What is the distance between $(- 4, 6)$ $(-4, 6)$ and $(5, - 3)$ $(5,-3)$ ?

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Answer 1 · 2018-06-20T14:18:58

$9 \sqrt{2} \approx 12.73$ $9 sqrt(2)~~12.73$

Given: $(- 4, 6), (5, - 3)$ $(-4, 6), (5, -3)$ . Find the distance.

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

$d = \sqrt{{(6 - - 3)}^{2} + {(- 4 - 5)}^{2}}$ $d = sqrt((6 - -3)^2 + (-4 - 5)^2)$

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

$d = \sqrt{81 + 81} = \sqrt{162} = \sqrt{2} \cdot \sqrt{81} = 9 \sqrt{2}$ $d = sqrt(81 + 81) = sqrt(162) = sqrt(2)*sqrt(81) = 9 sqrt(2)$

What is the distance between (-4, 6)(−4,6)(-4, 6) and (5,-3) (5,−3) (5,-3) ?