Question

What’s the distance between the two points in simplest radical form R(-8,-3) and S(-1,-4)

Answer 1

5
`√(2)`

Explanation:

Calculate the distance d using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 8, - 3) and (x₂, y₂ ) = (- 1, - 4)

d =
`√((-1+8)^2+(-4+3)^2)`

=
`√(7^2+(-1)^2)`

=
`√(49+1)` =
`√(50)` =
`√(25(2))` = 5
`√(2)`