What is the distance between $(- 9, 0)$ $(-9,0)$ and $(5, 2)$ $(5,2)$ ?

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Answer 1 · 2016-01-03T18:48:25

distance $= \sqrt{200}$ $=color(blue)(sqrt(200$

$(- 9, 0) = x_{1}, y_{1}$ $(-9,0) = color(blue)(x_1,y_1$

$(5, 2) = x_{2}, y_{2}$ $(5,2) = color(blue)(x_2, y_2$

Distance is calculated using formula:

distance $= \sqrt{{(x_{2} - x_{1})}_{2}^{2} + {(y_{2} - y_{1})}_{2}^{2}}$ $=sqrt((x_2-x_1)^2 + (y_2-y_1)^2$

$= \sqrt{{(5 - (- 9))}^{2} + {(2 - 0)}^{2}}$ $=sqrt((5-(-9))^2 + (2-0)^2$

$= \sqrt{{(5 + 9)}^{2} + {(2)}^{2}}$ $=sqrt((5+9)^2 + (2)^2$

$= \sqrt{{(14)}^{2} + {(2)}^{2}}$ $=sqrt((14)^2 + (2)^2$

$= \sqrt{196 + 4}$ $=sqrt(196 + 4$

$= \sqrt{200}$ $=color(blue)(sqrt(200$

What is the distance between (−9,0) (-9,0) and (5,2) (5,2) ?