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 93: 50

Answer

a. $5$ blocks b. Walking distance=$31$ blocks, Straight-line distance=$25$ blocks. c. The two points are on the same avenue or the same street.

Work Step by Step

a. $d(A, B)=\sqrt{3^{2}+4^{2}}=\sqrt{25}=5$. b We want the distances from $C=(4,2)$ to $D=(11,26)$. The walking distance is $|4-11|+|2-26|=7+24=31$ blocks. Straight-line distance is $\sqrt{(4-11)^{2}+(2-26)^{2}}=\sqrt{7^{2}+24^{2}}=\sqrt{625}=25$ blocks. c. There is no right triangle formed, the two points are on the same avenue or the same street.
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