Find the distance between the points (3,10) and (3,2). ____ units

Calculate Coordinates Difference: Calculate the difference in the x-coordinates and y-coordinates of the two points. x1 = 3, x2 = 3; y1 = 10, y2 = 2. Δx = x2 - x1 = 3 - 3 = 0 Δy = y2 - y1 = 2 - 10 = -8Apply Distance Formula: Apply the distance formula: distance = sqrt((Δx)^2 + (Δy)^2). distance = sqrt((0)^2 + (-8)^2) distance = sqrt(0 + 64) distance = sqrt(64) distance = 8

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Find the distance between the points $(3,10)$ and $(3,2)$ . $\newline$ $\_\_\_\_$ units

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Q. Find the distance between the points

(3,10)

and

(3,2)

\newline

\_\_\_\_

units

Calculate Coordinates Difference: Calculate the difference in the x-coordinates and y-coordinates of the two points. $\newline$ $x_1 = 3$ , $x_2 = 3$ ; $y_1 = 10$ , $y_2 = 2$ . $\newline$ $\Delta x = x_2 - x_1 = 3 - 3 = 0$ $\newline$ $\Delta y = y_2 - y_1 = 2 - 10 = -8$
Apply Distance Formula: Apply the distance formula: $\text{distance} = \sqrt{(\Delta x)^2 + (\Delta y)^2}$ . $\newline$ $\text{distance} = \sqrt{(0)^2 + (-8)^2}$ $\newline$ $\text{distance} = \sqrt{0 + 64}$ $\newline$ $\text{distance} = \sqrt{64}$ $\newline$ $\text{distance} = 8$