Algebra: A Combined Approach (4th Edition)

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

Chapter 10 - Review - Page 747: 80

Answer

$\sqrt {275.6}$ units $\approx16.601$ units

Work Step by Step

Let $P=(x_{1},y_{1})=(7.4,-8.6)$ and $Q=(x_{2},y_{2})=(-1.2,5.6)$ Finding the distance between P and Q, $d(P,Q)=\sqrt {(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$ $d(P,Q)=\sqrt {(-1.2-(7.4))^{2}+(5.6-(-8.6))^{2}}$ $d(P,Q)=\sqrt {(-8.6)^{2}+(14.2)^{2}}$ $d(P,Q)=\sqrt {73.96+201.64}$ $d(P,Q)=\sqrt {275.6}\approx16.601$
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