Question

Using the distance formula, d = √(x2 - x1)2 + (y2 - y1)2, what is the distance between point (-5, -2) and point (8, -3) rounded to the nearest tenth?

Answer 1

d ≈ 13.0

Explanation:

using the distance formula

d =
`\sqrt{(x_(2)-x_(1))^2+(y_(2)-y_(1))^2 }`

with (x₁, y₁ ) = (- 5, - 2 ) and (x₂, y₂ ) = (8, - 3 )

d =
`√((8-(-5))^2+(-3-(-2))^2)`

=
`√((8+5)^2+(-3+2)^2)`

=
`√(13^2+(-1)^2)`

=
`√(169+1)`

=
`√(170)`

≈ 13.0 ( to the nearest tenth )