QuestionAugust 24, 2025

Find the distance between the points (8,0) and (6,1) Write your answer as a whole number or a fully simplified radical expression. Do not round. square units

Find the distance between the points (8,0) and (6,1) Write your answer as a whole number or a fully simplified radical expression. Do not round. square units
Find the distance between the points (8,0) and (6,1) Write your answer as a whole number or a fully simplified radical expression. Do not round. square units

Solution
4.0(191 votes)

Answer

\sqrt{5} units Explanation 1. Apply the Distance Formula Use the formula d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}. 2. Substitute the Coordinates Substitute (x_1, y_1) = (8, 0) and (x_2, y_2) = (6, 1) into the formula: d = \sqrt{(6 - 8)^2 + (1 - 0)^2}. 3. Calculate Differences Calculate (6 - 8)^2 = (-2)^2 = 4 and (1 - 0)^2 = 1^2 = 1. 4. Compute the Square Root Add the results: d = \sqrt{4 + 1} = \sqrt{5}.

Explanation

1. Apply the Distance Formula<br /> Use the formula $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$.<br />2. Substitute the Coordinates<br /> Substitute $(x_1, y_1) = (8, 0)$ and $(x_2, y_2) = (6, 1)$ into the formula: $d = \sqrt{(6 - 8)^2 + (1 - 0)^2}$.<br />3. Calculate Differences<br /> Calculate $(6 - 8)^2 = (-2)^2 = 4$ and $(1 - 0)^2 = 1^2 = 1$.<br />4. Compute the Square Root<br /> Add the results: $d = \sqrt{4 + 1} = \sqrt{5}$.
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