QuestionMay 5, 2026

Find the distance between the given points. (-3,1) and (12,37) square

Find the distance between the given points. (-3,1) and (12,37) square
Find the distance between the given points.
(-3,1) and (12,37)
square

Solution
4.2(236 votes)

Answer

39 Explanation 1. Apply the distance formula Use **d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}** with x_1 = -3, y_1 = 1, x_2 = 12, y_2 = 37. 2. Calculate differences x_2 - x_1 = 12 - (-3) = 15, y_2 - y_1 = 37 - 1 = 36. 3. Square and sum 15^2 = 225, 36^2 = 1296, sum = 1521. 4. Take square root \sqrt{1521} = 39.

Explanation

1. Apply the distance formula<br /> Use **$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$** with $x_1 = -3$, $y_1 = 1$, $x_2 = 12$, $y_2 = 37$.<br /><br />2. Calculate differences<br /> $x_2 - x_1 = 12 - (-3) = 15$, <br /> $y_2 - y_1 = 37 - 1 = 36$.<br /><br />3. Square and sum<br /> $15^2 = 225$, $36^2 = 1296$, sum = $1521$.<br /><br />4. Take square root<br /> $\sqrt{1521} = 39$.
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