Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 10 - Review: 84

Answer

$(\frac{1}{20},-\frac{3}{16})$

Work Step by Step

Let $P=(x_{1},y_{1})=(0,-\frac{3}{8})$ and $Q=(x_{2},y_{2})=(\frac{1}{10},0)$ The midpoint formula is $(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})$. Substituting the values: Midpoint=$(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})$ Midpoint=$(\frac{0+\frac{1}{10}}{2},\frac{-\frac{3}{8}+0}{2})$ Midpoint=$(\frac{\frac{1}{10}}{2},\frac{-\frac{3}{8}}{2})$ Midpoint=$(\frac{1}{10}\times\frac{1}{2},-\frac{3}{8}\times\frac{1}{2})$ Midpoint=$(\frac{1}{20},-\frac{3}{16})$ Therefore, the coordinates of the midpoint are $(\frac{1}{20},-\frac{3}{16})$.
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