Mathematics: Compute the distance between (5, –2) and (–8, –3)

Compute the distance between (5, –2) and (–8, –3)

RayeK168

08.01.2022

$\large\boxed{\sqrt{170}\approx13.04}$

Step-by-step explanation:

The formula of a distance between two points:

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

We have

$(5,\ -2)\to x_1=5,\ y_1=-2\\(-8,\ -3)\to x_2=-8,\ y_2=-3$

Substitute:

$d=\sqrt{(-8-5)^2+(-3-(-2))^2}=\sqrt{(-13)^2+(-1)^2}=\sqrt{169+1}=\sqrt{170}$

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sarn8899

15.05.2020

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