amazingmariah1234

27.02.2021 • 

Mathematics

The graph below shows Lisa's distance from her home (y), in miles, after a certain amount of time (x), in minutes: Graph titled Lisas Distance Vs Time shows 0 to 10 on x and y axes at increments of 1. The label on x axis is time in minutes and that on y axis is Distance from Home in miles. Lines are joined at the ordered pairs 0, 0 and 1, 0.5 and 1.5, 1 and 2, 2 and 3, 2 and 4, 2 and 5, 3 and 6, 4 and 7, 5 and 8, 6. Four students described Lisa's motion, as shown in the table below: Student Description Greg She drives at a variable speed for 2 minutes, then stops at a crossing for 2 minutes, and finally drives at a constant speed for the next 4 minutes. Sam She drives at a variable speed for 2 minutes, then stops at a crossing for 4 minutes, and finally drives at a constant speed for the next 8 minutes. Jane She drives at a variable speed for 2 minutes, then drives at a constant speed for the next 2 minutes, and finally drives at a variable speed for the next 4 minutes. Pam She drives at a variable speed for 2 minutes, then drives at a constant speed for 4 minutes, and finally drives at a variable speed for the next 8 minutes. Which student most accurately described Lisa's motion? Greg Sam Jane Pam

Ответ:

Morganwing1019

13.07.2022

Mathematics

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 The correct option is (A) reduction.

Step-by-step explanation:  Given that the quadrilateral A'B'C'D' is a dilation of the quadrilateral ABCD.

As shown in the given figure, the lengths of the sides of quadrilateral ABCD are as follows:

AB = 5 units, BC = 4 units, CD = 10 units and DA = 6 units.

And, the lengths of the sides of quadrilateral A'B'C'D' are as follows:

We know that the dilation will be an enlargement if the scale factor is greater than 1 and it will be a reduction if the scale factor is less than 1.

Now, the scale factor is given by

Since the scale factor is less than 1, so the dilation will be a reduction.

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