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Chapter 10: Q59. (page 659)

How far apart in feet are the swings from the slide?

Short Answer

Expert verified

The swings are 4.1feet apart from the slide.

Step by step solution

01

Step 1. Given.

The graph is given.

02

Step 2. Write the distance formula to find the distance between the given two points.

The distance (d) between the pointsx1,y1 andx2,y2 is given by:

d=x2鈭�x12+y2鈭�y12

03

Step 3. Determine how far apart are the swings from the slide.

From the given graph, it can be noticed that the coordinates of the location of swings and slide are1,9 and2,5 respectively.

Therefore, the distance (d) between the points1,9 and2,5 is:

d=x2鈭�x12+y2鈭�y12=2鈭�12+5鈭�92=12+鈭�42=1+16=17=4.1231056鈮�4.1

Therefore, the swings are 4.1 feet apart from the slide.

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