The coordinates of the points after the translation are:
Q' = (5, 4)R' = (6, 1)What are the coordinates of Q' and R'?All the points are translated on the same way, so let's analyze the translation of P to P'.
The coordinates of Pare (5, 8), and P' is at (3, 4)
Then the translation is:
(3, 4) - (5, 8) = (3 - 5, 4 - 8) = (-2, -4)
So we just need to subtract 2 to the x-value and 4 to the y-value.
The coordinates of Q and R are:
Q = (7, 8)
R = (8, 5)
Then the translated points are:
Q' = (7 - 2,8 - 4) = (5, 4)
R' = (8 - 2, 5 - 4) = (6, 1)
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If Elaine has 4 exemptions and makes $520 per week, what will her income tax withholding be according to the following table?
Single Taxpayer, Weekly Withholding
if earnings are at least equal to Column A and less than Column B and the number of claimed exemptions are as numbered
Column A Column B 0 1 2 3 4 5
$0 $50 0 0 0 0 0 0
$50 $75 1 0 0 0 0 0
$75 $100 1 1 0 0 0 0
$100 $150 2 1 0 0 0 0
$150 $200 3 2 1 1 0 0
$200 $250 4 2 1 1 1 0
$250 $300 5 3 2 2 1 0
$300 $400 7 3 2 2 2 1
$400 $500 10 4 3 2 2 1
$500 $600 15 5 3 3 2 1
$600 $750 21 6 4 3 3 2
$750 30 7 5 4 4 3
A. $1. 00
B. $2. 00
C. $3. 00
D. $5. 0
Answer: B $2:00
I Just took it
Sandra drops a brick into a beaker filled with water. Volume increases by 2 liters. Then she uses the density to make a prediction about its weight in kilograms. If the density of the brick is approximately 2 grams per millimeters, what should the prediction be?
The weight of the brick that Sandra dropped is 40 N.
What is the density?We must know that we can be able to define the density as the ratio of the mass to the volume of the object. We know that the density can be regarded as an intrinsic property of the substance.
We can see that;
Density = mass/volume
mass = Density * volume
Volume = 2 L or 2000 mL
Density = 2 grams per millimeters
Mass = 2 * 2000
Mass = 4000 g or 4 Kg
Weight = mass * acceleration due to gravity
Weight = 4 Kg * 10 m/s^2
Weight = 40 N
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A ball with radius r, lying inside a glass described by the function y = x^2, has its center at (0, F(r)) units above the bottom of the glass. (F(r) is a function of r) Compute f(2) - f(1/4)?
Pick one of the choices
-2
0
2
4
d). A ball with radius r, lying inside a glass described by the function y = x^2, has its center at (0, F(r)) units above the bottom of the glass. f(2) - f(1/4)=4.
To solve this problem, we first need to find the function F(r). We can do this by finding the y-coordinate of the center of the ball when its radius is r.
Since the ball lies inside the glass described by the function y = x2, the y-coordinate of the center of the ball when its radius is r is equal to the y-coordinate of the point (r,r2).
Thus, the function F(r) is given by F(r) = r2. Now, we can calculate f(2) - f(1/4) = F(2) - F(1/4) = 22 - (1/4)2 = 4 - 1/16 = 4 - 0.0625 = 3.9375 ≈ 2. Therefore, f(2) - f(1/4) = 2.
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Circle D is shown. Line segment C D is a radius with length 18 centimeters. Which statements are true regarding the area of circle D? Select two options. The area of the circle depends on the square of the radius.
The statements that are true regarding the area of circle D include the following:
A. The area of the circle depends on the square of the radius.
C. The area of circle D is 324π centimeters squared.
How to calculate the area of a circle?Mathematically, the area of a circle can be calculated by using this formula:
Area = πr²
Where:
r represents the radius of a circle.
In this context, we can reasonably infer and logically deduce that the area of any circle is directly proportional to the square of its radius.
Substituting the given radius into the formula for the area of a circle, we have the following;
Area of circle = π × 18²
Area of circle = 324π centimeters squared.
Based on the calculations, we can reasonably infer and logically conclude that the area of circle D in terms of pie (π) is equal to 324π centimeters squared.
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Which statements are true regarding the area of circle D? Select two options.
The area of the circle depends on the square of the radius.
The area of circle D is 36π centimeters squared.
The area of circle D is 324π centimeters squared
The area of the circle depends on the square of π.
The area of the circle depends on the central angle.
Match each fraction to a reasonable estimate
7.3 revised quiz part 1
Given DF bisects
On solving the provided question, we can say that angle are given a 9n - 3 + 8n +9 = 60; angle 1 = 24 and angle 2 = 33
what are angles?In Euclidean geometry, an angle is a shape made up of two rays, referred to as the angle's sides, that meet at a point in the middle known as the angle's vertex. Two rays can generate an angle that is in the plane where the rays are located. The meeting of two planes also creates an angle. They are referred to as dihedral angles. An angle is the shape created by two rays or lines that have a shared termination in plane geometry. The Latin word "angulus," which meaning "horn," is the source of the English term "angle." The vertex is the common terminal of the two rays, which are referred to as the sides of the angle.
here,
angle are given as
9n - 3 + 8n +9 = 60
17n = 60-6
17n = 54
n = 3.1764705882 = 3
n = 3
angle 1 = 24
angle 2 = 33
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what is 1/2 x 1/3 i could never get this answer its to hard!!!
Answer: there
Step-by-step explanation:
0.16666666666
Latoya' Coffee Shop make a blend that i a mixture of coffee type A and B. In one bag of the blend, there are 6 kilogram of type A. Four bag of the blend are a total of 36 kilogram. How many kilogram of type B are there in one bag?
The Kilograms of type B that are in one bag of the Latoya's Coffee shop blend would be = 3kg
What is a mixture?
A mixture is defined as the combination of two or more components which can or cannot be separated by ordinary methods.
The coffee blend of LaToya shop = Type A and B
A bag of the coffee blend = 6kg of Type A.
4 bags of coffee blend = 36kg
Therefore 4 bags of coffee blend contains = 6 see×4 = 24 kg of Type A
Type B in each bag = 36 - 24 = 12/4 = 3kg.
We are tasked with finding the amount in kilograms of type B coffee present in a bag of coffee.
We already know that in a bag , there are 4kg of type A coffee. Hence, in 6 bags, what we will be having would be 6 * 4kg = 24kg of type A coffee
The total kilograms of coffee in 6 bags of coffee is 48kg. Now we know we have 24kg of type A, the amount of type B coffee present is thus 48kg -24kg = 24kg
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(01.02 MC)
The table gives a partial set of values of a polynomial h(x), which has a leading coefficient of 1.
If every x-intercept of h(x) is shown in the table and has a multiplicity of one, what is the equation of the polynomial function?
The function is given by: h(x) = -2(x³ - 2x² - 5x + 6).
What is meant by Factor Theorem?The factor theorem in algebra connects a polynomial's components and zeros. The polynomial remainder theorem has this particular special instance. A polynomial f(x) has a factor if and only if f=0, according to the factor theorem.
The Factor Theorem states that a polynomial function with roots [tex]$x_1, x_2, x_n$[/tex] is given by:
[tex]$$f(x)=a\left(x-x_1\right)\left(x-x_2\right) \cdots\left(x-x_n\right)$$[/tex]
In which a is the leading coefficient.
Looking at the table, considering the values of x when h(x)=0, the roots of h(x) are given as follows:
[tex]$$x_1=-2, x_2=1, x_3=3$$[/tex]
Then the rule is:
h(x) = a(x + 2)(x - 1)(x - 3)
h(x) = a(x² + x - 2)(x - 3)
h(x) = a(x³ - 2x² - 5x + 6)
The h-intercept is of -12, as when x = 0, h = -12, hence this is used to find a as follows:
6a = -12
simplifying the above equation, we get
a = -12/6
a = -2.
Therefore, the function is given by: h(x) = -2(x³ - 2x² - 5x + 6).
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please help me!! i need it asap
What is the midpoint method formula?
Answer:
See below
Step-by-step explanation:
Given a line segment consisting of endpoints [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], the midpoint of the line segment is [tex]\displaystyle \biggr(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\biggr)[/tex].
PLEASE HELP
A boutique in Hampton specializes in leather goods for men. Last month, the company sold 36 wallets and 11 belts, for a total of $3,295. This month, they sold 91 wallets and 10 belts, for a total of $7,599. How much does the boutique charge for each item?
Wallets: $__
Belts: $__
The amount charged by the boutique for each item is given as follows:
Wallet: $79.Belt: $41.How to obtain the price of each item?The price of each item is obtained considering a system of equations, for which the variables are given as follows:
Variable x: cost of a wallet.Variable y: cost of a belt.From the description, the equations are given as follows:
36x + 11y = 3295.91x + 10y = 7599.Simplifying the first equation by 11, we have that:
3.272727x + y = 299.5454
y = 299.5454 - 3.272727x
Replacing on the second equation, the cost of a wallet is given as follows:
91x + 10(299.5454 - 3.272727x) = 7599
58.2728x = 4603.5455
x = 4603.5455/58.2728
x = 79.
Then the cost of a belt is obtained as follows:
y = 299.5454 - 3.272727(79)
y = $41.
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Mark loads a crate that weighs 22.5 pounds and 12 boxes that each weigh 11.25 pounds onto a truck . what is the total weight of the crate and the boxes
Answer:
157.5 pounds
Step-by-step explanation:
11.25×12=135 then add 135 to 22.5
find the perimeter of equiveal triangle whose each side is 7cm
Answer: 21 cm
Step-by-step explanation: The formula for the perimeter of an equilateral is 3 x side.
Here is the formula:
P= 3 x side
P= 3 x 7
P= 21 cm
What is the simplified form of the following expression? rootindex 3 startroot startfraction 4 x over 5 endfraction endroot.
The simplified expression of the ∛4x / 5 is ∛4x / ∛5
Index laws are the rules for simplifying expressions involving powers of the same base number, these laws are also called Laws of indices.
Laws of indices provide us with rules for simplifying calculations or expressions involving powers of the same base. The indices are also known as powers or exponents.
It is represented in the form:
am = a × a × a ×……× a (m times)
we have the law of indices formula:
[tex]\sqrt[a]{b}=b^\frac{1}{a}[/tex]
∛4x / 5 = (4x/5)^1/3
Therefore,
∛4x / 5 = ∛4x / ∛5
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Antonio buys five new college textbooks during his first year at school at a cost of $80 each. Used books cost only $50 each. When the bookstore announces that there will be a 50 percent increase in the price of new books and a 20 percent increase in the price of used books, Antonio's father offers him $200 extra. What happens to Antonio's budget line? 1.) Using the line drawing tool, graph Antonio's original budget line. Label this line Upper L 1 .2.) Using the line drawing tool, then graph Antonio's new budget line. Label this line Upper L 2 . Carefully follow the instructions above, and only draw the required objects.
Antonio's budget line has shifted upwards due to a 50 percent increase in the price of new books and a 20 percent increase in the price of used books. His new budget line equation is y = 110x.
Upper L1: y = 80x
Upper L2: y = 110x
Antonio's original budget line (Upper L1) is represented by the equation y = 80x. This equation means that for every x amount of textbook Antonio buys, he will spend 80y in total.
Antonio's new budget line (Upper L2) is represented by the equation y = 110x. This equation means that for every x amount of textbook Antonio buys, he will spend 110y in total.
As a result, Antonio's budget line has shifted upwards due to the increase in both the price of new and used books. Antonio's budget line has shifted upwards due to a 50 percent increase in the price of new books and a 20 percent increase in the price of used books. His new budget line equation is y = 110x.
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Alliosn walks 1/2 mile each 1/5 hour. She continues to walk at the same pace. If allsion walked 1 1/4 miles, hiw long did she walk take
27.5 hrs are long did she walk take to cover distance .
In math, what is a distance?
The length of the segment of the line that connects the supplied two points determines the distance between them.
The shortest segment of a line connecting a point to a line will have a length equal to the distance between them.
Distance covered by Alliosn = 1/2 km
Time taken by Alliosn = 1/5hr
Hence,
speed of peter = Distance/time
= (1/2)/(1/5) km/hr
= 1/10 km/hr
Distance travelled by Alliosn = 1 1/4 km
= 11/4km
Speed = distance/time
1/10 = (11/4) / time
i.e.
Time = 11 * 10/4
= 27.5 hrs
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Simple geometry can compute the height of an object from the object's shadow length and shadow angle using the formula: tan(angleelevation) = treeheight / shadowlength. Given the shadow length and angle of elevation, compute the tree height. Sample output with inputs: 0. 4 17. 5 tree height: 7. 398881327917831.
angle of elevation = 17.5 degrees
shadow length = 4
Computing Tree Height FormulaTo compute the tree height using the given formula, you would need to use the inverse tangent function (arctan) to find the angle of elevation in radians, and then multiply that value by the shadow length.
In this example:
angle of elevation = 17.5 degrees
shadow length = 4
tree height = tan⁻¹ (17.5) × 4
From this, the final output will be 7.398881327917831.
The formula states that the ratio of the tree's height to the shadow's length is equal to the tangent of the angle of elevation. So, by measuring the shadow length and the angle of elevation, we can use the tangent function to calculate the tree's height.
The inverse tangent function (arctan) is used to find the angle of elevation in radians, and then the result is multiplied by the shadow length to get the tree height.
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How do you find the center of a transformation?
The center of a transformation refers to the fixed point through which the transformation takes place.
The center of a transformation can be found by the following methods:
Translation: The center of a translation is the point that remains fixed during the transformation.
Rotation: The center of rotation is the point around which the object rotates.
Reflection: The center of reflection is the line of reflection or the point of symmetry.
Dilation: The center of dilation is the point that remains fixed during the transformation and all the distances from it are multiplied by a scale factor.
Combination of Translations, Rotation, Reflection, and Dilation: The center of transformation will be the point of intersection of all the fixed points of above mentioned four transformations.
It is important to note that not all transformations have a center, and some may have multiple centers.
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If f(x)=√x-10 +3, which inequality can t
x-10+3, which inequality can be used to find the domain of f(x)?
O
√√x20
0x20
Ox-1020
O
√√x-10+320
The inequality used to determine the domain of the function is greater than equal to and the domain is [10, ∞).
What is domain and range?The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. The values in this set
Hence, once we input an x value, the function returns. The y values are those.
The given expression is:
[tex]\sqrt{x- 10} + 3\\[/tex]
The value in the square root must be greater than or equal to 0 to ensure that the number is real.
[tex]\sqrt{x - 10} \geq 0[/tex]
Taking squares on both sides of the equation:
x - 10 ≥ 0
x ≥ 10
The domain of the given inequality is [10 , ∞).
Hence, the inequality used to determine the domain of the function is greater than equal to and the domain is [10, ∞).
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In the rectangle JKLM, diagonal JL= x+7, and diagonal KM=2x+7. What would be the length of JL?
JL has a length of 5.
What is a rectangle ?The internal angles of a rectangle, which has four sides, are all exactly 90 degrees.
At each corner or vertex, the two sides come together at a straight angle. The rectangle differs from a square because its two opposite sides are of equal length.
For instance, if the length of one side of a rectangle is 20 cm, the opposing side will also be 20 cm.
A quadrilateral with parallel sides that are equal to one another and four equal vertices is known as a rectangle.
It is also known as an equiangular quadrilateral for this reason.
Rectangles can also be referred to as parallelograms because their opposite sides are equal and parallel.
According to our question-
3x + 4 = 4x - 1
-3x -3x
4 = x - 1
+1 +1
5 = x
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Which ratios have a unit rate less than 1? Choose ALL that apply.
2 feet : 5/12 minutes has unit less than 1
What is unit rate?
A rate is a comparison between two separate measurement units.
18 bucks
one hour
A rate with a unit rate has 1 as the bottom number (also called a single-unit rate). Any rate can be converted into a unit rate. To accomplish this, divide both the top and bottom numbers by the bottom one. Of course, the denominator is the figure at the bottom.
18 dollars and 30 minutes = 0.6 dollars and 1 minute
Consider that a 5 ounce can of soup costs $1.25. What is the price of one ounce?
1.25 US dollars
5 ounces times 5 times 5 is 0.25 dollars.
1 ounce
Therefore, each ounce costs $0.25, or 25 cents! This is referred to as the soup unit price.
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Which expression is equivalent to the given expression?
A.
B.
C.
D.
The expression is equivalent to the given expression is 5x²+12x-7: Option C
What is simplification?You should understand that simplification means making an expression more simpler for better understanding
The given expression is
-2x²+8x-9+4x+7x²+2
The first thing to do is to rearrange the expression in the following ways by collecting the like terms
7x²-2x²+8x+4x-9+2
This implies that
5x²+12x-7
Conclusively the simplest form of the expression is 5x²+12x-7
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What is the slope-intercept form the linear equation 2x y 10?
The slope-intercept form of the given linear equation 2x + y = 10 is y = -2x + 10.
If we draw the graph of the linear equation y = mx + c. The result is a line with m as the slope, and c as the y-intercept. This form of the linear equation y = mx + c is called the slope-intercept form, and the values of m and c are real numbers.
The slope, m, of the line represents the steepness of a line. This is also termed a gradient, sometimes. The y-intercept, c, represents the y-coordinate of the point where the graph of the line intersects the y-axis.
Now, change the given equation to slope-intercept form, y = mx + c, where m is the slope and c is the y-intercept.
2x + y = 10
Subtract 2x from both sides of the above equation, we get
y = -2x + 10
This is the required slope-intercept form of the given linear equation.
-- The given question is incorrect, the correct form of equation is
"What is the slope-intercept form the linear equation 2x + y = 10?" --
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3x+9y=-6 ,-4x-12y=8 solve by substitution method
How many images are formed when two plane mirrors are placed at 120?
Three images are formed when two plane mirrors are placed at 120.
assuming an angle of x between the mirror and the object. The previous graphic makes it evident that, regardless of the value of x assumed, the angle of the fourth picture will be more than 180 degrees. A mirror's reflection of the object in question produces a mirror image. The mirror image is what an object seems to be when it is placed in front of a mirror. The reality is quite different from what appears to be the case. No, some messages contain both mirror images and real photographs.
We know that angle = 120
number of images = 360/120
number of images = 3.
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PLEASE HELP WITH ALL 3 QUESTIONS! I WILL GIVE BRAINLIST
Answer:
answer for the first is "Obtuse", answer for the second is "acute", answer for the third is a=right, b=obtuse, c=obtuse, d=acute
Step-by-step explanation:
Plot the points A(3,-2), B(-3, 8), C(-5, -1) on the coordinate axes below. State
the coordinates of point D such that A, B, C, and D would form a
parallelogram.
(Plotting point D is optional.)
The points A(3,-2), B(-3, 8), C(-5, -1) and D(2,16) would form a parallelogram.
How to plot points on graph?
In mathematics, points on a graph are typically plotted on a coordinate plane. The x-coordinate and y-coordinate of each point determine its location on the plane. To plot a point, you will need to know its coordinates (x, y).
To plot the points A(3,-2), B(-3, 8), C(-5, -1) on the coordinate axes, we can start by drawing the x-axis and y-axis, where the x-axis is the horizontal line and y-axis is the vertical line.
We can then locate point A by starting at the origin (0,0) and moving 3 units to the right on the x-axis and 2 units down on the y-axis. Point B can be located by starting at the origin and moving 3 units to the left on the x-axis and 8 units up on the y-axis. Point C can be located by starting at the origin and moving 5 units to the left on the x-axis and 1 unit down on the y-axis.
To form a parallelogram, point D must be opposite of point B and have the same distance from point C and point A. Since a translation of a vector is a linear transformation, D is the translation of vector AB to point C.
The coordinates of point D would be (2,16), which is the translation of point B by the vector (2,8) to point C.
So the points A(3,-2), B(-3, 8), C(-5, -1) and D(2,16) would form a parallelogram.
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Tell whether the ratios form a proportion.
4 : 12 and 5 : 15
The ratios _____ (do or do not) form a proportion. The cross products are _____ (state the cross product or state "not equal")
Response:
--------------------------------------
--------------------------------------
Talking about the 4:12 and 5:15 can be written in the form of 1:3
What do you mean by ratios?
Mathematical ratios show how many times one number appears in another. The ratio of oranges to lemons, for instance, is eight to six if there are eight oranges and six lemons in a fruit plate. The ratio of lemons to oranges is 6:8, while the ratio of oranges to the total amount of fruit is 8:14.
How to address a ratio issue
The total number of shares can be calculated by adding the ratio's component parts.By the total number of shares, divide the entire sum.Add the necessary amount of shares togetherTo know more about Ratios here
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Polygon ABCD with vertices at A(−4, 6), B(−2, 2), C(4, −2), D(4, 4) is dilated using a scale factor of one fourth to create polygon A′B′C′D′. Determine the vertices of polygon A′B′C′D′.
A′(−0.8, 1.2), B′(−0.4, 0.4), C′(0.8, −0.4), D′(0.8, 0.8)
A′(−1, 1.5), B′(−0.5, 0.5), C′(1, −0.5), D′(1, 1)
A′(−2, 3), B′(−1, 1), C′(2, −1), D′(2, 2)
A′(−3, 4.5), B′(−1.5, 1.5), C′(3, −1.5), D′(3, 3)
With a dilation factor of 1 / 4, Polygon ABCD with vertices at A(−4, 6), B(−2, 2), C(4, −2), D(4, 4) would be: A(-1, 1.5), B(-0.5 , 0.5), C(1, -0.5), D(1 , 1). Second option
How to dilate the vertices to scaleThe solution to the problem would be the solution that is gotten when we divide these points by 1/4. This is the dilation factor
we would have:
A(−4, 6), B(−2, 2), C(4, −2), D(4, 4)
= (-4 * 1/4, 6 * 1/4) , B(-2 * 1/4, 2 * 1/4), C(4 * 1/4, -2 * 1/4), D(4 * 1/4, 4 * 1/4)
= A(-1, 1.5), B(-0.5 , 0.5), C(1, -0.5), D(1 , 1)
Hence the second option is correct.
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Answer:A′(−1, 1.5), B′(−0.5, 0.5), C′(1, −0.5), D′(1, 1).
Step-by-step explanation:
To dilate a point using a scale factor, you multiply both the x-coordinate and the y-coordinate of the original point by the scale factor.
Given the original vertices of the polygon ABCD and a scale factor of one fourth (1/4), we can find the coordinates of the dilated vertices A', B', C', and D':
Original vertex A(-4, 6):
x-coordinate of A': -4 * 1/4 = -1
y-coordinate of A': 6 * 1/4 = 1.5
So, vertex A' is (-1, 1.5).
Original vertex B(-2, 2):
x-coordinate of B': -2 * 1/4 = -0.5
y-coordinate of B': 2 * 1/4 = 0.5
So, vertex B' is (-0.5, 0.5).
Original vertex C(4, -2):
x-coordinate of C': 4 * 1/4 = 1
y-coordinate of C': -2 * 1/4 = -0.5
So, vertex C' is (1, -0.5).
Original vertex D(4, 4):
x-coordinate of D': 4 * 1/4 = 1
y-coordinate of D': 4 * 1/4 = 1
So, vertex D' is (1, 1).
Comparing the calculated coordinates with the options given:
A′(−1, 1.5), B′(−0.5, 0.5), C′(1, −0.5), D′(1, 1)
Among the given options, the correct vertices of polygon A′B′C′D′ are A′(−1, 1.5), B′(−0.5, 0.5), C′(1, −0.5), D′(1, 1).