# Chapter 10 - Section 10.1 - The Rectangular Coordinate System - Exercises - Page 441: 8d

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

#### Work Step by Step

$d = \sqrt {(2c - 2a)^{2} + (2d - 2b)^{2}}$ $d = \sqrt {(2(c - a))^{2} + (2(d - b))^{2}}$ $d = \sqrt {4(c - a)^{2} + 4(d - b)^{2}}$ $d = \sqrt {4((c - a)^{2} + (d - b)^{2})}$ $d = 2 \sqrt {(c - a)^{2} + (d - b)^{2}}$

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