QuestionAugust 24, 2025

Find the distance between (4,-8) and (4,2) The distance is square units.

Find the distance between (4,-8) and (4,2) The distance is square units.
Find the distance between (4,-8) and (4,2) The distance is square units.

Solution
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Answer

10 units Explanation 1. Identify the coordinates The points are (x_1, y_1) = (4, -8) and (x_2, y_2) = (4, 2). 2. Apply the distance formula Use **d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}**. Substitute the values: d = \sqrt{(4 - 4)^2 + (2 + 8)^2}. 3. Simplify the expression Calculate: d = \sqrt{0^2 + 10^2} = \sqrt{100}. 4. Compute the final result d = 10.

Explanation

1. Identify the coordinates<br /> The points are $(x_1, y_1) = (4, -8)$ and $(x_2, y_2) = (4, 2)$.<br />2. Apply the distance formula<br /> Use **$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$**. Substitute the values: $d = \sqrt{(4 - 4)^2 + (2 + 8)^2}$.<br />3. Simplify the expression<br /> Calculate: $d = \sqrt{0^2 + 10^2} = \sqrt{100}$.<br />4. Compute the final result<br /> $d = 10$.
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