Question

What is the distance between points R (5, 7) and S(-2,3)?

Answer 1

d ≈ 8.1

Explanation:

calculate the distance d using the distance formula

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

with (x₁, y₁ ) = R (5, 7 ) and (x₂, y₂ ) = S (- 2, 3 )

d =
`√((-2-5)^2+(3-7)^2)`

=
`√((-7)^2+(-4)^2)`

=
`√(49+16)`

=
`√(65)`

≈ 8.1 ( to 1 decimal place )