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: 3

Answer

$\sqrt{(c-a)^2 + (d-b)^2}$; $10$

Work Step by Step

RECALL: The distance $d$ between two points $(a, b)$ and $c, d)$ can be found using the distance formula: $d=\sqrt{(c-a)^2 + (d-b)^2}$ Thus, using the formula above, the distance between the points $(1, 2)$ and $(7, 10)$ is: $d=\sqrt{(7-1)^2+(10-2)^2} \\d=\sqrt{6^2+8^2} \\d=\sqrt{36+64} \\d=\sqrt{100} \\d=\sqrt{10^2} \\d=10$ Thus, the missing expressions in the given statements are (in order): $\sqrt{(c-a)^2 + (d-b)^2}$; $10$
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