Question

Find the distance between L(3, 7) and M(−2, 8). If necessary, round the answer to the nearest tenth.

Answer 1

d ≈ 5.1

Explanation:

calculate the distance d using the distance formula

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

with (x₁, y₁ ) = L (3, 7 ) and (x₂, y₂ ) = M (- 2, 8 )

d =
`\sqrt{(-2-3)^2+(8-7)^2`

=
`√((-5)^2+1^2)`

=
`√(25+1)`

=
`√(26)`

≈ 5.1 ( to the nearest tenth )