Question

Find the length of AB

Answer 1

`D:\:about\:9.4\:units`

Explanation:

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

`AB =`
`√((9-4)^2+(10-2)^2)`

`=√(5^2+8^2)`

`=√(25+64)`

`=√(89)`

`9.4\:\:units\:`

Answer 2

D

Explanation:

calculate AB using the distance formula

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

with (x₁, y₁ ) = A (4, 2 ) and (x₂, y₂ ) = B (9, 10 )

AB =
`√((9-4)^2+(10-2)^2)`

=
`√(5^2+8^2)`

=
`√(25+64)`

=
`√(89)`

≈ 9.4 units ( to 1 dec. place )