Question

Calculate the distance between the points N=(-9,9) and H=(-3,2) in the coordinate plane.

Answer 1

`√(85)` 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 ) = N(- 9, 9) and (x₂, y₂ ) = H(- 3, 2)

d =
`√(-3+9)^2+(2-9)^2)`

=
`√(6^2+(-7)^2)`

=
`√(36+49)`

=
`√(85)`