College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 2 - Section 2.1 - The Distance and Midpoint Formulas - 2.1 Assess Your Understanding: 29

Answer

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

Work Step by Step

RECALL: The distance $d$ between the points $(x_1, y_1)$ and $(x_2, y_2)$ can be found using the distance formula: $d = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$ Use the formula above to obtain: $d=\sqrt{(a-0)^2+(b-0)^2} \\d=\sqrt{a^2+b^2}$ Thus, the distance between the two given points is $\sqrt{a^2+b^2}$ units.
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