What is the distance between (5,-3) and (0,9)?

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What is the distance between (5,-3) and (0,9)?

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Answer 1 · 2016-02-19T14:09:35

13 units

Explanation:

To calculate the distance between 2 points use the $distance formula$ $color(blue)(" distance formula "$

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

where $(x_{1}, y_{1}), (x_{2}, y_{2}) are the coords of the 2 points$ $(x_1,y_1) , (x_2,y_2) " are the coords of the 2 points "$

here , let $(x_{1}, y_{1}) = (5, - 3) and (x_{2}, y_{2}) = (0, 9)$ $(x_1,y_1) = (5,-3) " and " (x_2,y_2) = (0,9)$

hence d $= \sqrt{{(0 - 5)}^{2} + {(9 - (- 3))}^{2}} = \sqrt{25 + 144} = \sqrt{169} = 13$ $= sqrt((0-5)^2 + (9-(-3))^2) = sqrt(25 + 144) = sqrt169 = 13$

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What is the distance between (5,-3) and (0,9)?

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