Answer: Choice C) [tex]6\sqrt{2}[/tex]
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Explanation:
Apply the distance formula
[tex](x_1,y_1) = (0,-6)\\\\(x_2,y_2) = (-6,0)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(0-(-6))^2 + (-6-0)^2}\\\\d = \sqrt{(0+6)^2 + (-6-0)^2}\\\\d = \sqrt{(6)^2 + (-6)^2}\\\\d = \sqrt{36 + 36}\\\\d = \sqrt{72}\\\\d = \sqrt{36*2}\\\\d = \sqrt{36}*\sqrt{2}\\\\d = 6\sqrt{2}\\\\[/tex]
