Elementary Geometry for College Students (7th Edition) Clone

Published by Cengage
ISBN 10: 978-1-337-61408-5
ISBN 13: 978-1-33761-408-5

Chapter 10 - Section 10.1 - The Rectangular Coordinate System - Exercises - Page 449: 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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