Find the distance between the points (9,10) and (9,5). ____ units

Identify Formula: Step 1: Identify the formula to calculate the distance between two points. Use the distance formula: sqrt((x_2-x_1)^2 + (y_2-y_1)^2). Here, (x_1, y_1) = (9, 10) and (x_2, y_2) = (9, 5).Substitute Coordinates: Step 2: Substitute the coordinates into the formula. Calculate x_2 - x_1: 9 - 9 = 0. Calculate y_2 - y_1: 10 - 5 = 5. Distance: sqrt((0)^2 + (5)^2).Simplify Expression: Step 3: Simplify the expression inside the square root. Calculate (0)^2: 0. Calculate (5)^2: 25. So, sqrt(0 + 25).Calculate Square Root: Step 4: Calculate the square root. sqrt(25) = 5.

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Find the distance between the points $(9,10)$ and $(9,5)$ . $\newline$ $\_\_\_\_$ units

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Algebra 1

Distance between two points

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Q. Find the distance between the points

(9,10)

and

(9,5)

\newline

\_\_\_\_

units

Identify Formula: Step $1$ : Identify the formula to calculate the distance between two points. $\newline$ Use the distance formula: $\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$ . $\newline$ Here, $(x_1, y_1) = (9, 10)$ and $(x_2, y_2) = (9, 5)$ .
Substitute Coordinates: Step $2$ : Substitute the coordinates into the formula. $\newline$ Calculate $x_2 - x_1$ : $9 - 9 = 0$ . $\newline$ Calculate $y_2 - y_1$ : $10 - 5 = 5$ . $\newline$ Distance: $\sqrt{(0)^2 + (5)^2}$ .
Simplify Expression: Step $3$ : Simplify the expression inside the square root. $\newline$ Calculate $(0)^2$ : $0$ . $\newline$ Calculate $(5)^2$ : $25$ . $\newline$ So, $\sqrt{0 + 25}$ .
Calculate Square Root: Step $4$ : Calculate the square root. $\sqrt{25} = 5$ .