Question
Find the distance between the points \( (-2,1) \) and \( (5,3) \). You can enter a number to the nearest hundredth or calculate the number by entering the formula as you would on a calculator. Distance \( =\square \)
Ask by Kelly Ward. in Canada
Mar 12,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Distance \( = 7.28 \)
Solution

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The Deep Dive
To find the distance between the two points \( (-2,1) \) and \( (5,3) \), use the distance formula: \[ D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \] Substituting in the coordinates: \[ D = \sqrt{(5 - (-2))^2 + (3 - 1)^2} = \sqrt{(5 + 2)^2 + (2)^2} = \sqrt{7^2 + 2^2} = \sqrt{49 + 4} = \sqrt{53} \] Calculating this gives approximately \( 7.28 \). Distance \( = 7.28 \)