Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 7 - Review: 78

Answer

$7\sqrt{2} \text{ units OR }\approx 9.899 \text{ units}$

Work Step by Step

Using the Distance Formula, $d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$, the distance between the given points is \begin{array}{l} \sqrt{(-\sqrt{2}-0)^2+(0-(-4\sqrt{6}))^2} \\\\= \sqrt{2+96} \\\\= \sqrt{98} \\\\= \sqrt{49\cdot2} \\\\= 7\sqrt{2} \text{ units OR }\approx 9.899 \text{ units} .\end{array}
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