Question

Find the length (distance) of a segment with endpoints (5,-2) and (9,4). (Must show your

work) Round your answer to the nearest tenth.
distance -

Answer 1

`7,2 ≈ D`

Explanation:

We need to use the Distance Formula:

`\sqrt{(-x_(1) + x_(2))^(2) + (-y_(1) + y_(2))^(2)} = D \\ \\ \sqrt{(-5 + 9)^(2) + (2 + 4)^(2)} = D \\ \\ \sqrt{{4}^(2) + {6}^(2)} = D \\ \\ √(16 + 36) = D \\ \\ 2√(13) = D \\ \\ 7,2 ≈ D`

** Since we are talking about distance, we ONLY want the NON-NEGATIVE root.

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