Question

Quick please!!

What’s the distance between the following points?

Answer 1

6
`√(2)` ≈ 8.49 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 ) = (2, - 3 ) and (x₂, y₂ ) = ( 8, - 9 )

d =
`√((8-2)^2+(-9-(-3))^2)`

=
`√(6^2+(-9+3)^2)`

=
`√(36+(-6)^2)`

=
`√(36+36)`

=
`√(72)`

=
`√(36(2))`

=
`√(36)` ×
`√(2)`

= 6
`√(2)` units ← exact length

≈ 8.49 units ( to 2 dec. places )

Answer 2

answer is 6^2 × 6^2 = squate root 72

distance equals 8.485