Question

What is the distance from (-3,8) and (13,-6)?

Answer 1

The distance is 21.3

Explanation:

The solution is in the attached image

Answer 2

d ≈ 21.26 units

Explanation:

calculate the distance d using the distance formula

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

with (x₁, y₁ ) = (- 3, 8 ) and (x₂, y₂ ) = (13 - 6 )

d =
`√(13-(-3))^2+(-6-8)^2)`

=
`√((13+3)^2+(-14)^2)`

=
`√(16^2+196)`

=
`√(256+196)`

=
`√(452)`

≈ 21.26 units ( to 2 dec. places )