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Jlenok [28]
2 years ago
7

6

Mathematics
1 answer:
ahrayia [7]2 years ago
3 0

The length of A"B" is 20 units

<h3>How to determine the length of A'B'?</h3>

From the figure, we have:

A = (1, 4)

B = (4, 8)

The distance AB is:

AB = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2

So, we have:

AB = \sqrt{(1 -4)^2 + (4-8)^2

Evaluate

AB = \sqrt{25

This gives

AB = 5

The scale factor of dilation is 4.

So, we have:

A'B' = 5 * 4

Evaluate

A'B' = 20

Hence, the length of A"B" is 20 units

Read more about dilation at:

brainly.com/question/18977334

#SPJ1

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2.  180 cubic units

3.  1/16 cubic units

Step-by-step explanation:

<u>Question 1</u>

Volume of a rectangular prism = width × length × height

                                                   = 3 × 4 × 2

                                                   = 12 × 2

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<u />

<u>Question 2</u>

Volume of a rectangular prism = width × length × height

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                                                   = 60 × 3

                                                   = 180 cubic units

<u>Question 3</u>

Volume of a rectangular prism = width × length × height

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                                                   = 1/8 × 1/2

                                                   = 1/16 cubic units

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