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]


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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?​

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The answer would be -28
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Answer:

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Step-by-step explanation:

Answer:

-17 - 13.9 = -30.9

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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.

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Answers

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answers

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Answers

Answer:

x=3

Step-by-step explanation:

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

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Answer:

x=3

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final answer

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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

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

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Step-by-step explanation:

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Step-by-step explanation:

Answer:

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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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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

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Step-by-step explanation:

D = speed x time

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Answers

Answer:

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

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Given data ,

Let the cost of the toppings be represented as A

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Step-by-step explanation:

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Answers

Answer:

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