Question

Can somebody help me with this?

Answer 1

the distance between P and Q is ≈ 6.2 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 ) = P (1, 5 ) and (x₂, y₂ ) = Q (5.5, 9.25 )

d =
`√((5.5-1)^2+(9.25-5)^2)`

=
`√((4.5)^2+(4.25)^2)`

=
`√(20.25+18.0625)`

=
`√(38.3125)`

≈ 6.2 ( to the nearest tenth )