Question

Find the distance between the two points, rounding to the nearest tenth (if necessary). (-8, 9) and (-6, 3). A) 6.3 units B) 7.2 units C) 8.1 units D) 9.0 units

Answer 1

A

Explanation:

calculate the distance d using the distance formula

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

let (x₁, y₁ ) = (- 8, 9 ) and (x₂, y₂ ) = (- 6, 3 )

substitute these values into the formula for d

d =
`√((-6-(-8))^2+(3-9)^2)`

=
`√((-6+8)^2+(-6)^2)`

=
`√(2^2+36)`

=
`√(4+36)`

=
`√(40)`

≈ 6.3 units ( to the nearest tenth )