Find the distance between the points (10,-4) and (1,8). Round decimals to the nearest tenth. ____ units

Calculate Differences: Calculate the differences in the x-coordinates and y-coordinates of the points. For x-coordinates: 10 - 1 = 9. For y-coordinates: -4 - 8 = -12. Apply Distance Formula: Apply 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) = 15.0. Round the Result: Round the result to the nearest tenth. 15.0 rounded to the nearest tenth is 15.0.

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Find the distance between the points $(10,-4)$ and $(1,8)$ . $\newline$ Round decimals to the nearest tenth. $\newline$ $\_\_\_$ units

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Q. Find the distance between the points

(10,-4)

and

(1,8)

\newline

Round decimals to the nearest tenth.

\newline

\_\_\_

units

Calculate Differences: Calculate the differences in the x-coordinates and y-coordinates of the points. $\newline$ For x-coordinates: $10 - 1 = 9$ . $\newline$ For y-coordinates: $-4 - 8 = -12$ .
Apply Distance Formula: Apply 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. $\sqrt{225} = 15.0.$
Round the Result: Round the result to the nearest tenth. $15.0$ rounded to the nearest tenth is $15.0$ .