QuestionAugust 26, 2025

Find the distance between the points T(13,1.6) and V(5.4,3.7) The exact distance between the two points is square

Find the distance between the points T(13,1.6) and V(5.4,3.7) The exact distance between the two points is square
Find the distance between the points T(13,1.6) and V(5.4,3.7)
The exact distance between the two points is
square

Solution
4.7(174 votes)

Answer

7.88 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) = (13, 1.6) and (x_2, y_2) = (5.4, 3.7) into the formula: d = \sqrt{(5.4 - 13)^2 + (3.7 - 1.6)^2}. 3. Calculate Differences Calculate differences: 5.4 - 13 = -7.6 and 3.7 - 1.6 = 2.1. 4. Square Differences Square the differences: (-7.6)^2 = 57.76 and (2.1)^2 = 4.41. 5. Sum Squares Sum the squares: 57.76 + 4.41 = 62.17. 6. Compute Square Root Compute the square root: d = \sqrt{62.17} \approx 7.88.

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 $(x_1, y_1) = (13, 1.6)$ and $(x_2, y_2) = (5.4, 3.7)$ into the formula: $d = \sqrt{(5.4 - 13)^2 + (3.7 - 1.6)^2}$.<br />3. Calculate Differences<br /> Calculate differences: $5.4 - 13 = -7.6$ and $3.7 - 1.6 = 2.1$.<br />4. Square Differences<br /> Square the differences: $(-7.6)^2 = 57.76$ and $(2.1)^2 = 4.41$.<br />5. Sum Squares<br /> Sum the squares: $57.76 + 4.41 = 62.17$.<br />6. Compute Square Root<br /> Compute the square root: $d = \sqrt{62.17} \approx 7.88$.
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