   Chapter 10.3, Problem 40E 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 graph of the parabola y = x 2 contains the point X with x -coordinate a and point Y with x -coordinate b . Find an expression for the midpoint of X Y - in terms of a and b .

To determine

To find:

The expression for the midpoint of XY- in terms of a and b.

Explanation

The parabola y=x2 is drawn.

A point X with x-coordinate a is plotted.

A point Y with x-coordinate b is plotted.

Find the y-coordinate for both the points.

For point X, substitute x=a and find y.

y=a2

For point Y, substitute x=b and find y.

y=b2

The coordinates of Xa, a2.

The coordinates of Yb, b2.

Now, the expression for the midpoint of XY- is to be found out

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