Algebra: A Combined Approach (4th Edition)

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

Chapter 10 - Review: 154

Answer

$\sqrt {41}$ units

Work Step by Step

Let $P=(x_{1},y_{1})=(-3,5)$ and $Q=(x_{2},y_{2})=(-8,9)$ Finding the distance between P and Q, $d(P,Q)=\sqrt {(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$ $d(P,Q)=\sqrt {(-8-(-3))^{2}+(9-5)^{2}}$ $d(P,Q)=\sqrt {(-8+3)^{2}+(4)^{2}}$ $d(P,Q)=\sqrt {(-5)^{2}+(4)^{2}}$ $d(P,Q)=\sqrt {25+16}$ $d(P,Q)=\sqrt {41}$ units
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