Question

Find the distance between the points (-10, -2) and (-8, 0). Round to the nearest tenth.

Answer 1

d ≈ 2.8 units

Explanation:

calculate the distance d using the distance formula

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

let (x₁, y₁ ) = (- 10, - 2 ) and (x₂, y₂ ) = (- 8, 0 )

substitute these values into the formula for d

d =
`√((-8-(-10))^2+((0-(-2))^2)`

=
`√((-8+10)^2+(0+2)^2)`

=
`√(2^2+2^2)`

=
`√(4+4)`

=
`√(8)`

≈ 2.8 units ( to the nearest tenth )