Answer
$|a|\sqrt 2$ units
Work Step by Step
Use the formula $d(P_1,P_2)=\sqrt {(x_2-x_1)^2+(y_2-y_1)^2}$:
$d((a,a),(0,0))
\\=\sqrt {(0-a)^2+(0-a)^2}
\\=\sqrt {a^2+a^2}
\\=\sqrt {2a^2}
\\=|a|\sqrt 2$
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: 30
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