Question

Find the distance between the points to the nearest tenth.

A(-1, 5), B(0, 4) =1.4
C(-1, -1), D(6, 2)

Answer 1

1.4 and 7.6

Explanation:

calculate the distance d using the distance formula

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

let (x₁, y₁ ) = A(- 1, 5 ) and (x₂, y₂ ) = B(0, 4 )

substitute these values into the formula for d

d =
`√((0-(-1))^2+(4-5)^2)`

=
`√((0+1)^2+(-1)^2)`

=
`√(1^2+1)`

=
`√(1+1)`

=
`√(2)`

≈ 1.4 ( to the nearest tenth )

and

let (x₁, y₁ ) = C(- 1, - 1 ) and (x₂, y₂ ) = D(6, 2 )

substitute these values into the formula for d

d =
`√((6-(-1))^2+(2-(-1))^2)`

=
`√((6+1)^2+(2+1)^2)`

=
`√(7^2+3^2)`

=
`√(49+9)`

=
`√(58)`

≈ 7.6 ( to the nearest tenth )