Algebra: A Combined Approach (4th Edition)

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

Chapter 10 - Review - Page 747: 78


$7\sqrt {2}$ units $\approx9.899$ units

Work Step by Step

Let $P=(x_{1},y_{1})=(-\sqrt 2,0)$ and $Q=(x_{2},y_{2})=(0,-4\sqrt 6)$ Finding the distance between P and Q, $d(P,Q)=\sqrt {(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2})}$ $d(P,Q)=\sqrt {(0-(-\sqrt 2))^{2}+(-4\sqrt 6-0)^{2}}$ $d(P,Q)=\sqrt {(\sqrt 2)^{2}+(-4\sqrt 6)^{2}}$ $d(P,Q)=\sqrt {2+16(6)}$ $d(P,Q)=\sqrt {2+96}$ $d(P,Q)=\sqrt {98}$ $d(P,Q)=\sqrt {49\times2}$ $d(P,Q)=7\sqrt {2}\approx9.899$
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