   Chapter 10.1, Problem 4E 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 ( - 2, 3 ) and ( - 2 , a ) is 5 units, find all possible values of a .

To determine

What is the values of a if the distance between the points -2, 3 and -2,a is 5 units?

Explanation

The given points are -2, 3 and -2,a.

Let,

Ax1,y1=-2, 3

Bx1,y2=-2,a

The x coordinates of the given points are same.

Therefore,

x1=x2=-2.

y1=3

y2=a

If y2>y1,

The distance between the points A and B=y2-y1

Substitute the values in the above distance formula

The distance between the points A and B=a-3

Substitute the given value of distance in the above equation.

5=a-3

Add 3 with both sides of the equation

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