Answer
$5\sqrt 5$ units
Work Step by Step
Use the formula $d(P_1,P_2)=\sqrt {(x_2-x_1)^2+(y_2-y_1)^2}$:
$d((-4,-3),(6,2))
\\=\sqrt {[6-(-4)]^2+[2-(-3)]^2}
\\=\sqrt {{10}^2+5^2}
\\=\sqrt {100+25}
\\=\sqrt {125}
\\=\sqrt{25(5)}
\\=5\sqrt 5$
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: 28
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