Question

Find the distance between the two points rounding to the nearest tenth (if necessary).

(9,−5) and (0,−9)

Answer 1

d ≈ 9.8 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 ) = (9, - 5 ) and (x₂, y₂ ) = (0, - 9 )

d =
`√((0-9)^2+(-9-(-5))^2)`

=
`√((-9)^2+(-9+5)^2)`

=
`√(81+(-4)^2)`

=
`√(81+16)`

=
`√(97)`

≈ 9.8 units ( to the nearest tenth )