Answer
$5$ units
Work Step by Step
Use the distance formula $d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$ to obtain:
$d=\sqrt{(0-(-3))^2+(0-4)^2}
\\d=\sqrt{(0+3)^2+(-4)^2}
\\d=\sqrt{3^2+16}
\\d=\sqrt{9+16}
\\d=\sqrt{25}
\\d =5$
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