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

Need help for math! Open the picture above number 7 thank you

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Answer:

1975....?

Step-by-step explanation:

3.860x10^3 - 1.885x10^3

What is the equivalent expression to (8^-5/2^-2)^-4

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Answer:

8^20 / 2^8

Step-by-step explanation:

when it is raised. you multiply it.

Nico earns $12.50 per hour as a math tutor. Show that the relationship between the amount he earns and the number of hours he tutors is a proportional relationship. What is the constant of proportionality (k). Then write the equation for the relationship.

Answers

Answer:

12.50k

Step-by-step explanation:

I came to this answer as k is the number of hours, and 12.50 is how much per hour.

Please help me!! Thanks!!!

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Answer:

yessirrr

Step-by-step explanation:

1. They are all 100 degrees

2. They are once again all 150 degrees

An ice cream shop charges customers a set amount for one scoop of ice cream, plus a charge per topping. If two toppings would cost a total of $3.99, and 4 toppings $4.99, what is the rate per topping?

Answers

Answer:

$0.50 per topping

Step-by-step explanation:

x + 2t = 3.99

x + 4t = 4.99

x + 2t = 3.99

2t = 3.99 - x

t = 1.995 - 0.5x

x + 4t = 4.99

x + 4(1.995 - 0.5x) = 4.99

x + 7.98 - 2x = 4.99

7.98 - x = 4.99

-x = -2.99

x = 2.99

t = 1.995 - 0.5(2.99)

t = 1.995 - 1.495

t = 0.50

The rate per toppings is given by the equation A = $ 0.50

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the cost of the toppings be represented as A

Now , the equation will be

The cost of 2 toppings = $ 3.99

So , 2A = 3.99   be equation (1)

The cost of 4 toppings = $ 4.99

And , 4A = 4.99   be equation (2)

Subtracting equation (1) from equation (2) , we get

4A - 2A = 4.99 - 3.99

On simplifying the equation , we get

2A = 1.00

Divide by 2 on both sides of the equation , we get

A = $ 0.50

Therefore , the value of A is $ 0.50

Hence , the cost of one toppings is $ 0.50

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ5

Find the slope of the line that passes through (8, 9) (6, 12)

Please help

Answers

M=-3/2
Pls mark me brainliest

What’s the answer? -17 - 13.9

Answers

Answer:

-4.1

Step-by-step explanation:

Answer:

-17 - 13.9 = -30.9

Step-by-step explanation:

when subtracting negative and positive numbers you get a negative:

- -  +  =  -

Leo works at McDonalds, and gets paid $8.50 hr. He passed his store’s inspection and received a $100 bonus.
Write an equation that represents the given relationship.

Answers

Answer:

$8.50hr+ $100=x

Step-by-step explanation:

His $8.50 per hour is given to him plus $100 bonus.

what the person before me said

Factor completely x2 − 7x + 18. (1 point)
Prime
(x − 9)(x − 2)
(x − 9)(x + 2)
(x + 9)(x + 2)

Answers

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[tex] {x}^{2} - 7x + 18 = (x - 9)(x + 2) \\ [/tex]

Thus the correct answer is the second one.

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Harold worked 40 hours between Monday and Friday and then more hours during the weekend. Over the whole week, he worked over 52 hours. (Use h as a variable.)

Answers

Answer:

h=12

Step-by-step explanation:

I think the question is asking how long he worked over the weekend.(sorry if that's not what they were asking)

More specifically: h is greater than or equal to 12

- (-6x + 6) + 3 = 3 + 4x
I need help

Answers

Answer:

x=3

Step-by-step explanation:

-1(-6x + 6) + 3 = 3 + 4x

6x - 6 + 3 = 3 + 4x

6x - 3 = 3 + 4x

2x - 3 = 3

2x=6

x=3

Answer:

x=3

Step-by-step explanation:

-(-6x+6)+3=3+4x

6x-6+3=3+4x

6x-3=3+4x

6x-4x=3+3

2x=6

x=6/2

x=3

final answer

thank you bro

Example
Find an equation of the line containing the points (2, 2)
and (-6, -4),
Solution First, we find the slope:

Answers

Answer:

6/8

Step-by-step explanation:

y^1-y^2/x^1-x^2

2+4/2+6

6/8

Answer:

Step-by-step explanation:

y=.5x+-1 ?

Paralympics/Biking: List 3 ways math is used in biking
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Answers

Answer: Calculating miles, calculating burned calories, and finding out your target heart rate.

Step-by-step explanation:

Answer:

Angles, the circumference of the wheel, and ratios for the gears

Step-by-step explanation:

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Answers

Answer:

f/373 = 294

Step-by-step explanation:

Solve the equation x32 +10 =118

Answers

Answer:

x=1.157563

Step-by-step explanation:

Answer:

x = 3.375 :)

Step-by-step explanation:

32x+10=118

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108/32= 3.375

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Answers

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Stu hiked a trail at an average rate of 3 miles per hour. He ran back on the same trail at an average rate of 5 miles per hour. He traveled for a total of 3 hours. The equation 3t = 5(3 – t) can be used to find the time it took Stu to hike one way. How long did it take Stu to hike the trail one way? hours How long is the trail? miles What is the total distance Stu travelled? miles

Answers

Answer:

Time taken to travel at 3 miles = 1.875

Time taken to travel at 5miles = 1.125

Total distance = 11.25

Step-by-step explanation:

D = speed x time

Time = distance/speed

Time at 3 miles per hour and 5 miles per hour

T1 = d/3

T2 = d/5

Total time = 3 hours

T1+t2 = 3 hours

d/3 + d/5 = 3

= d(1/2+1/5) = 3

d(5+3/15) = 3

d(8/15) = 3

We cross multiply

8d = 45

d = 45/8

= 5.625 miles

Total distance = 2d

2x5.625 = 11.25 miles

Since d is now known

T1 = 5.625/3 = 1.875 hours also 1 hour 52.5 minutes

T2 = 5.625/5 = 1.125 hours = 1 hour 7.5 minutes

Total distance 2xd = 11.25

Answer:

the answer is

A. 1.875 hours

C. 5.625 miles

D. 11.25 miles

Step-by-step explanation:

magic

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Answer:

x = -9

Step-by-step explanation:

First, subtract 3 from both sides of the equation and distribute the 3 to the x and -2.

3x - 6 - 2x = -15

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Answers

Answer:

Rational

Step-by-step explanation:

Answer:

irrational

Step-by-step explanation:

because it does not simplify into a whole number

Julla typed 374 words in five minutes in her keyboarding class. At this rate, how many words could she type in 11 minutes?

Answers

Answer:

822.8 Words.

Step-by-step explanation:

First, divide 374 by 5 to find the amount of words "Julla" can type in 1 minute. This should give you 74.8 words. Then multiply this by 11 to find the amount of words "Julla" can type in 11 minutes. By doing this, we can get 822.8 words. You may want to round this up to 823 words.

Hope this helps! Let me know.

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Answers

Answer:

9

Step-by-step explanation:

Answer: The Answer is 9 i'm really sure this is the answer

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Answers

Answer:

correct answer is B

Step-by-step explanation:

hi

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Answer:

21

Step-by-step explanation:

bc yes

Answer: 19

Step-by-step explanation:

If 10 plus 10 is 20, 10 plus 9 is 19

can anyone help me with this question?

Answers

9514 1404 393

Answer:

  E.  37

Step-by-step explanation:

Adjacent angles of a parallelogram are supplementary:

  (4x -2)° +34° = 180°

  4x = 148 . . . . . . . . . . . divide by °, subtract 32

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the sum of two numbers is -18. if the first number is 10 which equation represents this situation and what is the second number?​

Answers

The answer would be -28
10+ -28= -18

Car A travels 127 miles in 4 hours. Car B travels 350 miles in 4 hours. Car C travels 583 miles in 14 hours. Which car has the fastest average speed?

Answers

B but look at the image to understand y

Answer:

B is the answer

Ink cartridges are heavy 1/4 pound. The total weight of the cartridges in a box is 2 1/2 pounds. How many cartridges does the box contain?

Answers

There are 10 cartridges in the box.

Answer:

10 cartridges

Step-by-step explanation:

2x4+2=10

hope this helps

Round the number to the place of the underlined digit. The underlined digit is supposed to be the 7.
42.76

Answers

Answer:

42.80

Step-by-step explanation:

5 or up you round up. 4 or down, you round down. So since 6 is bigger than 5, you round up.

Find the solution when x=2 and y=6
x(7+ y) - 5

Answers

Answer:

21

Step-by-step explanation:

2(7+6)-5

2(13)-5

26-5

21

There were 3 boys for every 4 girls in the group. If there were 20 girls, how many students in all went on the field trip?

Answers

Answer:

35 students

Step-by-step explanation:

15 Boys and 20 girls

Hope this is what you needed!

Answer:

Step-by-step explanation:

3 Boys= 4 Girls

[tex]\frac{3}{4} = \frac{boys}{girls}[/tex]

[tex]\frac{3}{4} = \frac{boys}{20}[/tex]

boys= 15

Total students: 15+20=35 students

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