Intermediate Algebra (6th Edition)

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

Chapter 7 - Review: 79

Answer

$2\sqrt{11} \text{ units OR }\approx 6.633 \text{ units}$

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{5}-(-\sqrt{5}))^2+(-\sqrt{11}-(-3\sqrt{11}))^2} \\\\= \sqrt{0+44} \\\\= \sqrt{44} \\\\= \sqrt{4\cdot11} \\\\= 2\sqrt{11} \text{ units OR }\approx 6.633 \text{ units} .\end{array}
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