QuestionAugust 25, 2025

Find the distance: (2,3),(-7,0) square

Find the distance: (2,3),(-7,0) square
Find the distance: (2,3),(-7,0) square

Solution
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Answer

\sqrt{90} Explanation 1. Apply Distance Formula Use the formula for distance between two points: d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}. 2. Substitute Values Substitute (x_1, y_1) = (2, 3) and (x_2, y_2) = (-7, 0) into the formula: d = \sqrt{((-7) - 2)^2 + (0 - 3)^2}. 3. Calculate Differences Calculate differences: (-7) - 2 = -9 and 0 - 3 = -3. 4. Square Differences Square the differences: (-9)^2 = 81 and (-3)^2 = 9. 5. Sum Squares Sum the squares: 81 + 9 = 90. 6. Compute Square Root Compute the square root: d = \sqrt{90}.

Explanation

1. Apply Distance Formula<br /> Use the formula for distance between two points: $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$.<br />2. Substitute Values<br /> Substitute $(x_1, y_1) = (2, 3)$ and $(x_2, y_2) = (-7, 0)$ into the formula: $d = \sqrt{((-7) - 2)^2 + (0 - 3)^2}$.<br />3. Calculate Differences<br /> Calculate differences: $(-7) - 2 = -9$ and $0 - 3 = -3$.<br />4. Square Differences<br /> Square the differences: $(-9)^2 = 81$ and $(-3)^2 = 9$.<br />5. Sum Squares<br /> Sum the squares: $81 + 9 = 90$.<br />6. Compute Square Root<br /> Compute the square root: $d = \sqrt{90}$.
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