What is the distance between $(88, - 8)$ $(88,-8)$ and $(74, 2)$ $(74,2)$ ?

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What is the distance between $(88, - 8)$ $(88,-8)$ and $(74, 2)$ $(74,2)$ ?

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Answer 1 · 2018-04-28T07:27:10

$2 \sqrt{74} \approx 17.2$ $2sqrt(74)~~17.2$

Explanation:

$d = \sqrt{{(x_{1} - x_{2})}_{1}^{2} + {(y_{1} - y_{2})}_{1}^{2}}$ $d=sqrt((x_1-x_2)^2+(y_1-y_2)^2)$
$d = \sqrt{14^{2} + {(- 10)}^{2}}$ $d=sqrt(14^2+(-10)^2)$
$d = \sqrt{296} = 2 \sqrt{74} \approx 17.2$ $d=sqrt(296)=2sqrt(74)~~17.2$

Answer 2 · 2018-04-28T07:29:09

$\sqrt{296} \approx 17.2 to 1 dec. place$ $sqrt296~~17.2" to 1 dec. place"$

Explanation:

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

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

$let (x_{1}, y_{1}) = (88, - 8) and (x_{2}, y_{2}) = (74, 2)$ $"let "(x_1,y_1)=(88,-8)" and "(x_2,y_2)=(74,2)$

$d = \sqrt{{(74 - 88)}^{2} + {(2 + 8)}^{2}}$ $d=sqrt((74-88)^2+(2+8)^2)$

$d = \sqrt{196 + 100} = \sqrt{296} \approx 17.2$ $color(white)(d)=sqrt(196+100)=sqrt296~~17.2$

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What is the distance between $(88, - 8)$ $(88,-8)$ and $(74, 2)$ $(74,2)$ ?

2 Answers

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What is the distance between (88,−8)(88,-8) and (74,2)(74,2)?

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What is the distance between $(88, - 8)$ $(88,-8)$ and $(74, 2)$ $(74,2)$ ?