Question
Compute the distance between the points. \( (21,-14) \) and \( (13,1) \) The distance between the given points is 0 of 1 (Type an exact answer, using radicals as needed.)
Ask by Stephens Schwartz. in the United States
Mar 14,2025
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Answer
The distance between the points \( (21, -14) \) and \( (13, 1) \) is 17.
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To find the distance \(d\) between the points \((x_1, y_1) = (21, -14)\) and \((x_2, y_2) = (13, 1)\), we can use the distance formula: \[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \] Substituting in the coordinates: \[ d = \sqrt{(13 - 21)^2 + (1 - (-14))^2} \] \[ = \sqrt{(-8)^2 + (1 + 14)^2} \] \[ = \sqrt{64 + 15^2} \] \[ = \sqrt{64 + 225} \] \[ = \sqrt{289} \] \[ = 17 \] The distance between the given points is \(17\).