   Chapter 10.1, Problem 32E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

There are two points on the x -axis that are located a distance of 6 units from the points ( 3 ,   1 ) . Determine the coordinates of each point.

To determine

To find:

The coordinates of two points on the x-axis that are located a distance of 6 units from the points (3, 1).

Explanation

Given points =(3, 1)

Distance Formula:

The distance between the two points (a, b) and (c, d) as below,

d=(x1x2)2+(y1y2)2

Here, it is given that all the second points lie on x-axis. Then, the y-coordinates are 0.

Hence, d=0

From the given data,

d=6

x1=6x2=3y1=1y2=?

Substituting the values in the above equation,

6=(3x2)2+(10)26=(3x2)2+126=(3x2)2+12

Take square root on both sides,

36=(3x2)2+1361=(3x2)235=(3x2)235=9+x

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