Elementary Geometry for College Students (5th Edition)

Published by Brooks Cole
ISBN 10: 1439047901
ISBN 13: 978-1-43904-790-3

Chapter 10 - Section 10.1 - The Rectangular Coordinate System - Exercises: 8c

Answer

$2 \sqrt {a^{2} + b^{2}}$

Work Step by Step

$d = \sqrt {(a - -a)^{2} + (b - -b)^{2}}$ $d = \sqrt {(2a)^{2} + (2b)^{2}}$ $d = \sqrt {4a^{2} + 4b^{2}}$ $d = \sqrt {4(a^{2} + b^{2})}$ $d = 2 \sqrt {a^{2} + b^{2}}$
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