Question

Distance between points (-4,4) and (4,-2)

Answer 1

10 units

Explanation:

calculate the distance using the distance formula

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

with (x₁, y₁ ) = (- 4, 4 ) and (x₂, y₂ ) = (4, - 2 )

d =
`√((4-(-4))^2+(-2-4)^2)`

=
`√((4+4)^2+(-6)^2)`

=
`√(8^2+36)`

=
`√(64+36)`

=
`√(100)`

= 10