   Chapter 10.5, Problem 50E 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

The y -axis along with the graphs of y = - 2 x + 7 and y = x + 2 encloses a triangular region. Find the area of that region.

To determine

To find:

The area of the triangular region formed from the y-axis along with the graphs of y=-2x+7 and y=x+2

Explanation

The graph of the equation y=-2x+7 and y=x+2 is shown in the above figure.

These two lines forms the triangle with y-axis which is named as ABC.

The area of the triangle is 12×base×height.

From the graph,

Base, AC=5

Height, =1

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