QuestionAugust 25, 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
3.7(343 votes)

Answer

7.8848 Explanation 1. Identify the coordinates The coordinates are T(13, 1.6) and V(5.4, 3.7). 2. Apply the distance formula Use **d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}** where (x_1, y_1) = (13, 1.6) and (x_2, y_2) = (5.4, 3.7). 3. Calculate differences x_2 - x_1 = 5.4 - 13 = -7.6, y_2 - y_1 = 3.7 - 1.6 = 2.1. 4. Square the differences (-7.6)^2 = 57.76, (2.1)^2 = 4.41. 5. Sum the squares 57.76 + 4.41 = 62.17. 6. Take the square root \sqrt{62.17} \approx 7.8848.

Explanation

1. Identify the coordinates<br /> The coordinates are $T(13, 1.6)$ and $V(5.4, 3.7)$.<br />2. Apply the distance formula<br /> Use **$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$** where $(x_1, y_1) = (13, 1.6)$ and $(x_2, y_2) = (5.4, 3.7)$.<br />3. Calculate differences<br /> $x_2 - x_1 = 5.4 - 13 = -7.6$, $y_2 - y_1 = 3.7 - 1.6 = 2.1$.<br />4. Square the differences<br /> $(-7.6)^2 = 57.76$, $(2.1)^2 = 4.41$.<br />5. Sum the squares<br /> $57.76 + 4.41 = 62.17$.<br />6. Take the square root<br /> $\sqrt{62.17} \approx 7.8848$.
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