Find the distance between the points (10,9) and (-2,-7). 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: 10 - (-2) = 12 Difference in y-coordinates: 9 - (-7) = 16Use Distance Formula: Use the distance formula: Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2). Substitute the differences: Distance = sqrt(12^2 + 16^2) = sqrt(144 + 256) = sqrt(400)Calculate Square Root: Calculate the square root of 400 to find the distance. sqrt(400) = 20

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Find the distance between the points $(10,9)$ and $(-2,-7)$ . $\newline$ R Round decimals to the nearest tenth. $\_\_\_$ units

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Algebra 2

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Q. Find the distance between the points

(10,9)

and

(-2,-7)

\newline

R Round decimals to the nearest tenth.

\_\_\_

units

Calculate Differences: Calculate the differences in the $x$ -coordinates and $y$ -coordinates of the points. $\newline$ Difference in $x$ -coordinates: $10 - (-2) = 12$ $\newline$ Difference in $y$ -coordinates: $9 - (-7) = 16$
Use Distance Formula: Use the distance formula: $\text{Distance} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$ . Substitute the differences: $\text{Distance} = \sqrt{12^2 + 16^2} = \sqrt{144 + 256} = \sqrt{400}$
Calculate Square Root: Calculate the square root of $400$ to find the distance. $\newline$ $\sqrt{400} = 20$