Question

Calculate the distance between the points n(1,-1) and q (6,-9)

Answer 1

d =
`√(89)` ≈ 9.43

Explanation:

calculate the distance d using the distance formula

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

with (x₁, y₁ ) = n(1, - 1 ) and (x₂, y₂ ) = q(6, - 9 )

d =
`√((6-1)^2+(- 9-(-1))^2)`

=
`√(5^2+(- 9+1)^2)`

=
`√(25+(-8)^2)`

=
`√(25+64)`

=
`√(89)`

≈ 9.43 ( to 2 decimal places )