Answer
$2\sqrt {17}$ units
Work Step by Step
Use the formula $d(P_1,P_2)=\sqrt {(x_2-x_1)^2+(y_2-y_1)^2}$:
$d((3,-4)(5,4))
\\=\sqrt {(5-3)^2+[4-(-4)]^2}
\\=\sqrt {(2)^2+(8)^2}
\\=\sqrt {4+64}
\\=\sqrt {68}
\\=\sqrt{4(17)}
\\=2\sqrt {17}$
Precalculus (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0-32197-907-9
ISBN 13:
978-0-32197-907-0
Chapter 1 - Graphs - 1.1 The Distance and Midpoint Formulas - 1.1 Assess Your Understanding - Page 7: 23
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