What is the distance between $(2, - 4)$ $(2,-4)$ and $(0, 6)$ $(0,6)$ ?

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What is the distance between $(2, - 4)$ $(2,-4)$ and $(0, 6)$ $(0,6)$ ?

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Answer 1 · 2018-04-15T19:55:31

$\sqrt{104} \approx 10.198 to 3 dec. places$ $sqrt104~~10.198" to 3 dec. places"$

Explanation:

$calculate the distance using the distance formula$ $"calculate the distance using the "color(blue)"distance formula"$

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

$let (x_{1}, y_{1}) = (2, - 4) and (x_{2}, y_{2}) = (0, 6)$ $"let "(x_1,y_1)=(2,-4)" and "(x_2,y_2)=(0,6)$

$d = \sqrt{{(0 - 2)}^{2} + {(6 + 4)}^{2}} = \sqrt{104} \approx 10.198$ $d=sqrt((0-2)^2+(6+4)^2)=sqrt104~~10.198$

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What is the distance between $(2, - 4)$ $(2,-4)$ and $(0, 6)$ $(0,6)$ ?

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What is the distance between (2,−4)(2,-4) and (0,6)(0,6)?

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What is the distance between $(2, - 4)$ $(2,-4)$ and $(0, 6)$ $(0,6)$ ?