Find the distance between the points (10,7) and (5,-5). Round decimals to the nearest tenth. ____ units

Calculate Differences: Calculate the differences in the x-coordinates and y-coordinates. Difference in x-coordinates: 10 - 5 = 5 Difference in y-coordinates: 7 - (-5) = 12Use Distance Formula: Use the distance formula: distance = sqrt((x2 - x1)^2 + (y2 - y1)^2). Substitute the differences: distance = sqrt(5^2 + 12^2) = sqrt(25 + 144) = sqrt(169)Calculate Square Root: Calculate the square root of 169. sqrt(169) = 13Round Result: Round the result to the nearest tenth. Rounded distance = 13.0 units

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Find the distance between the points $(10,7)$ and $(5,-5)$ . $\newline$ Round decimals to the nearest tenth. $\_\_\_$ units

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Algebra 2

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Q. Find the distance between the points

(10,7)

and

(5,-5)

\newline

Round decimals to the nearest tenth.

\_\_\_

units

Calculate Differences: Calculate the differences in the $x$ -coordinates and $y$ -coordinates. $\newline$ Difference in $x$ -coordinates: $10 - 5 = 5$ $\newline$ Difference in $y$ -coordinates: $7 - (-5) = 12$
Use Distance Formula: Use the distance formula: $\text{distance} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$ . $\newline$ Substitute the differences: $\text{distance} = \sqrt{5^2 + 12^2} = \sqrt{25 + 144} = \sqrt{169}$
Calculate Square Root: Calculate the square root of $169$ . $\sqrt{169} = 13$
Round Result: Round the result to the nearest tenth. $\newline$ Rounded distance = $13.0$ units