Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 2 - Graphs and Functions - 2.1 Rectangular Coordinates and Graphs - 2.1 Exercises: 18

Answer

a. $\sqrt{202}$ b. $(-\displaystyle \frac{5}{2},-\frac{1}{2})$

Work Step by Step

Let $P(x_{1}, y_{1})$ and $Q(x_{2}, y_{2})$. $d(P, Q)=\sqrt{(x_{2}-x_{\mathrm{I}})^{2}+(y_{2}-y_{1})^{2}}$ $M=(\displaystyle \frac{x_{\mathrm{I}}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})$ ----------------------- a. $P(-8,4), Q(3,-5)$. $d(P, Q)=\sqrt{(3-(-8))^{2}+(-5-4)^{2}}$ $=\sqrt{(11)^{2}+(-9)^{2}}=\sqrt{121+81}=\sqrt{202}$ b. $M=(\displaystyle \frac{-8+3}{2},\frac{4+(-5)}{2})=(-\frac{5}{2},-\frac{1}{2})$
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