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3 years ago

quadrilateral ABCD is dilated by a scale factor of 2 centered around (2,2). Which statement is true about the dilation?

Mathematics

1 answer:

Setler [38]3 years ago

6 0

Answer:

The vertices of the image will have the coordinates

A(-5, 1) → A'(2x-2, 2y-2) → A'(-12, 0)

B(-4, 3) → B'(2x-2, 2y-2) → B'(-10, 4)

C(1, 2) → C'(2x-2, 2y-2) → C'(0, 2)

D(-3, 0) → D'(2x-2, 2y-2) → D'(-8, -2)

Step-by-step explanation:

<em>Note: You missed to mention the vertices of a quadrilateral ABCD. So, I am assuming the following vertices. It would anyways clear your concept.</em>

<em />

Let us suppose

A(-5, 1)

B(-4, 3)

C(1, 2)

D(-3, 0)

We know that the rule of the dilation with the center of dilation at (2,2) by a scale factor of 2 is:

(x, y) → (2x-2, 2y-2)

Therefore, the vertices of the image will have the coordinates

A(-5, 1) → A'(2x-2, 2y-2) → A'(-12, 0)

B(-4, 3) → B'(2x-2, 2y-2) → B'(-10, 4)

C(1, 2) → C'(2x-2, 2y-2) → C'(0, 2)

D(-3, 0) → D'(2x-2, 2y-2) → D'(-8, -2)

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Step-by-step explanation:

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3 years ago

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3 years ago

James decides to walk from school to the park tp play ball. The park is only 0.5 mile from the school. He leaves school at 3:15

aleksley [76]

Answer: $0.05\ \frac{mi}{min}$

Step-by-step explanation:

For this exercise you need to remember the following formula:

$V=\frac{d}{t}$

Where "V" is the speed, "d" is the distance and "t" is time.

In this case, according to the information given in the exercise, you know that:

- James leaves his school at 3:15 and arrives at the park at 3:25. Then, you can identify that the time it takes him to go from his school to the park is:

$t=10\ min$

- The park is 0.5 miles from James' school. Therefore, you can identify that "d" is:

$d=0.5\ mi$

So, knowing those values, you can substitute them into the formula:

$V=\frac{0.5\ mi}{10\ min}$

Finally, evaluating, you get the following result:

$V=0.05\ \frac{mi}{min}$

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3 years ago

Thomas finished the 200-meter race in 25. 7 seconds while Mikah finished in 28. 1 seconds. How much faster did Thomas run the ra

kherson [118]

Thomas finished 2.4 seconds faster than Mikah which has higher speed than Mikah.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Main body:

200-meter race finished by Thomas = 25.7 sec

200-meter race finished by Mikah = 28.1 sec

The difference between their time shows How much faster did Thomas run the race than Mikah.

=28.1 - 25.7

=2.4 seconds

Hence, Thomas finished 2.4 seconds faster than Mikah which has higher speed than Mikah.

To know more about arithmetic click on The link below

brainly.com/question/14753192

#SPJ1

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1 year ago

Mya wants to buy a sweater from a store. The original price of the sweater is $40. The sweater is on sale for 10% off the origin

Nimfa-mama [501]

$36
10% of $40 = $4
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3 years ago