Find the distance between the points (7,-2) and (-2,10). Round decimals to the nearest tenth. ____ units

Calculate Differences: Calculate the differences in the x-coordinates and y-coordinates of the points. Difference in x-coordinates: 7 - (-2) = 9 Difference in y-coordinates: -2 - 10 = -12Use Distance Formula: Use the distance formula: distance = sqrt((x2 - x1)^2 + (y2 - y1)^2). Substitute the differences: distance = sqrt(9^2 + (-12)^2) = sqrt(81 + 144) = sqrt(225)Calculate Square Root: Calculate the square root of 225 to find the distance. sqrt(225) = 15

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Find the distance between the points $(7,-2)$ and $(-2,10)$ . $\newline$ Round decimals to the nearest tenth. $\newline$ $\_\_\_$ units

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Algebra 2

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Q. Find the distance between the points

(7,-2)

and

(-2,10)

\newline

Round decimals to the nearest tenth.

\newline

\_\_\_

units

Calculate Differences: Calculate the differences in the $x$ -coordinates and $y$ -coordinates of the points. $\newline$ Difference in $x$ -coordinates: $7 - (-2) = 9$ $\newline$ Difference in $y$ -coordinates: $-2 - 10 = -12$
Use Distance Formula: Use the distance formula: $\text{distance} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$ . $\newline$ Substitute the differences: $\text{distance} = \sqrt{9^2 + (-12)^2} = \sqrt{81 + 144} = \sqrt{225}$
Calculate Square Root: Calculate the square root of $225$ to find the distance. $\sqrt{225} = 15$