3. Which translation moves point X so that
its image is on the y-axis?
A (x,y) → (x + 4, y + 8)
B (x,y) → (x-4, y + 8)
C (x, y) → (x+8, y + 4)
D(x, y) → (x+8, y - 4)
Answers
In addition, the image's y-coordinate would be , this indicates that we must raise the point by to align it with the y-axis. Hence, D is the right response.
What kind of coordinate is that?Option A moves the point 4 units horizontally and 8 units vertically, but does not move it onto the y-axis.
Option B moves the point -4 units horizontally and 8 units vertically, but does not move it onto the y-axis.
Option C moves the point horizontally by 8 units and vertically by 4 units, but it does not move it to the y-axis.
Option D moves the point 8 units horizontally and -4 units vertically. When we apply this transformation to an x-axis point, its y-coordinate remains unchanged, so the point's image is on the y-axis. As a result, option D is the correct translation:
(x, y) → (x+8, y-4)
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Related Questions
what number is 8% less than 200?
how do you solve this step by step
Answers
Answer:
184
Step-by-step explanation:
what number is 8% less than 200?
how do you solve this step by step?
find 8% of 200
200 : 100 x 8 =
16
take off 8% (it's 16) from 200200 - 16 =
184
PLEASE ANSWER DUE TONIGHT: Find the surface area and volume of the composite figure.
Answers
The surface area and volume of the two cuboids are 124 sq.ft, 72 cubic f
What do you mean by surface area ?Surface area refers to the total area that the surface of a three-dimensional object covers. It is the sum of the areas of all the faces or surfaces of the object. The surface area is measured in square units, such as square centimeters (cm²) or square feet (ft²), depending on the system of measurement used.
It seems like you have provided two sets of dimensions. Let's calculate the surface area and volume for both the cuboids:
Given that,
Dimensions: 9 ft x 4 ft x 2 ft
Surface area of cuboid 1 = 2(lw + lh + wh)
= 2(94 + 92 + 4*2) sq.ft
= 2(36 + 18 + 8) sq.ft
= 2(62) sq.ft
= 124 sq.ft
Volume of cuboid 1 = l * w * h
= 9 * 4 * 2 cubic ft
= 72 cubic ft
Cuboid 2:
Dimensions: 3 ft x 1 ft x 2 ft
Surface area of cuboid 2 = 2(lw + lh + wh)
= 2(31 + 32 + 1*2) sq.ft
= 2(3 + 6 + 2) sq.ft
= 2(11) sq.ft
= 22 sq.ft
Volume of cuboid 2 = l * w * h
= 3 * 1 * 2 cubic ft
= 6 cubic ft
Therefore, the surface area and volume of the two cuboids are as follows: Surface area = 124 sq.ft, Volume = 72 cubic ft
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Last week a gumball machine dispensed 10 pink gumballs and 82 other gumballs. what is the experimental probability that the next gumball dispensed will be pink?
does anyone know this
Answers
The experimental probability that the next gumball dispensed will be pink is 5/46.
Experimental probabilities are probabilities determined from a series of experiments. Randomized experiments are performed and repeated several times to determine their probabilities, each repetition is called a trial. Experiments are performed to determine the probability of an event occurring or not occurring. It can be tossing a coin, rolling a dice or spinning a spinner.
The formula to calculate the probability of an experiment is:
P(E) = number of times the event occurs/total number of times the experiment runs
According to the Question:
Here the given is 10 pink gumballs and 82 other gumballs .
Then total outcome = 10+82 = 92
By using probability formula ,
Probability = No of favorable outcome / Total no. of outcome
Now,
Probability of getting next gumball will be pink is then,
Or, P( pink) = 10/92 = 5/46
Hence the probability of getting pink as a next gumball is 5/46.
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What is the mass of one
box of nails?
Answers
Answer:
nails weight 50 lbs by knowing the weight u can find the mss
Find the percent increase in the price per pound of bread from 1940 to 1970, from 1970 to 1990, and from 1940 to 1990.
Answers
From 1940 to 1970 the price of bread increased by 250%.
From 1970 to 1990 the price of bread increased by 300%.
From 1940 to 1990 the price of bread increased by 750%.
Find the sum of (8a +2b - 4 ) and ( 3b - 5)
Answers
Answer: 8a+2b-4 + 3b-5 Determine the sign:8 a + 2 b - 4 + 3 b - 5R.
Step-by-step explanation: 8 a + 5 b - 9. Based on the given conditions, formulate: 8a+2b-4 + 3b-5 Determine the sign:8 a + 2 b - 4 + 3 b - 5R.
There is a cubical reservolr water tank is Anamika's house. If the volume of the tank is 512 cubic If meter, find the height of the tank.
Answers
Answer:
To find the height of the water tank, we need to know the length of one side of the cube-shaped tank.
Let's assume that the length of one side of the tank is 'x' meters.
The volume of the cube-shaped tank is given as 512 cubic meters, so we have:
The volume of the tank = (length of one side)^3
512 = x^3
Taking the cube root on both sides, we get:
x = 8
Therefore, the length of one side of the tank is 8 meters.
Since the tank is a cube, the height of the tank is also 8 meters.
Step-by-step explanation:
Answer:
8 meter
Step-by-step explanation:
Volume of cubical tank = Area of base * height
Volume of cubical tank = a * a * a
[ all 3 sides of a cube are equal, assume the side as 'a' ]
Volume = a³
a³ = 512
a = ∛512
a = 8 meter
As all dimensions of a cubical tank are equal, height of this tank = 8 meter.
Analyze and Solve. Give the complete solution this given.
1.Cathy took 5-hour bicycle trip. She traveled 90 kilometers. What is her average rate of speed?
2.John Marvin travels from South America to north America every Saturday to visit her mother. The trip takes 2.5 hours and he usually travel at an average speed of 65. How many kilometers does John Marvin travel ?
3.Vic drives at an average speed of 80 on a journey of 320 . How long does the journey take?
EXPLANATION:
Please i need this to my learning.
Answers
Answer:
1.) 18
2.) 162.5
3.) 4 hours
Step-by-step explanation:
Rule: speed= distance/time
Rule: distance= time x speed
Rule: time= distance/speed
1). 90/5= 18
2). 2.5 x 65= 162.5
3). 320/80= 4
given that the vertex is (8,6) and the y intercept is -12, what is the x-coordinate of the other point that has a y value of -12?
Answers
x-coordinate of the other point on the line that has a y value of -12 is 0
Define slopeThe slope of a line in mathematics serves as a gauge for how steep it is. It is described as the proportion of the y-coordinate change to the x-coordinate change between any two locations on a line. A line's slope can be either positive, negative, zero, or undefinable.
Given
vertex=(8,6)
intercept=-12
To find: x-coordinate of the other point that has a y value of -12
Equation of line
y=mx+c
Putting the values, we get
6=8m-12
m=18/8
m=9/4
Now, finding the x coordinate
y=mx+c
-12=9/4x-12
x=0
Hence, x-coordinate of the other point that has a y value of -12 is 0.
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I need help with this problem, I don't know how to solve it!!!
Answers
The given figure appears to be a parallelogram.
A parallelogram is a quadrilateral with two pairs of parallel sides. In the given figure, we can see that opposite sides are parallel, so it is a parallelogram.
We can also find that the measure of angle A is 120 degrees because the adjacent angles to angle A are 30 and 30 degrees, and the sum of adjacent angles in a parallelogram is 180 degrees. Similarly, the measure of angle C is 60 degrees.
The formula to find the area of a parallelogram is:
Area = base x height
We can choose any base and its corresponding height to find the area of the parallelogram. In the given figure, we can choose AB as the base and the perpendicular distance from AB to line DC as the height. Let's call this distance h.
From the figure, we can see that triangle ADE is a 30-60-90 triangle. The ratio of the sides in a 30-60-90 triangle is 1:sqrt(3):2. So, if AD is x, then DE is x*sqrt(3) and AE is 2x.
Since AE is parallel to DC, we can say that the height h is the same for triangles ADE and CFB. So, we can use triangle CFB to find the value of h.
Triangle CFB is a right triangle with angles 30, 60, and 90 degrees. The length of CB is 4 units and the length of CF is 2 units. So, the length of FB is 2*sqrt(3) units (using the ratio 1:sqrt(3):2). Therefore, the area of triangle CFB is:
Area = (1/2) x base x height
Area = (1/2) x 4 x 2
Area = 4
Since the area of triangle CFB is equal to the area of triangle ADE, we can say that:
Area of parallelogram ABCD = 2 x area of triangle CFB
Area of parallelogram ABCD = 2 x 4
Area of parallelogram ABCD = 8 square units
So, the area of the parallelogram is 8 square units.
The grams of fiber from 1,000 different breakfast cereals sold in the United States were collected.
Which graphical representation would be most appropriate for the data, and why?
Bar chart, because the data is categorical
Histogram, because there is a large set of data
Stem-and-leaf plot, because you can see the shape of the data
Line plot, because you can see the mode of the data
Answers
The most appropriate graphical representation for the grams of fiber from 1,000 different breakfast cereals sold in the United States is given as follows:
Histogram, because there is a large set of data.
What is the histogram of a data-set?A histogram is a graphical representation of the distribution of numerical data. It consists of a series of adjacent rectangles, or bins, that are used to represent the frequency distribution of the data. The height of each bin corresponds to the number of data points that fall within a particular range or interval.
For this problem, we have that each bin will represent the number of observations in an interval of grams of fiber.
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What is the area of triangle ABC? A= 1/2bh
1. 124.71
2. 31.18
3. 10.39
4. 62.35
Answers
The area of the triangle is 62.35 square units. Option D
How to determine the areaFirst, using the cosine identity, we have;
cos θ = adjacent/hypotenuse
cos 60 = x/12
find the value
x = 6
Using the sine identity,
sin 60 = x/12
x = 10. 49
Sum of the base = Line AD + Line DB = 6 + 6 = 12
Using the formula for area of a triangle;
Area = 1/2 base × height
Area = 1/2 × 12 × 10. 39
Multiply the values, we get;
Area = 62. 35 square units
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One interior angle of an irregular polygon is 105 and the rest are 125 each , determine the number of sides
Answers
The irregular pοlygοn has 6 sides.
What is irregular pοlygοn?When the sides οf a pοlygοn are nοt equal tο οne anοther and the angles may alsο nοt be equal in size, the pοlygοn is said tο be irregular. Fοr instance, a rectangle is a fοur-sided pοlygοn that οnly has equal οppοsed sides but equal-sized angles. It is therefοre an irregular pοlygοn.
Here the formula for n-sided polygon is
=> (n-2) *180
In the given irregular polygon on interior angle is 105 and rest is 125. Then,
=> (n-2)*180 = 105 + 125(n-1)
=> 180n- 360 = 105+ 125n -125
=> 180n -125n = 360-20
=> 55n = 340
=> n = 340/55
=> n = 6
Hence the irregular polygon has 6 sides.
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Express your answer to 2 decimal places with the unit
Answers
Answer: 315.00 cm^3
Step-by-step explanation:
STEP 1: Plug the given numerical information into the equation for Volume (V = (l) (w) (h)); V = (9) (7) (5)
STEP 2: Determine the answer to above step [315]
Therefore, the answer to the question is 315 cm^3.
NOTE: Don't forget to add the Unit of Measurement to the answer. Answers to Volume related questions also get "cubed" (in this case at least).
***THE ANSWER IS 315 IN SIMPLEST FORM, HOWEVER, ROUNDED TO 2 DECIMAL PLACES IT IS 315.00.***
Calculate the total area of the figure. Round your answer to the nearest whole number.
Answers
Answer:
77in^2
Step-by-step explanation:
L=15
W=5
The total is 75 but nearest is 77
using diagonals from a common vertex, how many triangles could be formed from a 22-gon?
Answers
Answer: There would 20-gon
Dnd each indicated measure for for circle O. Please help
Answers
The measure of the angles and arc length for the circle are:
a: m∠BAD = 40°; b. arc CE = 48°; c. m∠BCD = 40°; d. m∠ADC = 42°; e. m∠ABE = 66°.
Explain about the angle arc theorem?Hence, the distinction between chord length versus arc length is that the former provides the distance between two places, whilst the latter provides the entire area covered across two points.
The chord's length is equal to twice the angle's radius multiplied by its sine.
The arrow theorem and central angle theorem are other names for the inscribed angle arc theorem. The measuring of the central angle equals equal to twice the value of the inscribed angle occupied by the same arc, according to this theorem.
arc BD = 80°
arc AC = 84°
∠CBE = 24°
Thus,
a: m∠BAD
m∠BAD = 1/2(arc BD)
m∠BAD = 1/2(80°)
m∠BAD = 40°
b: arc CE
m∠CBE = 1/2(arc CE)
24° = 1/2(arc CE)
24°*2 = arc CE
arc CE = 48°
c: m∠BCD
m∠BCD = 1/2(arc BD)
m∠BCD = 1/2(80°)
m∠BCD = 40°
d: m∠ADC
m∠ADC = 1/2(arc AC)
m∠ADC = 1/2*84°
m∠ADC = 42°
e: m∠ABE
m∠ABE = 1/2(arc AC + arc CE)
m∠ABE = 1/2(84° + 48°)
m∠ABE = 1/2(132°)
m∠ABE = 66°
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Martha spent 1/6 of her pocket money on magazines. She then spent 4/5 of what is left on a present. After that she had only £3 left. How much pocket money did she have at the start? Give answer in pounds (£)
Answers
Answer:
£90
Step-by-step explanation:
1/5 =3
5/5=15
1/6=15
6/6=90
Steve is turning half of his backyard into a chicken pen. His backyard is a 24 meter by 45 meter rectangle. He wants to put a wire fence that stretches diagonally from one corner to the opposite corner. How many meters of fencing will Steve need ?
Answers
To find the length of the diagonal fence that stretches from one corner to the opposite corner of a rectangle, we can use the Pythagorean theorem, which states that the square of the length of the diagonal (hypotenuse) is equal to the sum of the squares of the lengths of the two other sides (legs) of the rectangle.
In this case, the rectangle has dimensions 24 meters by 45 meters. Therefore, the length of the diagonal fence is:
Diagonal fence = √(24^2 + 45^2) meters
Simplifying the equation, we get:
Diagonal fence = √(576 + 2025) meters
Diagonal fence = √2601 meters
Diagonal fence = 51 meters
So Steve will need 51 meters of fencing to stretch diagonally from one corner to the opposite corner of his backyard.
PLEASE HELP DUE TONIGHT
Answers
Answer:
$1.46
Step-by-step explanation:
a bottle of pineapple juice at store A is [tex]\frac{2.40}{5}=0.48[/tex]
a bottle of pineapple juice at store B is [tex]\frac{29.10}{15}=1.94[/tex]
the difference:
$1.94 - $0.48 = $1.46
Evaluate the logarithm.
[tex]log_7 49[/tex]
Answers
The logarithm base 7 of 49 i.e. [tex]log_749[/tex] is 2.
What is the natural logarithm?
The natural logarithm, denoted by ln(x), is a mathematical function that gives the logarithm of a number x with respect to the base e, where e is the mathematical constant approximately equal to 2.71828.
The logarithm base 7 of 49 can be evaluated by asking the question: "To what power must 7 be raised to obtain 49?"
We can see that 7 raised to the power of 2 equals 49, so:
[tex]log_749 = 2[/tex]
Therefore, the logarithm base 7 of 49 is 2.
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HEELLPPPP I WILL GIVE YOU A BRAINILIST, find the Regression Equation and the final answer
Answers
The regression line equation is given as y = -0.95X + 8.99
The chill factor when the wind is 27 miles per hour is -16.66
How to solve for regression line
Using a regression calculator, the regression line calculation is given as
Calculation Summary
Sum of X = 45
Sum of Y = 20
Mean X = 6.4286
Mean Y = 2.8571
Sum of squares (SSX) = 113.7143
Sum of products (SP) = -108.5714
Regression Equation = ŷ = bX + a
b = SP/SSX = -108.57/113.71 = -0.95477
a = MY - bMX = 2.86 - (-0.95*6.43) = 8.99497
y = -0.95477X + 8.99497
y = -0.95X + 8.99
b. The chill factor when the wind is 27 miles per hour
We would solve for this using the regression line output above
y = -0.95X + 8.99
here x = 27
y = -0.95 * 27 + 8.99
y = -25.65 + 8.99
= -16.66
Final answer y = -16.66
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Every student at a music college learns the flute, the violin, or both the flute and the violin. of the students who learn the flute also learn the violin. 3 times as many students learn the violin as learn the flute. x students learn both the flute and the violin. Find an expression, in terms of x, for the total number of students at the college. Flute X Violin
Answers
The total number of students in the college is expressed as: 5x
How to solve Algebra Word Problems?The parameters given are:
1/2 of the students who learn the flute also learn the violin.
3 times as many students learn the violin as learn the flute.
x students learn both the flute and the violin
Thus, the total who learn the flute = 2x
Number who learn only flute = x
Since 3 times as many students learn the violin as learn the flute. Then, 3x students only learn the violin.
Thus, total number of students at the college is:
x + x + 3x = 5x
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Complete question is:
Every student at a music college learns the flute, the violin, or both the flute and the violin. 1/2 of the students who learn the flute also learn the violin. 3 times as many students learn the violin as learn the flute. x students learn both the flute and the violin. Find an expression, in terms of x, for the total number of students at the college. Flute X Violin
if you make $1500 in Gross Income every month, but 25% is taken out in taxes, what will your monthly Net Income paycheck be?
$1125
$1115
$1300
Answers
The monthly Net income paycheck is $1125
What is Gross income?Gross income is the sum of all wages, salaries, profits, interest payments, rents, and other forms of earnings, before any deductions or taxes. The gross income is the addition of the taxes and the net income.
The gross income = net income + tax
The tax is 25% of the gross income
= 25/100 × 1500
= $375
The net income = 1500-375
= $1125
Therefore the monthly net income paycheck is $1125
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Which expression is equivalent to look at picture
Answers
Answer:
B
Step-by-step explanation:
A negative exponent in the numerator is a positive exponent in the denominator.
(4/3)^-3 in the numerator is (4/3)^3 in the denominator.
A zero exponent makes the expression equal 1.
((3/4)^5)^0 = (3/4)^0 = 1
A power raised to a power is the product of the powers.
((3/4)^3)^4 = (3/4)^12
Put everything together, and you get B.
when gathering data, using two or more methods to confirm results is called: group of answer choices polyangulation biangulation triangulation duo-measure method
Answers
When gathering data, using two or more methods to confirm results is called option (c) triangulation
Triangulation involves using multiple methods or sources to collect data in order to validate or confirm results. By using different methods, researchers can obtain a more complete and accurate understanding of the phenomenon being studied, reducing the risk of bias or error. For example, a researcher might use both surveys and interviews to gather information about a particular group of people.
This approach can help to ensure that the data collected is reliable and can be used with confidence to draw conclusions. Triangulation is widely used in social science research, but can also be applied in other fields where multiple sources of information are available.
Therefore, the correct option is (c) triangulation
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point j (-8 -12) is reflected over the x-axis. where is j'
Answers
Answer:
When a point is reflected over the x-axis, its y-coordinate is multiplied by -1, while its x-coordinate remains the same.
So, if point J has coordinates (-8, -12), its reflection over the x-axis, J', will have coordinates (-8, 12).
Therefore, J' is located at the point (-8, 12).
at the beginning of a population study, a city had 380,000 people. each year since, the population has grown by 2.4%. let t be the number of years since start of the study. let y be the city's population. write an exponential function showing the relationship between y and t.
Answers
An exponential function showing the relationship between y and t is y = [tex]1.024^t[/tex] x 380,000
Now let's consider the population after t years. We can use the formula we just derived to write:
y = [tex]1.024^t[/tex] x 380,000
This equation represents an exponential function where the initial population is 380,000 and the growth rate is 2.4%. The base of the exponential function is 1.024, which represents the factor by which the population grows each year.
This function relates the city's population to the number of years since the start of the study and can be written as:
y = [tex]1.024^t[/tex] x 380,000
This function can be used to make predictions about the city's population at any point in the future, given the number of years since the start of the study.
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Picture is there only answer number 7.
Answers
Surface area = ft^2
Volume = cm^3
Perimeter = in.
Explanation
Area is L x W so it is squared or
power of ^2
Volume is L x W x H so it is cubic or
power of ^3
Perimeter is 2L + 2W so it is inches,
no exponent
8. three students scheduled interviews for summer employment at the brookwood institute. in each case the interview results in either an offer for a position or no offer. experimental outcomes are defined in terms of the results of the three interviews. let x equal the number of students who receive an offer. is x continuous or discrete?
Answers
The variable x, which represents the number of students who receive an offer, is a discrete variable.
What are discrete and continuous variables?The variable can take on one or more exact values, a countable number of values, or values that are finite, such as the number of students in a class, the number of cars in a parking lot, the number of seeds in a bag, and so on, if the variable is a discrete variable. A variable is referred to as continuous if it can take on an infinite number of values (although the values may be restricted to a certain range), and those values are not limited to specific points on a continuum.
What are the outcomes of the experimental?For three students who are undergoing interviews at Brookwood Institute, the experimental results are defined in terms of the outcomes of the three interviews. Each interview would yield one of two possible results: either an offer for a job or no offer.
As a result, for each of the three interviews, there are two possible outcomes. If we multiply the possibilities for each of the three interviews, we get a total of eight possible outcomes, which can be listed as follows:
NNN, NNO, NON, NOO, ONN, ONO, OON, and OOO.
Let's assume that an 'O' represents an offer, while an 'N' represents no offer. The variable x represents the number of students who receive an offer. Since the variable can only take on one of four discrete values (0, 1, 2, or 3), it is a discrete variable.
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