College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 1, Equations and Graphs - Section 1.1 - The Coordinate Plane - 1.1 Exercises - Page 92: 35


The point $A(6,7)$ is closer to the origin.

Work Step by Step

$d(O, A)=\sqrt{(6-0)^{2}+(7-0)^{2}}=\sqrt{6^{2}+7^{2}}$ $=\sqrt{36+49}=\sqrt{85}$. $d(O, B)=\sqrt{(-5-0)^{2}+(8-0)^{2}}=\sqrt{(-5)^{2}+8^{2}}$ $=\sqrt{25+64}=\sqrt{89}$. The point $A(6,7)$ is closer to the origin.
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