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: 36

Answer

Point $C$ is closer to point $E$ .

Work Step by Step

$d(E, C)=\sqrt{(-6-(-2))^{2}+(3-1)^{2}}=\sqrt{(-4)^{2}+2^{2}}$ $=\sqrt{16+4}=\sqrt{20}$. $d(E, D)=\sqrt{(3-(-2))^{2}+(0-1)^{2}}=\sqrt{5^{2}+(-1)^{2}}$ $=\sqrt{25+1}=\sqrt{26}$. Point $C$ is closer to point $E$ (than point $D$).
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