Problem

1. Determine the distance between the point \( (-8,4) \) and the origin.

Answer

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Answer

Final answer: d = \(\sqrt{80}\)

Steps

Step 1 ：Let origin be A(0,0) and point be P(-8, 4)

Step 2 ：Apply Distance Formula: d = \(\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}\)

Step 3 ：Substitute coordinates of A and P: d = \(\sqrt{(-8-0)^2 + (4-0)^2}\)

Step 4 ：Calculate d: d = \(\sqrt{64 + 16}\)

Step 5 ：Final answer: d = \(\sqrt{80}\)

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