   Chapter 10.1, Problem 5E 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

If the distance between ( b , 3 ) and ( 7, 3 ) is 3.5 units, find all possible values of b .

To determine

What is the values of b if the distance between the points b,3 and 7, 3 is 3.5 units?

Explanation

The given points are b,3 and 7, 3.

Let,

Ax1,y1=b,3

Bx1,y2=7, 3

The y coordinates of the given points are same.

Therefore,

y1=y=3.

x1=b

x2=7

If x2>x1,

The distance between the points A and B=x2-x1

Substitute the values in the above distance formula

The distance between the points A and B=7-b

Substitute the given value of distance in the above equation

3.5=7-b

Subtract 7 from both sides of the equation

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