Question

Which expression shows the simplified form of the distance between A(0,4) and B(6,-5)?

A) 3√3
B) √117
C) √13
D) 9√14

Answer 1

B

Explanation:

calculate the distance d using the distance formula

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

with (x₁, y₁ ) = A (0, 4 ) and (x₂, y₂ ) = B (6, - 5 )

d =
`√((6-0)^2+(-5-4)^2)`

=
`√(6^2+(-9)^2)`

=
`√(36+81)`

=
`√(117)`