Parallelogram JKLM has vertices J(-1, 6), K(0, 9), L(6, −3), and M(3, −3). What is the coordinates of the image if the parallelogram is dilated with a scale factor of -1/3

Answers

Answer 1

Answer: [tex](\dfrac13,-2),\ (0,-3),\ (-2,1),\ (-1,1) .[/tex]

Step-by-step explanation:

Transformation rule for dilation:

[tex](x,y)\to(kx,ky)[/tex] , where k = scale factor

Given : Scale factor = [tex]-\dfrac13[/tex]

Parallelogram JKLM has vertices J(-1, 6), K(0, 9), L(6, −3), and M(3, −3)

Vertices after dilation:

[tex](-1,6)\to(-1\times\dfrac{-1}{3},6\times\dfrac{-1}{3})=(\dfrac13,-2)[/tex]

[tex](0,9)\times(0\times-\dfrac13,9\times-\dfrac13)=(0,-3)[/tex]

[tex](6,-3)\to(6\times-\dfrac13,\ -3\times-\dfrac13)=(-2,1)[/tex]

[tex](3,-3)\to (3\times-\dfrac13,\ -3\times-\dfrac13)=(-1,1)[/tex]

Hence, the coordinates of the image if the parallelogram = [tex](\dfrac13,-2),\ (0,-3),\ (-2,1),\ (-1,1) .[/tex]


Related Questions

Which point lies on the line that passes through the
point (9,-5) and has a slope of -6?

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Answer:

y=5

Step-by-step explanation:

I am pretty sure that is the answer but dont rely completely on me

The square root of 15 is in between what 2 whole numbers?

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3 and 4

Square root of 15 is 3.872

The square root of 15 is between 3 and 4.

What is a number line?

A number line in elementary mathematics is a representation of a graduated straight line that serves as an abstraction for real numbers, represented by the symbol R."

It is assumed that every point on a number line corresponds to a real number and that every real number corresponds to a point.

Given that the square root is 15. The value of the square root of 15 is calculated as,

The square root of 15 is 3.872.

Therefore, the square root of 15 is between 3 and 4.

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Veronica takes of an hour to write of a page of calligraphy.
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Answers

Using proportions, it is found that it will take Veronica 4/3 of an hour to write one page of calligraphy.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, it is found that she takes 1/3 of an hour to write 1/4 of a page of calligraphy. How long it takes her to write a page?

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1/3 hour - 1/4 page

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Applying cross multiplication:

[tex]\frac{x}{4} = \frac{1}{3}[/tex]

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It will take Veronica 4/3 of an hour to write one page of calligraphy.

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bruh someone helpp ffs

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Reflected over the X-axis is a single transformation that got A to B

Answer:

Step-by-step explanation:

B ruh????????

Determine the range from the set of ordered pairs

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Answer:

2nd option

Step-by-step explanation:

range is all the outputs

Write 3x --1 + 5x + 7 in simplest form.

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Answer:

8x+6

Step-by-step explanation:

Can someone help me with this? I’m genuinely confused it’s been three hours and no one helped me :(

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Answer:

wddfgfgjgfccvnjjxcvbfx bff

Answer:

as attached image shows

Step-by-step explanation:

if length of the square is 7-x and width is 19-3x then what is the value of x

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7-x=19-3x
7-x-19=-3x
-x-12=-3x
-12+x=-3x+x
-12=-2x
6=x

Convert 75 seconds to hours

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It is 0.02083333 hours.

WHAT DIS IZ MANE!!!!

Answers

Answer:

use symbolab ion feel like doin it but itll

get u the correct answer

my teacher told me to answer this it got complicated for me

Answers

Answer:

SOLUTION FOR A:

YOU NEED TO MULTIPLY THE VARIABLE FROM THE DENOMINATOR

SOLUTION FOR B:

MULTIPLY TO REMOVE THE VARIABLE FROM THE  DENOMINATOR

THE ANSWERS FOR SOLVING FOR B AND A ARE IN THE SCREENSHOTS

yk i just rlly wanted to type in caps-

Hadley earned 8 more points on her test than Adam earned. Their points add up to 162. How many points did each student earn ?

Answers

Answer:

Adam - 77 / Holly - 85

Step-by-step explanation:

x + (x + 8) = 162

2x + 8 = 162

2x = 154

x = 77

x = Adam

x + 8 = Holly

Therefore, Adam - 77 / Holly - 85.

Name the property that the statement illustrates.
If ZABC - ZDEF and ZDEF ZGHI, then ZABC - ZGHI.

Answers

Answer:

Transitive property

Step-by-step explanation:

It statea that if a=b and b=c, then a=c.

1.(03.01 LC)
Which of the following sets represents the range of the function shown? (5 points)
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{-3, 5, 9, 10}
O {-1, 4, 11, 13}
{(4, -3), (11, 5), (-1, 9), (13, 10)}
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Answers

Answer:

-1, 4, 11, 13

Step-by-step explanation:

the range of the function is the y values in this scenario, which are the second numbers of the original points given

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O f(x) = 3r+1
O f(x) = 3x - 1
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Answer:

y = 3x - 1

Step-by-step explanation: All you have to do here is solve the equation for y. When you add 5 to both sides, you are left with 3(x-2) + 5. Now, you just have to open the parentheses, giving you 3x-6+5, or 3x-1.

Your student class council needs $600 for the Winter Dance. With only $210 in their treasury, the council decided to raise the rest by selling donut coupons for a profit of $1.50 per dozen. Write and solve an equation to find how many donut coupons they will need to sell

Answers

Answer:

$390

Step-by-step explanation:

Need: 600        

Have: 210         600-210=390          

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Prove: w = -4
Statements
Reasons
11.17-3(3+5)=6(W+5)-2W
2.17-30-15= 60 +30 -2W
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Answers

Answer:

Step-by-step explanation:

              Statements                                     Reasons

1). 17 - 3(w + 5) = 6(w + 5) - 2w            1). Given

2). 17 - 3w - 15 = 6w + 30 - 2w            2). Distributive property

3). -3w + 2 = 4w + 30                           3). Addition property of equality

4). -7w + 2 = 30                                    4). Subtraction property of equality

5). -7w = 28                                          5). Subtraction property of equality

6). w = -4                                              6). Division property of equality

What is the final price of a $125 jacket that is on sale for 35% off?

Answers

Answer:

$81.25

Step-by-step explanation:

first change the percent into a decimal by moving the point 2 spaces to the left. then multiply that decimal by the asnwer to see how muhc money she's getting off. Finally subtract the total by that number.

What’s mean by report this answer

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Answer:

Like make it bad.Its offensive

Step-by-step explanation:

A baseball stadium holds 15,002 seats. The lower level has 50 fewer than three times as many seats as the upper level. The middle level has 40 more than twice as many seats as the upper level.

x + (2x + 40) + (3x – 50) = 15,002

The upper level has how many seats

Answers

The Answer is X = 2,502

Answer:

The equation x + (2 x + 40)  + (3 x - 50)   =  15,002 represents this scenario suitable.

Step-by-step explanation:

Hope it helps :)

I know I'm answering all your questions it's just bc I'm bored

Eve Marie used the table to describe a list of numbers. How should she fix the table?
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Rational
Integers
Whole
Counting
0.258
х
0
X
x
X
х
-45
X
X
4
15
Х
F 0.258 is also an integer, and should have an X placed in that column as well.
GO is not a counting number, and should not have an X in counting number column.
H-45 is also a counting number and should also have an X in the counting number
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3 The table is correct, theſe is no need to change it.

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Answer:

your answer would be g

Step-by-step explanation:

In July, the average temperature in one US city was 29 degrees by December, the average temperature had fallen by 29 degrees. Explain why the average temperature in December was 0 degrees.

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Step-by-step explanation:

In July, it was positive 29 degrees, but in December it was negative 29 degrees. When you have 29-29 you get 0. Hope that helped

Answer:

Sample Response: The temperature went up 29°C, which represents a positive 29. Then the temperature fell 29°C, which represents a negative 29. The average temperature rose and fell the same amount. The absolute values are the same, so the difference is 0.

Step-by-step explanation:

The formula t=√h/4 represents the time t in seconds that it takes an object to fall from a height of h feet. If a rock falls from a height of 125 feet, estimate how long it will take to reach the ground

Answers

Answer:

it would take 14mph

Step-by-step explanation:

A function assigns the values. The time it will take for the rock to reach the ground from a height of 125 feet is 2.795 seconds.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

Given that the formula t=√h/4 represents the time t in seconds that it takes an object to fall from a height of h feet.

Now, in order to calculate the time, it will take for the rock to fall from the height of 125 feet, simply substitute the height of the rock from which it is dropped in the formula given.

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t = √h / 4

t = (√125) / 4

t = (5√5) / 4

t = 2.795 seconds

Hence, the time it will take for the rock to reach the ground from a height of 125 feet is 2.795 seconds.

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32º+ 20 + 5x+ 4x - 1. Find x.

Answers

Answer:

32°+20+9x-1

collect like terms

32°+20-1+9x

32+18+9x

50=9x

divide both side by 9

5.6

1 significant figure

=6

HELP ASAP PLEASE!!!
what is the equation of the line that passes through the points (11, - 4) and (13,- 7) in slope-intercept form?
answer choices shown in picture

Answers

Answer:

E. None of these

Step-by-step explanation:

Points: (11, -4), (13, -7)

slope = m = (y2 - y1)/(x2 - x1) = (-7 - (-4))/(13 - 11) = (-7 + 4)/2 = -3/2

y - y1 = m(x - x1)

y - (-4) = (-3/2)(x - 11)

y + 4 = (-3/2)x + 33/2

y + 8/2 = (-3/2)x + 33/2

y = (-3/2)x + 25/2

Answer: E. None of these

Step-by-step explanation:

A(11,-4) B(13,-7)

x1 y1 x2 y2

y=mx+c

-4=11m+c -(i) -7=13m+c -(ii)

Subtract equation (ii) from (i)

-7=13m+c

-4=11m+c

+ - -

-3=2m

2m=-3

m=-3/2

put m=-3/2 in equation (ii)

-7=13*(-3/2)+c

c=-7+39/2

c=(-14+39)/2

c=15/2

y=mx+c

y=-3/2x+15/2

y=(-3x+15)/2

2y=-3x+15

2y+3x-15=0

NEED HELP ASAP!! convert 287 cm to inches

Answers

287 centimeters is 112.992 inches

Answer:

112.992

Step-by-step explanation:

divide the length value by 2.54.

6.25 x 10^-2 in standard notation​

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Answer:

0.0625x

Step-by-step explanation:

-5X - 8y = 3
6x + 3y =3
Solve using elimination ?

Answers

Answer:

for the first one its x=30

for the second one its x=6

Step-by-step explanation:

its x=30 because at the end if you do the problem yourself, you would have to multiply 5×6 which is 30.

im not sure why its x=6 on that one i might be wrong but i did it but im also confused on it but i tried so yeah maybe it is.

Solve this system of equation without graphing.
5x + 2y = 29
5x - 2y = 41

Answers

Answer: Solving  we get x=7 and y= -3

Step-by-step explanation: We need to solve the following systems of equations:

Let:

Adding eq(1) and eq(2)

So, value of x=7

Putting value of x in eq(1) to find value of y:

So, value of y = -3

So, Solving  we get x=7 and y= -3

Keywords: Solving system of Equations

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Solve inequality 5-3(4x-5)<32

Answers

Answer: x > -1

Step-by-step explanation:

1) Subtract 5 from both sides

-3(4x - 5) < 27

2) Divide both sides by -3 (Remember to change the inequality sign to face the other way, because you have multiplied/divided by a negative number)

4x - 5 > -9

3) Add 5 to both sides

4x > -4

4) Divide by 4 on both sides

x > -1

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