College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 2 - Functions and Graphs - Exercise Set 2.8 - Page 319: 29

Answer

Midpoint $=(2\sqrt{2},0)$

Work Step by Step

$(\sqrt{18},-4)$ and $(\sqrt{2},4)$ The midpoint of a segment with endpoints $(x_{1},y_{1})$ and $(x_{2},y_{2})$ is $\Big(\dfrac{x_{1}+x_{2}}{2},\dfrac{y_{1}+y_{2}}{2}\Big)$ Substitute the given points into the formula and evaluate: Midpoint $=\Big(\dfrac{\sqrt{18}+\sqrt{2}}{2},\dfrac{-4+4}{2}\Big)=\Big(\dfrac{3\sqrt{2}+\sqrt{2}}{2},\dfrac{0}{2}\Big)=...$ $...=\Big(\dfrac{4\sqrt{2}}{2},0\Big)=(2\sqrt{2},0)$
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