Luke and Seth each need to buy the same amount of fencing for their gardens. While Seth's garden is square in shape, Luke's garden is rectangular with the length 3 feet longer than Seth's. Luke's width is half of the length of his own garden.

How much fencing did each buy? Need this asap please and thank you.

option

40. 5 feet


81 feet


72 feet


36 feet

Answer:

a) y = (x + 1)^2 - 3

b) minimum

c) (-1, -3)

Step by step:

We start with the equation:

y = x^2 + 2*x - 2

First, we want to complete the square to write the equation in the vertex form.

y = (x - h)^2 + k

Such that the vertex is (h, k)

To complete the square, we can write this as:

y = x^2 + 2*1*x - 2

Now we can add and subtract 1

y = x^2 + 2*1*x + 1 - 1 - 2

y = (x^2 + 2*1*x + 1) - 3

The thing inside the parentheses can be written as:

x^2 + 2*1*x + 1 = (x + 1)^2

Then the quadratic equation will be written as:

y = (x + 1)^2 - 3

This is the vertex form.

b) Now we want to know if the vertex is a minimum or a maximum.

Remember that the leading coefficient tells use if the graph of the function opens up or down.

If the leading coefficient is positive, the graph opens up (then the vertex is a minimum)

If the leading coefficient is negative, the graph opens down (then the vertex is a maximum)

In this case, we can write:

y = 1*(x + 1)^2 - 3

The leading coefficient is 1, positive.

Then the vertex is a minimum.

c) The coordinates of the vertex are:

Remember that in the vertex form:

y = (x - h)^2 + k

the vertex is (h, k)

Then the vertex of our equation is:

(-1, - 3)

Answer:

-30+18q

Step-by-step explanation:

First, distribute the five to the terms in the parenthesis.

5x-6 and 5x4q

so -30+20q-2q

20q-2q equals 18q

so we are left with -30+18q.

Answer:

Step-by-step explanation:

slope is the coefficient of x when the coeficient of y is 1.

we need change the form.

2y=x+8

y=[tex]\frac{1}{2}[/tex]x+4

so, the slope of a line parallel to the line is 1/2

Answer:

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y = (x + 1) (x - 1) (x - 3)

Use the distributive property to multiply x+1 by x-1 and combine like terms.

y = (x² - 1) (x - 3)

Use the distributive property to multiply x² - 1 by x - 3.

y = x³ - 3x² - x + 3.

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The range of a sample data collected by a researcher is 10 . So, correct answer is option (C).

Range of a sample data is calculated by using the formula to determine the difference between the highest and lowest value in sample set of values.

R = Highest Value (H) - Lowest Value (L)

Range Formula, R = H - L

Where, R --> range

H --> the highest value

L --> the lowest value

We have, a reaseacher collected a sample data .

Sample data values are following,

3 5 12 3 2

The mean of sample data = 5

Range of sample data = highest data value - lowest data value

There is highgest data value = 12

and lowest data value = 2

Range = 12 - 2 = 10

So, the required range of sample data is 10.

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Complete question:

A researcher has collected the following sample data. The mean of the sample is 5

"3 5 12 3 2"

Refer to Exhibit 1. The range is:

A)1

B)2

C)10

D) 12

Answer:

254.88

Step-by-step explanation:

198 + 6% + 45

The Complete is showing the length of the fence and the cost.

Length of fencing  4  6      7    9  10

Cost:                       36 54  63 81  90

In general, the term "proportion" refers to a part, share, or amount that is compared to a total.

According to the concept of proportion, two ratios are in proportion when they are equal.

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Given:

Length of fencing  4  6  7  x  10

Cost:                       36 y z 81 w

Now, Using proportion

4/ 36 = 6/y

4y = 36(6)

y = 54

and, 4/36 = 7/z

4z = 36 (7)

z = 63

and, 4/36 = x /81

x = 9

and, 4/36 = 10/w

360 = 4w

w= 90

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Answer:

a bucket contains two red, three white and one green ball.

If three balls suddenly come off, what is the chances of getting two white balls from those balls

Answer:

10

Step-by-step explanation:

212-198= 14 rounded down to 10

Answer:

2

Step-by-step explanation:

Prime Factorization of 14

Prime factors of 14 are 2, 7. Prime factorization of 14 in exponential form is:

14 = 21 × 71

Step-2: Prime Factorization of 32

Prime factors of 32 are 2. Prime factorization of 32 in exponential form is:

32 = 25

Step-3: Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1, 2, 7

Step-4: Factors of 32

List of positive integer factors of 32 that divides 14 without a remainder.

1, 2, 4, 8, 16

Final Step: Greatest Common Factor Number

We found the factors and prime factorization of 14 and 32. The biggest common factor number is the GCF number.

So the greatest common factor 14 and 32

Therefore , As a result, 80x + 60y ≥ 6800 is the answer to the inequality problem given.

Both formulae and inequalities are mathematical phrases created by connecting two expressions. The equal sign (=) in an equation denotes that the two expressions are regarded as equal. In contrast, an inequality indicates that the two phrases are not always equal by using the symbols >,≥,≤, or.<

Here,

Let the quantity of sold laptops, x

y —- the quantity of sold smartphones

The fact that to solve this problem we use inequality help

The problem's underlying inequity is equal to

=> 80x + 60y ≥6800

Therefore , As a result, 80x + 60y ≥ 6800 is the answer to the inequality problem given.

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Answer:

C. Last week it rained every day in San Antonio, Texas

Step-by-step explanation:

Climate is the long-term pattern of weather and temperature. The third answer does not talk about the weather of San Antonio from a long-term perspective, instead, it only discusses a week. The climate of San Antonio should refer to the rain patterns of multiple years, not days.

There are basically 6 types of angles are there which are acute, obtuse, right, straight, reflex and complete angles.

If an angle is less than 90 degrees, it is known as an acute angle. If an angle is more than 90 degrees, then it is called an obtuse angle. If an angle is exactly 90 degrees, then it is called the right angle.

If an angle is precisely 180 degrees, then it is called a straight angle. If the angle is more than 180 degrees but less than 270 degrees, it is known as a reflex angle. A full 360-degree angle is called a complete angle.

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Answer:

may be that is not V that mau be some numbers

Answer: m = -1/10

Step-by-step explanation:

Use the slope formula to find the slope m.

m = −1/10

The best approximate average (arithmetic mean) number of calories per bag is equal to: D) 2,500.

In Mathematics, an arithmetic average is sometimes referred to as arithmetic mean and it can be defined as a ratio of the sum of the total number in a data set (population) to the frequency of the data set.

Mathematically, the arithmetic average for the number of calories per bag can be calculated by using the following formula:

Arithmetic average = [F(x)]/n

Next, we would determine the total number of calories and then convert to ounces:

Total number of calories, F(x) = 198 + 80 + 159 + 166 + 185

Total number of calories, F(x) = 788 calories.

Note: 1 pound = 16 ounces.

Total number of calories, F(x) = 788 calories × 16 ounces

Total number of calories, F(x) = 12,608 calories.

Now, we can calculate the arithmetic average for the number of calories per bag:

Arithmetic average = [F(x)]/n

Arithmetic average = 12,608/5

Arithmetic average = 2,521.6 ≈ 2,500.

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Answer: It”ll take Emily five weeks to buy the sound system.

Answer:

5 weeks

Explanation:

Emily has already saved $74 and need to make 149 we know she makes $15 a week 15*5=75

75+74=149

so it would take 5 weeks for Emily to get a sound system.

The probability that the vehicle you choose has any color other than the six listed is 0.295.

In the given question, the probabilities of the most popular colors for vehicles made in North America in 2000 is given as:

Color:          Silver   White   Black   Dark green   Dark blue   Medium red

Probability:  0.176   0.172   0.113         0.089         0.088          0.067

We have to find the probability that the vehicle you choose has any color other than the six listed.

P(the probability that the vehicle you choose has any color other than the six listed) = 1 - (the sum of the vehicle that are listed)

P(the probability that the vehicle you choose has any color other than the six listed) = 1 - (0.176 + 0.172 + 0.113 + 0.089 + 0.088 + 0.067)

P(the probability that the vehicle you choose has any color other than the six listed) = 1 - 0.705

P(the probability that the vehicle you choose has any color other than the six listed) = 0.295

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Answer:

Step-by-step explanation:

5 : 25

In simplest form

1 : 25

In fraction form

1/25

In decimal form

0.04

150 : 300

In simplest form

1 : 2

In fraction form

1/2

In decimal form

0.5

The amount of money owned by JIm is $9

From the question, we have the following parameters that can be used in our computation:

The ratio of the amount owned by Tim tohe ratio of the amount owned by Jim is 6 : 1

This means that

Tim : Jim = 6 : 1

Also from the question, we have

Tim gets $54

This means that

Tim = 54

Substitute the known values in the above equation, so, we have the following representation

54 : Jim = 6 : 1

Multiply by 9

54 : Jim = 54 : 9

So, we have

Jim = 9

Hence, the amount is $9

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Answer:

4

Step-by-step explanation:

Base times height divided by 2 is the area. If the area is 8 you need to know what would make it 8

So

4x4/2=8

Answer:

y=15(2)ˣ

Step-by-step explanation:

If each term is being multiplied by 2 starting with 15, then the exponential equation that models this sequence is y=15(2)ˣ where x is the nth term of the sequence.

Answer:

mrk me brainliest first plzz

Step-by-step explanation:

The value of each trigonometric ratio is given by :

sin A = 5/13 , cos A = 12/13, tan A = 5 / 12

cosec A = 13 /5 , sec A = 13/12 , cot A = 12 /5.

As given in the question,

Let us consider a triangle be ABC,

Figure is attached.

Side length is given by:

AC = 39

AB = 36

BC = 15

AC represents the longest side

( 36 )² + (15)² = (39)²

⇒AB² + BC² = AC²

By Pythagorean triplets ABC is right angled triangle.

All trigonometric ratio with respect to angle A is given by :

sin A = BC / AC

        = 15/39

        = 5/13

cos A = AB / AC

         = 36 /39

         = 12 /13

tan A = BC / AB

         = 5 /12

cosec A = 1/ sin A

              = 13 /5

sec A = 1/ cos A

         = 13 /12

cot A = 1 / tan A

         = 12 /5

Therefore , the value of all six trigonometric ratio is equal to

sin A = 5/13 , cos A = 12/13, tan A = 5 / 12

cosec A = 13 /5 , sec A = 13/12 , cot A = 12 /5.

The above question is incomplete , the complete question is :

Find the value of each trigonometric ratio tan A

Figure is attached.

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The measure of the central tendency is 67 as the data in the set are integers.

A single number that seeks to characterize a set of data by pinpointing the center position within that set of data is referred to as a measure of central tendency.

As a result, measures of central location are occasionally used to refer to measures of central tendency. They also fit within the category of summary statistics. You are probably most familiar with the mean (sometimes known as the average), but there are additional central tendency measures, including the median and the mode.

Given, A data set 70, 67, 75, 60, 67, 65.

Arranging the data set in ascending order,

60, 65, 67, 67, 70, 75.

Now, The mean of the set is (60 + 65 + 67 + 67 + 70 + 75)/6.

= 67.33.

Mode of the data set 67.

So, The central tendency of the data set is 67 as the data in the set are all integers.

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Step-by-step explanation:

Triangle ABC is usually followed the AB=BC = AC

The statements to determine that triangle ABC is an equilateral triangle are, ∠A ≅ ∠B, ∠A ≅ ∠B ≅ ∠C, AB = BC and AB = BC = AC.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know, In an equilateral triangle, The length of all the sides are equal and the measure of all the individual angles is 60°.

Therefore, The statements that makes the given triangle ABC an equilateral triangle is,

∠A ≅ ∠B.

∠A ≅ ∠B ≅ ∠C.

AB = BC.

AB = BC = AC.

Q. Choose all of the statements that contain enough information to determine that triangle ABC is an equilateral triangle.

A. ZA ZB

B. ZA ZB ZZC

C. MZA + m2C = 90°

D. AB = BC

E. AB = BC = AC

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Three straight sides and three angles make up the shape of a triangle. The angles of a triangle can either be acute, right, or obtuse. An angle with three acute angles is a triangle where all three angles measure less than 90 degrees.

A triangle is a three-sided shape with three angles. The sum of the internal angles of a triangle is always 180 degrees. An angle is the amount of turn or change in direction between two lines. There are three types of angles, acute, right and obtuse. An acute angle is an angle which measures less than 90 degrees. A right angle is an angle which measures exactly 90 degrees, and an obtuse angle is an angle which measures more than 90 degrees. Therefore, an angle with three acute angles is a triangle where all three angles measure less than 90 degrees. A triangle with three acute angles is also known as an acute triangle. All three angles must add up to 180 degrees, so the measure of each angle must be less than 60 degrees.

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