Find the distance between the points (-7,5) and (1,-10). Round decimals to the nearest tenth. ____ units

Calculate Differences: Calculate the differences in the x-coordinates and y-coordinates of the points. x2 - x1 = 1 - (-7) = 8 y2 - y1 = -10 - 5 = -15Use Distance Formula: Use the distance formula: distance = sqrt((x2 - x1)^2 + (y2 - y1)^2). distance = sqrt((8)^2 + (-15)^2) = sqrt(64 + 225) = sqrt(289)Calculate Square Root: Calculate the square root of 289. sqrt(289) = 17Round Result: Round the result to the nearest tenth. Rounded distance = 17.0 units

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Find the distance between the points $(-7,5)$ and $(1,-10)$ . $\newline$ $\newline$ Round decimals to the nearest tenth. $\newline$ $\_\_\_$ units $\newline$

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Q. Find the distance between the points

(-7,5)

and

(1,-10)

\newline

\newline

Round decimals to the nearest tenth.

\newline

\_\_\_

units

\newline

Calculate Differences: Calculate the differences in the x-coordinates and y-coordinates of the points. $\newline$ $x_2 - x_1 = 1 - (-7) = 8$ $\newline$ $y_2 - y_1 = -10 - 5 = -15$
Use Distance Formula: Use the distance formula: $\text{distance} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$ .
$\text{distance} = \sqrt{(8)^2 + (-15)^2} = \sqrt{64 + 225} = \sqrt{289}$
Calculate Square Root: Calculate the square root of $289$ . $\sqrt{289} = 17$
Round Result: Round the result to the nearest tenth. $\newline$ Rounded distance = $17.0$ units