Question

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

Answer 1

13.04

Explanation:

Answer 2

`\large\boxed{√(170)\approx13.04}`

Explanation:

The formula of a distance between two points:

`d=√((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=√((-8-5)^2+(-3-(-2))^2)=√((-13)^2+(-1)^2)=√(169+1)=√(170)`