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Find the distance between the points $(9,9)$ and $(9,2)$ . $\newline$ ____ units

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Distance between two points

Full solution

Q. Find the distance between the points

(9,9)

and

(9,2)

.

\newline

____ units

Apply distance formula: Step $1$ : Apply the distance formula $\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$ . Here, $(x_1, y_1) = (9, 9)$ and $(x_2, y_2) = (9, 2)$ .
Calculate $(9-9)^2$ : Step $2$ : Calculate $(9-9)^2$ . $(9-9)^2$ $= (0)^2$ $= 0$
Calculate $(2-9)^2$ : Step $3$ : Calculate $(2-9)^2$ . $(2-9)^2$ $= (-7)^2$ $= 49$
Calculate $\sqrt{0 + 49}$ : Step $4$ : Calculate $\sqrt{0 + 49}$ . $\newline$ $\sqrt{49}$ $\newline$ = $7$

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