For point S ( – 3 , 3 ) , where will the image of this point be located after applying the translation rule 3 units on the -axis and – 3 units on the -axis? ( 0 , 0 ) ( 0, 4 ) ( – 4 , 0 ) ( – 4 , 4 )

Answers

Answer 1

The image of the point after the transformation of 3 units on the x-axis and – 3 units on the y-axis is (0, 0)

Calculating the image of the point after the transformation

Given that the initial location of the point is

Point S = (-3, 3)

Next, we have the translation rule to be

3 units on the x-axis and – 3 units on the y-axis

Mathematically this can be expressed as

(x + 3, y - 3)

By substitution, we have

Image of point = (-3 + 3, 3 - 3)

Evaluate

Image of point = (0, 0)

Hence, the image is (0, 0)

Read more about transformation at

https://brainly.com/question/4289712

#SPJ1


Related Questions

What type of triangle is shown below?

Answers

Answer:

equalateral

Step-by-step explanation:

each side is equal to the next

Answer:

2. Equilateral

Step-by-step explanation:

Step 1: Process Of Elimination-

1. Right: No

This triangle is not a right triangle because it does not have a right triangle indicator nor does it equal 90°.

2. Equilateral: Yes

This triangle is an equilateral triangle because all 3 sides are equal and they add up to 180° meaning each side equal 60°.

3. Acute: No

A acute triangle is a triangle that is less then 90° but this triangle equals 180°.

4. Scalene: No

A scalene triangle is a triangle that has different side angles but they all add up to 180° but here we can see that the sides are equal.

Tammy is planning to garden a plot of land in the shape of a right triangle.


The length of the base of the plot is 12 feet, and the length of one side is 5 feet, as shown in the diagram. Tammy makes a scale drawing of the plot using a scale of 1 inch to 2 feet. The area of the plot in the scale drawing is
square inches.

Answers

Answer: 7.5 square inches

Step-by-step explanation: the ratio is 1:2 meaning we cut the numbers in half, then we can find area normally

5/2=2.5
12/2=6

2.5x6=15

15/2=7.5

A recipe says that 6 spring rolls will serve 3 people. How many people will 1 spring roll serve

Answers

Answer:

Step-by-step explanation:

the answer will be 2

Answer:

2 people

Step-by-step explanation:

6/3 = 2

Helping in the name of Jesus.

Multiply x times (y + 2)

Answers

Step-by-step explanation:

[tex]{ \tt{x(y + 2)}}[/tex]

We need to multiply inner terms i.e. y+2 with x

[tex]{ \red{ \tt{xy + 2x}}}[/tex]

Answer:

xy +2x

Step-by-step explanation:

x(y+2)

Distribute the x to each term inside the parentheses.

x*y + x*2

xy +2x

Which of the following combinations of side lengths will form a triangle with vertices X, Y, and Z?
A.
XY = 8 mm , YZ = 12 mm , XZ = 23 mm
B.
XY = 11 mm , YZ = 9 mm , XZ = 23 mm
C.
XY = 11 mm , YZ = 12 mm , XZ = 20 mm
D.
XY = 14 mm , YZ = 12 mm , XZ = 29 mm

Answers

The combinations of side lengths that will form a triangle with vertices X, Y, and Z are C and D.

For a set of three side lengths to form a triangle, the sum of any two sides must be greater than the third side. Using this property, we can determine which of the given combinations of side lengths will form a triangle with vertices X, Y, and Z.

A. XY = 8 mm, YZ = 12 mm, XZ = 23 mm

Here, XY + YZ = 8 mm + 12 mm = 20 mm, which is less than XZ = 23 mm. Therefore, this combination of side lengths will not form a triangle.

B. XY = 11 mm, YZ = 9 mm, XZ = 23 mm

Here, XY + YZ = 11 mm + 9 mm = 20 mm, which is less than XZ = 23 mm. Therefore, this combination of side lengths will not form a triangle.

C. XY = 11 mm, YZ = 12 mm, XZ = 20 mm

Here, XY + YZ = 11 mm + 12 mm = 23 mm, which is greater than XZ = 20 mm. Therefore, this combination of side lengths will form a triangle.

D. XY = 14 mm, YZ = 12 mm, XZ = 29 mm

Here, XY + YZ = 14 mm + 12 mm = 26 mm, which is greater than XZ = 29 mm. Therefore, this combination of side lengths will form a triangle.

Therefore, the combinations of side lengths that will form a triangle with vertices X, Y, and Z are C and D.

To learn more about combinations please click on below link.

https://brainly.com/question/30582704

#SPJ1

Which of the following combinations of side lengths will form a triangle with vertices X, Y, and Z?

A.XY = 8 mm , YZ = 12 mm , XZ = 23 mm

B.XY = 11 mm , YZ = 9 mm , XZ = 23 mm

C.XY = 11 mm , YZ = 12 mm , XZ = 20 mm

D.XY = 14 mm , YZ = 12 mm , XZ = 29 mm

What is the term-to-term rule of the linear sequence below? 1 , 7 , 13 , 19 , 25

Answers

Answer:6n-5

Step-by-step explanation:

1,7,13,19,25

It goes up in 6 each time, so you will need to go back 6 back on the number one, so it will be -5 so the answer will be 6n-5.

6(2)-5 = 7
6(3)-5 =13

Answer = 6n -5

Step by step

Nth term formula is a+(n-1) d
a=1
d=6

1 + (n-1) 6
Distribute multiply the 6 with term in ( )

1 + 6n -6
Simplify

6n -5 is your rule for the sequence

Check your work

Substitute sequence terms in for n

6(1) -5 = 1

6(2) -5 =7

6(3) -5 = 13

6(4) -5 = 19

6(5) -5 = 25

Solutions are correct, problem solved!

What is the value of x in the product of powers below
6 (to the power of 9) • 6 (to the power of X) = 6 (to the power of 2)
-11
-7
7
11
Pls help

Answers

Answer: 7

Step-by-step explanation:

Step 1: 6^9 * 6^x = 6^2

Step 2: 9 + x = 2

Step 3: x = 2 - 9

Step 4: x = -7

Step 5: Since the power of a number cannot be negative, x must be 7.

(Adding Integers MC) What is the value of 209 + −142 + −52? 15 −15 67 −194

Answers

The answer is positive 15 because the final result is 15 units to the right of zero on the number line.  

To solve this problem, we simply need to add the three integers together.

Starting with 209, we add -142 to get 67. Then, we add -52 to get a final result of 15. Therefore, the answer is 15.

To understand why the answer is positive, negative, or zero, we can think of integers on a number line. Positive integers are to the right of zero, negative integers are to the left of zero, and zero is at the center.

Starting with 209, we move 209 units to the right of zero on the number line. Then, adding -142 means moving 142 units to the left of zero, resulting in a position of 67 units to the right of zero. Finally, adding -52 means moving 52 units to the left of 67, resulting in a position of 15 units to the right of zero.

Therefore, the answer is positive 15 because the final result is 15 units to the right of zero on the number line.

To learn more about number line:

https://brainly.com/question/16191404

#SPJ4

Find n. Then find the area. Perimeter =60 2/4 in

Answers

The area of the rectangle is 220.5 square inches when the perimeter of the rectangle is 242/4 inch and  one side of the rectangle is 49/4 inch.

Perimeter = [tex]60 \frac{2}{4}[/tex] inch = 242/4 inch

one side of rectangle = [tex]12\frac{1}{4}[/tex] inch = 49/4

The perimeter of a rectangle is the sum of all its sides. In this case, we know that the perimeter of the rectangle is 242/4 inch, which simplifies to 60.5 inch. We also know that one side of the rectangle is 49/4 inch.

Let's call the other side of the rectangle "n". Then, we can write the equation:

2(49/4 + n) = 60.5

Simplifying this equation, we get:

98/4 + 2n = 60.5

24.5 + 2n = 60.5

2n = 36

n = 18

Therefore, the other side of the rectangle is 18 inch.

To find the area of the rectangle, we can use the formula:

Area = length * width

In this case, the length is 49/4 inch and the width is 18 inch. So, we have:

Area = (49/4) * 18 = 220.5 square inches

Therefore, the area of the rectangle is 220.5 square inches.

Learn more about Perimeter :

https://brainly.com/question/6465134

#SPJ4

The complete question is :

Find n. Then find the area. Perimeter = [tex]60 \frac{2}{4}[/tex] inch . If one side of rectangle = [tex]12\frac{1}{4}[/tex] inch and other n inch.

[50 POINTS]
What is the remainder when 3x^3−x^2+2x−4
is divided by (x - 2)?

The remainder is _______________________

Answers

Step-by-step explanation:

To find the remainder when 3x^3 - x^2 + 2x - 4 is divided by (x - 2), we can use synthetic division.

First, we write the coefficients of the polynomial in descending order of powers of x, with any missing terms represented by a coefficient of 0:

3 1 -1 2 -4

To perform synthetic division, we bring down the first coefficient (1) and multiply it by the divisor (x - 2) to get the first entry in the second row, which we then add to the second coefficient:

3 1 -1 2 -4

1

1

We repeat the process with the new coefficient in the third row, multiplying it by the divisor and adding it to the next coefficient:

3 1 -1 2 -4

1 3

1 2

Finally, we repeat the process with the new coefficient in the third row to get the last entry in the second row:

3 1 -1 2 -4

1 3 8

1 2 4

The last entry in the third row is the remainder, which is 4. Therefore, the remainder when 3x^3 - x^2 + 2x - 4 is divided by (x - 2) is 4.

Can someone PLEASE help me ASAP? It’s due today!! I will give you brainliest if it’s correct

Answers

Let's order them from most likely to least likely to occur:

Baseballs (0.3)Basketballs (0.24)Volleyballs (0.2)Soccer balls (0.16)Footballs (0.1)

How to solve

To calculate the probability of selecting each type of ball, we need to find the total number of balls in the bin first.

Then, we will divide the number of each type of ball by the total number of balls.

Total number of balls = 15 baseballs + 12 basketballs + 8 soccer balls + 5 footballs + 10 volleyballs

Total number of balls = 50 balls

Now, let's calculate the probability of selecting each type of ball:

Baseballs: P(Baseballs) = (Number of baseballs) / (Total number of balls) = 15/50 = 0.3

Basketballs: P(Basketballs) = (Number of basketballs) / (Total number of balls) = 12/50 = 0.24

Soccer balls: P(Soccer balls) = (Number of soccer balls) / (Total number of balls) = 8/50 = 0.16

Footballs: P(Footballs) = (Number of footballs) / (Total number of balls) = 5/50 = 0.1

Volleyballs: P(Volleyballs) = (Number of volleyballs) / (Total number of balls) = 10/50 = 0.2

Now, let's order them from most likely to least likely to occur:

Baseballs (0.3)Basketballs (0.24)Volleyballs (0.2)Soccer balls (0.16)Footballs (0.1)

Read more about probability here:

https://brainly.com/question/24756209

#SPJ1

Which of the following equations is the best model for a line of fit for the data?

Answers

An equation that is the best model for a line of best fit for the data include the following: C. y = 3/4x + 5.

How to write an equation of the line of best fit for the data set?

In order to determine an equation for the line of best fit that models the data points contained in the graph (scatter plot), we would have to use a graphing calculator (Microsoft Excel).

Based on the scatter plot (see attachment) which models the relationship between the x-values and y-values, an equation for the line of best fit is given by

y = 3x/4 + 5

In conclusion, we can reasonably infer and logically deduce that the scatter plot most likely indicates a linear relationship between the x-values and y-values.

Read more on scatter plot here: https://brainly.com/question/28220792

#SPJ1

Complete Question:

Which of the following equations is the best model for a line of fit for the data?

y= 1/4x + 5.

y= -1/4x + 5.

y= 3/4x + 5.

y= -3/4x + 5.

The gcf of 18,36 and me is 2.
I am a multiple of 5
I am greater than 18 and less than 30

Answers

Based on the information provided, the only possible number that satisfies all the conditions is 20.

What is GCF?

GCF stands for "Greatest Common Factor". It is also sometimes referred to as the "Greatest Common Divisor" (GCD). The GCF of two or more numbers is the largest positive integer that divides evenly into each of the numbers. In other words, it is the largest factor that the numbers have in common.

The GCF (Greatest Common Factor) of 18, 36, and a number N is 2. Since 18 and 36 are both even numbers with a common factor of 2, any number that satisfies this condition must also be even and have a factor of 2.

The number N is a multiple of 5. Since the number is even and has a factor of 2, the only even multiple of 5 between 18 and 30 is 20.

Finally, we are given that N is greater than 18 and less than 30. The only number that satisfies all the given conditions is therefore 20.

To know more about GCF visit:

brainly.com/question/11154053

#SPJ1

What is the purpose of doing a multiple comparison? Choose the correct answer below. O A. O B. O C. ○ D. A multiple comparison is used to compare the results of a one-way ANOVA to the results of a two-way ANOVA. A multiple comparison is equivalent to a one-way ANOVA, except for more than two populations. When at least one of the variances is different, a multiple comparison shows the relationship between the variances. When the null hypothesis of an ANOVA test is rejected, a multiple comparison shows the relationship between the population means. Click to select vour answer

Answers

The purpose of doing a multiple comparison is to show the relationship between the population means when the null hypothesis of an ANOVA test is rejected.

What is meant by the multiple comparison?

Multiple comparison is a statistical process that entails making a large number of comparisons, thus raising the chances of erroneously detecting false positives or type I errors.

When using multiple comparisons, there is a possibility that a statistical inference drawn for a single comparison is no longer valid.

Therefore, it is critical to adjust the p-values or confidence levels of these tests accordingly. As a result, multiple comparison methods have been devised.

The following are the purposes of doing multiple comparisons:

The relationship between the population means is shown when the null hypothesis of an ANOVA test is rejected.

A multiple comparison is used to compare the results of a one-way ANOVA to the results of a two-way ANOVA.

A multiple comparison is equivalent to a one-way ANOVA, except for more than two populations.When at least one of the variances is different, a multiple comparison shows the relationship between the variances.

The most important objective of multiple comparisons is to estimate, compare, and control the likelihood of making false conclusions.

Learn more about ANOVA test at

https://brainly.com/question/30127764

#SPJ11

Please help VERY SOON

Answers

The person who has the fastest speed is given as follows:

Aubri and Tyler(tied).

What is a proportional relationship?

A proportional relationship is a type of relationship between two quantities in which they maintain a constant ratio to each other. This means that if one quantity is multiplied by a certain factor, the other quantity will also be multiplied by the same factor.

The equation that defines the proportional relationship is given as follows:

y = kx.

In which k is the constant of proportionality, representing the increase in the output variable y when the constant variable x is increased by one.

The constant for each person, representing the velocity, is given as follows:

Tyler: 6/4 = 3/2 = 1.5.Aubri: 3/2 = 1.5.Kyote: 5/4 = 1.25.

Missing Information

The problem asks for the person who has the fastest speed.

More can be learned about proportional relationships at https://brainly.com/question/7723640

#SPJ1

Kevin ate 5/12 of a pizza. Which is a better estimate for the amount of pizza that he ate: about half of the pizza or almost all of the pizza?​

Answers

okay!

here is the solution :-)

about 6/12 would be half!

:)

Answer:

Step-by-step explanation:

answer: about half the pizza as 5/12 is closer to half(6/12) then the full pizza (12/12)

A raccoon consumes 500 calories of food. 50 of those

calories are converted to blomass. In other words:

50 calories turn into plant matter

50 calories leave the raccoon's body as waste

C

It uses 50 calorles of energy to keep warm, reproduce, and

move around

uses

50 calories of energy are stored In Its body

Answers

A raccoon consumes 500 calories of food. Of those calories, 50 are transformed into biomass. In other words, 50 calories of energy are stored In Its body. So, option D is correct.

When a raccoon eats 500 calories of food, some of those calories go towards its daily needs for warmth, movement, and reproduction. The raccoon's body does not store this energy; instead, it is transformed into other forms, including heat and movement. In addition, a portion of the energy in meals is expelled as waste rather of being absorbed. Nonetheless, 50 calories of the food's energy are transformed into biomass, which is then stored as fat or tissue in the raccoon's body. Thus, the right response is D) Its body stores 50 calories of energy.

Learn more about Calories:

brainly.com/question/29096838

#SPJ4

The actual question is:

A raccoon consumes 500 calories of food. Of those calories, 50 are transformed into biomass. In other words:

A) 50 calories turn into plant matter.

B) 50 calories leave the raccoon's body as waste.

C) In order to stay warm, reproduce, and move around, it needs 50 calories of energy.

D) 50 calories of energy are stored In Its body

Write the equation of the parabola that has its vertex at (3,-12) and passes through the point (0,6)

Answers

Answer:

y=2(x-3)²-12

Step-by-step explanation:

Carlos has scored 24, 19, 20, and 28 points in his four basketball games so far. How many points does he need to score in the next game so that his average (mean) is 24 points per game?

Answers

Carlos needs to score 29 points in the next game to have an average of 24 points per game.

What is the mean and standard deviation?

The standard deviation is a summary measure of the differences of each observation from the mean. If the differences themselves were added up, the positive would exactly balance the negative and so their sum would be zero. Consequently, the squares of the differences are added.

According to the given information:

Let x be the number of points Carlos needs to score in the next game to have an average of 24 points per game.

To find the solution, we can use the formula for the mean of a set of numbers:

(mean) = (sum of numbers) / (number of numbers)

In this case, we want the mean to be 24, and we have 5 numbers (4 previous game scores and the score in the next game), so:

24 = (24 + 19 + 20 + 28 + x) / 5

Multiplying both sides by 5, we get:

120 = 91 + x

Subtracting 91 from both sides, we get:

x = 29

Therefore, Carlos needs to score 29 points in the next game to have an average of 24 points per game.

To learn more about the mean and standard deviation visit:

brainly.com/question/475676

#SPJ1

Algebraic expressions for geometry( just beginning geometry) please help this is 2 months late

Answers

We can see here:

4. Given: 6x + 7 = 8x - 17. Prove: x = 12

Statements                         Reasons

1. 6x + 7 = 8x - 17                     Given

2. 7 = 2x - 17               Subtracted 6x from both sides    

3. 24 = 2x                    Added 17 to both sides

4. 12 = x                       Divided both sides by 2

5. x = 12                       Final answer proven

What is an algebraic expression?

An algebraic expression is a mathematical phrase that can contain numbers, variables, and mathematical operations such as addition, subtraction, multiplication, and division. It can represent a value, an equation, or a formula.

5. Given: -7(x + 2) + 4x = 6(2x - 4): Prove: x = 2/3

Statements                               Reasons

1. -7(x + 2) + 4x = 6(2x - 4)   Given

2. -7x - 14 + 4x = 12x - 24     Opened the brackets by multiplying all

3. -3x - 14 = 12x - 24          Added -7x and 4x at LHS      

4. -15x - 14 = -24               Subtracted 12x from both sides

5. -15x = -10                      Added 14 to both sides          

6. x = 2/3                          Divided both sides by -5 to arrive to the result.

6. Given: 3x + 1 = -14: Prove: x = -5

Statements                        Reasons

1. 3x + 1 = -14                   Given

2. 3x = -15                       Subtracted 1 from both sides

3.  x = -5                        Divided both sides by 3. Final answer proven.

7. Given: 2(x - 9) = -10; Prove: x = 4

Statements                           Reasons

1. 2(x - 9) = -10                 Given

2. 2x - 18 = -10                Opened the brackets.

3. 2x = 8                         Added 18 to both sides

4. x = 4                          Divided both sides by 2. Final answer proven.

Learn more about algebraic expression on https://brainly.com/question/4344214

#SPJ1

     

Let B and C be two ordered bases of Rº, and consider a linear transformation T:RR. Suppose that the change of base matrix Ic,B is given by 1-3 -1 1] -1 2 -1 -1 -3 -2] and the coordinate matrix Tc,c of T with respect to C is given by -2 -2 -27 |-1 -3 -1. | 2 0 -1] Use this to determine coordinate matrix TB,B of T with respect to B! TB,B =

Answers

The coordinate matrix TB,B of a linear transformation T with respect to bases B and C is found to be [2 5 4; 1 1 2; -1 -1 -1].

To find the coordinate matrix TB,B of T with respect to B, we can use the formula:

TB,B = Ic,B * Tc,c * Ib,c

where Ib,c is the change of basis matrix from basis B to basis C.

To find Ib,c, we can use the inverse of Ic,B:

Ib,c = (Ic,B)^(-1)

We can use a calculator to find the inverse of Ic,B:

Ib,c = [1/4 1/4 -1/4]

[ 0 1 1 ]

[-1/4 -3/4 3/4]

Now, we need to calculate Ic,B * Tc,c:

Ic,B * Tc,c = [ 1 -3 -1 ] [-2 -2 -27 ] [ 1/4 1/4 -1/4 ] = [ 23 29 68 ]

[-1 2 -1 ] [-1 -3 -1 ] [ 0 1 1 ] [-15 -23 -48]

[-1 -3 -2 ] [ 2 0 -1 ] [-1/4 -3/4 3/4 ] [ 3 11 25]

Finally, we can calculate TB,B:

TB,B = (Ic,B * Tc,c * Ib,c)^(-1)

We can use a calculator to find the inverse of Ic,B * Tc,c * Ib,c:

TB,B = [ 2 5 4 ]

[ 1 1 2 ]

[-1 -1 -1 ]

To know more about coordinate matrix:

https://brainly.com/question/31052618

#SPJ4

Gina was shopping and saw a t-shirt she really liked, but could not decide which color to buy. The clerk said she would reduce the price by $2.50 per shirt if Gina bought more than one. She purchased 5 shirts all in different colors, for a total of $47.50. Write an equation to find the original cost of one shirt.

Answers

Let x represent the original cost of one shirt. The equation is 5x - 47.50 = 0, which can be solved to find that x = $9.50.

Gina was shopping and saw a t-shirt she liked, but couldn't decide which color to buy. The clerk offered to reduce the price by $2.50 per shirt if Gina bought more than one. She decided to purchase 5 shirts in different colors and the total cost of all 5 shirts was $47.50. To find the original cost of one shirt before the discount, we can set up an equation. Let x represent the original cost of one shirt. The equation would be 5x - 47.50 = 0, since the total cost of the 5 shirts was $47.50. When this equation is solved, x = $9.50, which is the original cost of one shirt before the discount. Therefore, the total cost of all 5 shirts was reduced by $2.50 for each shirt, from $9.50 to $7.00.

Learn more about equation here

https://brainly.com/question/29657992

#SPJ1

Find x. Please help I don't know

Answers

Probably 26 :P

Because its like almost double of 10 but it is not....

HOPE THAT MADE SENSE!

Answer: well imma said x=19

Step-by-step explanation:

because All the diameter of the circle is equal.

So 14+15=29

And X is

29-10=19

what are the parameters of the relevant standard beta distribution?

Answers

The parameters of the relevant standard beta distribution are alpha and beta.

Determine the shape of the beta distribution

These are two parameters that determine the shape of the beta distribution

.The standard beta distribution is a continuous probability distribution that is defined on the interval [0, 1]. It is often used to model the probability of success or failure in a binary experiment.

The two parameters of the standard beta distribution determine the shape of the distribution. Alpha is the shape parameter that determines the slope of the distribution, while beta is the shape parameter that determines the height of the distribution.

The standard beta distribution is often used in Bayesian statistics to model the prior probability of a parameter. It is also used in applications such as modeling the proportion of a population that has a particular characteristic or modeling the probability of default on a loan.

Learn more about alpha and beta at

https://brainly.com/question/2264128

#SPJ11

Factor 12y−18 using the GCF.

Answers

Answer:

6(2y-3)

Step-by-step explanation:

Both 12 and 18 divide by 6.

12/6= 2 and 18/6 = 3

So we can take 6 out and put it outside the bracket and have 2y and 3 on the inside.

Tania is riding a train for $43.6$ miles to get to her destination. The train has $14.3$ more miles to travel before arriving at Tania's destination.

Which equation and solution correctly represent how many miles, $m$ , the train has already traveled?
Responses

Answers

Answer:

The answer to your problem is:

m +14.3 =43.6

m =29.3

Step-by-step explanation:

Miles to travel: 43.6

Miles left to travel: 14.3

To find the amount of miles that the train has already traveled (m), we know that the sum of that value (m) and the miles left to travel (14.3) is equal to the total miles (43.6)

m +14.3 = 43.6

m = 43.6-14.3= 29.9

Thus the answer to your problem is,

m +14.3 =43.6

m =29.3

[tex]\frac{2}{3}a + 2 = \frac{1}{3}(4a + 1)[/tex]


solve for "a"

Answers

Answer:

a=5/2

Step-by-step explanation:

Answer:

a = [tex]\frac{5}{2}[/tex]

Step-by-step explanation:

[tex]\frac{2}{3}[/tex] a + 2 = [tex]\frac{1}{3}[/tex] (4a + 1)

multiply through by 3 to clear the fractions

2a + 6 = 4a + 1 ( subtract 4a from both sides )

- 2a + 6 = 1 ( subtract 6 from both sides )

- 2a = - 5 ( divide both sides by - 2 )

a = [tex]\frac{-5}{-2}[/tex] = [tex]\frac{5}{2}[/tex]

In the figure DB bisects

Answers

So, the measure of angle B is 90 degrees.

What is angle?

An angle is a geometric figure formed by two rays or line segments that share a common endpoint, called the vertex. The two rays or line segments are called the sides or arms of the angle. Angles are typically measured in degrees or radians, and they are used to measure the amount of rotation between two lines or planes. A full rotation is 360 degrees or 2π radians, while a half rotation is 180 degrees or π radians. Angles play an important role in geometry, trigonometry, physics, engineering, and many other fields of science and mathematics.

by the question.

To find the measure of angle B, you need to use the fact that angle DB bisects angle ADC. This means that angle ADB and angle CDB are congruent, or have the same measure. So you can set the measure of angle ADB equal to the measure of angle CDB and solve for x.

Once you have found the value of x, you can substitute it into either equation for angle ADB or angle DBC to find the measure of that angle. Finally, since angle B is an exterior angle of triangle ADB, its measure is equal to the sum of the measures of angles ADB and DBC.

So, the steps to find the measure of angle B are:

Set the measure of angle ADB equal to the measure of angle CDB:

(3x - 12) = (2x + 6)

Solve for x:

x = 18

Substitute x = 18 into either equation for angle ADB or angle DBC to find the measure of that angle:

angle ADB = (3x - 12) = (318 - 12) = 48 degrees

angle DBC = (2x + 6) = (218 + 6) = 42 degrees

Find the measure of angle B as the sum of the measures of angles ADB and DBC:

angle B = angle ADB + angle DBC = 48 + 42 = 90 degrees.

To learn more about measures:

https://brainly.com/question/2384956

#SPJ1

five cores are removed from a new section of an asphalt highway. the following percentages of air voids were obtained from laboratory analyses: 3.7, 4.5, 4.1, 4.7, 3.9. past studies have suggested that the standard deviation of the air void content is 0.5%. compute the 95%, two-sided confidence interval on the mean

Answers

The two sided confidence interval on mean is 3.56 and 4.80.

What is confidence interval?

The proportion of probability, or certainty, that the confidence interval would include the real population parameter when a random sample is drawn numerous times is referred to as the confidence level.

The given data is  3.7, 4.5, 4.1, 4.7, 3.9.  Here n = 5

=> σ = 1- 95% = 5% = 0.05

We know that the confidence interval is

=> CI = [tex]\overline x {\displaystyle \pm }\frac{z(\sigma)}{\sqrt n}[/tex]

Here 95% confidence level so z= 1.96

Mean [tex]\overline x = \frac{3.7+4.5+4.1+3.9+4.7}{5} = 4.18[/tex] and σ = 0.5

Here  n<30 so we can use t instead of z then t-value = 2.776.

Now confidence level CI = [tex]\ 4.18 {\displaystyle \pm }\frac{2.776\times0.5}{\sqrt 5}[/tex]

=> CI = 4.18 [tex]\display \pm[/tex] 0.62 = ( 3.56 , 4.80)

Hence the two sided confidence interval on mean is 3.56 and 4.80.

To learn more about confidence level refer the below link

https://brainly.com/question/29576113

#SPJ1

help asapp!!!!!!!!!!!!!

Answers

The total length of the cross-country course include the following: 16 miles.

How to calculate the perimeter of a rectangle?

In Mathematics and Geometry, the perimeter of a rectangular shape such as a parallelogram can be calculated by using this mathematical expression;

P = 2(L + B)

Where:

P represent the perimeter of a rectangle.B represent the breadth of a rectangle.L represent the length of a rectangle.

By substituting the given side lengths into the formula for the perimeter of a rectangular shape, we have the following;

P = 2(L + B)

P = 2(6 + 2)

P = 2(8)

P = 16 miles.

Read more on perimeter of a rectangle here: brainly.com/question/28695033

#SPJ1

Complete Question:

A cross-country course is in the shape of a parallelogram with a base of length 6 mi and a side of length 2 mi.

What is the total length of the cross-country course?

Answer:    The total length of the cross-country course include the following: 16 miles.

How to calculate the perimeter of a rectangle?

In Mathematics and Geometry, the perimeter of a rectangular shape such as a parallelogram can be calculated by using this mathematical expression;

P = 2(L + B)

Where:

P represent the perimeter of a rectangle.

B represent the breadth of a rectangle.

L represent the length of a rectangle.

By substituting the given side lengths into the formula for the perimeter of a rectangular shape, we have the following;

P = 2(L + B)

P = 2(6 + 2)

P = 2(8)

P = 16 miles.

Read more on perimeter of a rectangle here: brainly.com/question/28695033

#SPJ1

Complete Question:

A cross-country course is in the shape of a parallelogram with a base of length 6 mi and a side of length 2 mi.

What is the total length of the cross-country course?

Step-by-step explanation:

Other Questions
Move your mouse cursor over the hydrochloric acid (HCl) and sodium hydroxide(NaOH) on the Materials shelf. You will see that the concentration of the sodium hydroxide is known to be 0.1 M while the concentration of hydrochloric acid is unknown.Take a burette from the Containers shelf and place it on the workbench.Add 50 mL of sodium hydroxide (NaOH) titrant. (50 mL is the capacity of a burette). Notice that it doesn't fill completely to the top mark. This is because there is space in the burette below the bottom mark. In addition, this is NOT the volume in the burette but rather this is your INITIAL READING. In the wet lab, you would need to let some of the solution flow through the stopcock in order to assure that the NaOH solution completely filled the volume of the burette down to the tip. You don't have to do that here.Note the buret reading as your initial NaOH volume (mL). You can double click on the buret and select show close up to view the volume more closely.Take a clean Erlenmeyer flask from the Containers shelf and place it on the workbench.Add 10 mL of hydrochloric acid(HCl), unknown concentration, to the Erlenmeyer flask. Record the volume of HCL (mL).Add 10 mL of water to the Erlenmeyer flask. This increases the total volume in the flask, making it easier to see the color change, but note that the value to use for the volume of hydrochloric acid HCl when calculating its concentration is still 10 mL.Add 2 drops of phenolphthalein solution to the Erlenmeyer flask.Move the Erlenmeyer flask anywhere on the base of the burette. The Erlenmeyer flask is connected to the burette so that liquid will drip from the burette into the Erlenmeyer Flask.Flow of the titrant from the burette is controlled by the black knob at the bottom of the burette glass tube. You can deliver one drop of titrant with each short click of the black knob, and you can deliver a stream of titrant from the burette by clicking-and-holding the black knob - the longer you hold the knob, the more titrant will be delivered all at once. Here is what the setup on your workbench should look like:TitrationTutorialPicYou are now ready to start the first coarse titration. Try to find the length of time required to click and hold the burette knob so that you deliver approximately 2 mL of sodium hydroxide from the burette to the Erlenmeyer flask. After each click of the knob, move the mouse cursor over the burette this will enable you to see its current volume. To determine the amount of titrant delivered from the beginning until now, subtract the amount of liquid currently in the burette from the starting volume.Continue to add the sodium hydroxide titrant in 2 mL increments. Each time, note the burette volume level. Note when the end point is passed (when the color of your solution changes). You now know between which two readings the endpoint occurred. For example, if you recorded 32 mL before the end point, but 34 mL was past the endpoint, record the 32 mL as your FINAL NaOH (mL). Calculate the volume of titrant that was added when 32 mL were delivered (subtract your INITIAL NaOH (mL) reading). You know that the FINE TITRATION can begin after approximately that amount of titrant.Remove the Erlenmeyer flask from the burette and place them both in the Recycle Bin.Take a clean Erlenmeyer flask from the Containers shelf and place it on the workbench.Add 10 mL of hydrochloric acid, 10 mL of Water and 2 drops of phenolphthalein to the Erlenmeyer flask.Place the Erlenmeyer flask at the base of a new burette.Add 50 mL of sodium hydroxide titrant to the burette.Add the initial large quantity of titrant, determined performing the coarse titration, (which in the example in #10, was 16 mL) so that you can begin with the fine titration. The solution in the Erlenmeyer flask should still be colorless.Add sodium hydroxide from the burette drop-wise. This means adding a single drop at time which is done with single, short clicks on the black knob. You may decide to click and hold for short times, but in doing so you may miss the exact endpoint of the titration.When the solution in the Erlenmeyer flask changes color, stop adding titrant. Record FINAL NaOH (mL) reading. Calculate the NaOH Delivered (mL) by subtracting the initial reading from the final reading.In theory, we would repeat at least two more FINE TITRATIONS with fresh samples of HCl and full burets. However, since this is just a tutorial, exit the lab once you have a copy of your data and go to the assignments to calculate the concentration of the hydrochloric acid (HCl).when read the procedures for this experiment, you find that you will need two burets. what is the purpose of the second buret? In fruit flies, allele for long wing is dominant to the allele for vestigial wing. When heterozygous long winged flies were crossed with vestigial winged flies, 192 offsprings were produced. Of these 101 had long wing & 91 had vestigial wings.If an exact Mendelian ratio had been obtained, then the number of each phenotype would have beenO Long winger - 64Vestigial winged - 128O Long winger - 96Vestigial winged - 96O Long winger - 128Vestigial winged - 64O Long winger - 192Vestigial winged - 0 The volume of the dining room is given by (x+6)^3 express the volume in standard form what would you predict would happen in an area of the body where blood was relatively acidic (low ph)? allowing a merchant to increase their prices during an emergency to accommodate increased costs imposed by suppliers still fails to take account of the Need some help with this question if china has a 10% annual growth rate in real gdp and germany has a 2% annual growth rate, china's gdp will double how many years sooner than germany's? FH bisects ZEFG. Find the indicatedangle measures. m/GFH=71. Find m/EFH andm/EFG. m/EFH=m/EFG = write a matlab program in a script file that finds a positive integer n such that the sum of all the integers 1 2 3 n is a number between 100 and 1,000 whose three digits are identical. as output, the program displays the integer n and the corresponding sum. What is the moral of "The Arab and his Camel"? Please help this one from which political viewpoint would someone claim that free-market economics, with minimal regulation by government, produces the greatest good for the greatest number of people? When did humans start creating works of art? how many grams of Fe will be produced if 39.64 grams of CO2 are used? 50 PTS!! only right answers pls!!yesterday there were b junebugs. today there are [tex]b^{2}[/tex] junebugs. how many where there yesterday? What's the meaning of ENIAC ? when countries sell off state-owned enterprises and privatize them, it usually results in a(n) group of answer choices lack of accommodation of outside investors. decline in productivity throughout the private sector. increase in modernization by new investors. instant change in political leadership. continuing drain on future natural resources. NEED HELP FASTA farmer wants to know if a new fertilizer will produce better tomatoes than his old fertilizer. Which statement describes the best hypothesis to use to address his question ? A. If the new fertilizer is used, bigger tomatoes will be produced than if the old fertilizer is used. B. If the new fertilizer is used, the tomato plants will need less water than if the old fertilizer is used. C. Using the new fertilizer is better for the environment than using the old fertilizer D. Using the new fertilizer is less expensive than using the old fertilizer. Who won march madness as both a player and a coach? Fat is the most efficient way to store energy, with 5 calories per gram versus the 4 and 3 calories for carbohydrate and protein, respectively.true or false