Question

Calculate the distance between the points (4,0) and (-1,7) in the coordinate plane

Answer 1

d ≈ 8.6

Explanation:

calculate the distance d using the distance formula

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

let (x₁, y₁ ) = (4, 0 ) and (x₂, y₂ ) = (- 1, 7 )

substitute these values into the formula for d

d =
`√((- 1-4)^2+(7-0)^2)`

=
`√((-5)^2+7^2)`

=
`√(25+49)`

=
`√(74)`

≈ 8.6 ( to 1 decimal place )