Question

Find the disance between the points (7,-1) and (-2,4)

Answer 1

d ≈ 10.3 units

Explanation:

calculate the distance d using the distance formula

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

with (x₁, y₁ ) = (7, - 1 ) and (x₂, y₂ ) = (- 2, 4 )

substitute these values into the formula for d

d =
`√((-2-7)^2+(4-(-1))^2)`

=
`√((-9)^2+(4+1)^2)`

=
`√(81+5^2)`

=
`√(81+25)`

=
`√(106)`

≈ 10.3 units ( to 1 decimal place )