What is the distance between $(2,-14)$ and $(-9,5)$ ?

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What is the distance between $(2,-14)$ and $(-9,5)$ ?

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Answer 1 · 2015-12-29T02:19:43

$sqrt(482)$

Explanation:

The distance formula for Cartesian coordinates is

$d=sqrt((x_2-x_1)^2+(y_2-y_1)^2$
Where $x_1, y_1$ , and $x_2, y_2$ are the Cartesian coordinates of two points respectively.
Let $(x_1,y_1)$ represent $(2,-14)$ and $(x_2,y_2)$ represent $(-9,5)$ .
$implies d=sqrt((-9-2)^2+(5-(-14))^2$
$implies d=sqrt((-11)^2+(5+14)^2$
$implies d=sqrt((-11)^2+(19)^2$
$implies d=sqrt(121+361)$
$implies d=sqrt(482)$

Hence the distance between the given points is $sqrt(482)$ .

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What is the distance between $(2,-14)$ and $(-9,5)$ ?

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