Find the distance between the points (-8,-5) and (-3,7). Round decimals to the nearest tenth. ____ units

Calculate Differences: Calculate the differences in the x-coordinates and y-coordinates of the points (-8,-5) and (-3,7). x2 - x1 = -3 - (-8) = 5, y2 - y1 = 7 - (-5) = 12. Use Distance Formula: Use the distance formula, d = sqrt((x2 - x1)^2 + (y2 - y1)^2), to find the distance between the points. d = sqrt(5^2 + 12^2) = sqrt(25 + 144) = sqrt(169). Calculate Square Root: Calculate the square root of 169 to find the distance. sqrt(169) = 13.

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Find the distance between the points $(-8,-5)$ and $(-3,7)$ . $\newline$ $\newline$ Round decimals to the nearest tenth. $\newline$ $\_\_\_$ units $\newline$

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Q. Find the distance between the points

(-8,-5)

and

(-3,7)

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\newline

Round decimals to the nearest tenth.

\newline

\_\_\_

units

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Calculate Differences: Calculate the differences in the $x$ -coordinates and $y$ -coordinates of the points $(-8,-5)$ and $(-3,7)$ . $x_2 - x_1 = -3 - (-8) = 5$ , $y_2 - y_1 = 7 - (-5) = 12$ .
Use Distance Formula: Use the distance formula, $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$ , to find the distance between the points. $d = \sqrt{5^2 + 12^2} = \sqrt{25 + 144} = \sqrt{169}$ .
Calculate Square Root: Calculate the square root of $169$ to find the distance. $\sqrt{169} = 13.$