Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 1 - Tools of Geometry - 1-7 Midpoint and Distance in the Coordinate Plane - Practice and Problem-Solving Exercises - Page 56: 60

Answer

$d=6.5$

Work Step by Step

Use the distance formula: $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2}$ $d=\sqrt{(-2-2)^2+(4-3)^2+(9-4)^2}$ $d=\sqrt{(-4)^2+(1)^2+(5)^2}$ $d=\sqrt{16+1+25}$ $d=\sqrt{42}$ $d\approx6.5$
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