Question

Distance between each pair X(-3,-2) and T(-6,5)

Answer 1

XT ≈ 7.62 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 ) = X (- 3, - 2 ) and (x₂, y₂ ) = T (- 6, 5 )

substitute these values into the formula for d

d =
`√((-6-(-3))^2+(5-(-2))^2)`

=
`√((-6+3)^2+(5+2)^2)`

=
`√((-3)^2+7^2)`

=
`√(9+49)`

=
`√(58)`

≈ 7.62 ( to 2 decimal places )