What is the distance between the points $(9.4, 2.5)$ $(9.4, 2.5)$ and $(- 3.2, 8.6)$ $(-3.2, 8.6)$ ?

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Answer 1 · 2016-11-06T21:16:20

The distance is $\approx 14$ $~~ 14$

The distance, d, between two points is:

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

Using the two given points:

$d = \sqrt{{(- 3.2 - 9.4)}^{2} + {(8.6 - 2.5)}^{2}}$ $d =sqrt((-3.2 - 9.4)^2 + (8.6 - 2.5)^2)$

$d = \sqrt{{(- 12.6)}^{2} + {(6.1)}^{2}}$ $d =sqrt((-12.6)^2 + (6.1)^2)$

$d = \sqrt{158.76 + 37.21}$ $d =sqrt(158.76+ 37.21)$

$d = \sqrt{195.97}$ $d = sqrt(195.97)$

$d \approx 14$ $d~~ 14$

What is the distance between the points (9.4,2.5)(9.4, 2.5) and (−3.2,8.6)(-3.2, 8.6)?