QuestionAugust 24, 2025

Find the distance between the two points rounding to the nearest tenth (if necessary). (6,5) and (-3,7) Answer Altemptiout of 2 square

Find the distance between the two points rounding to the nearest tenth (if necessary). (6,5) and (-3,7) Answer Altemptiout of 2 square
Find the distance between the two points rounding to the nearest tenth (if necessary). (6,5) and (-3,7) Answer Altemptiout of 2 square

Solution
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Answer

9.2 Explanation 1. Identify the coordinates The points are (x_1, y_1) = (6, 5) and (x_2, y_2) = (-3, 7). 2. Apply the distance formula Use **d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}**. Substitute the values: d = \sqrt{(-3 - 6)^2 + (7 - 5)^2}. 3. Calculate the differences Compute (-3 - 6) = -9 and (7 - 5) = 2. 4. Square the differences (-9)^2 = 81 and 2^2 = 4. 5. Sum the squares 81 + 4 = 85. 6. Take the square root \sqrt{85} \approx 9.2.

Explanation

1. Identify the coordinates<br /> The points are $(x_1, y_1) = (6, 5)$ and $(x_2, y_2) = (-3, 7)$.<br />2. Apply the distance formula<br /> Use **$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$**. Substitute the values: $d = \sqrt{(-3 - 6)^2 + (7 - 5)^2}$.<br />3. Calculate the differences<br /> Compute $(-3 - 6) = -9$ and $(7 - 5) = 2$.<br />4. Square the differences<br /> $(-9)^2 = 81$ and $2^2 = 4$.<br />5. Sum the squares<br /> $81 + 4 = 85$.<br />6. Take the square root<br /> $\sqrt{85} \approx 9.2$.
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