Question

9. Find the distance between (12,-10) and (0,-6).

a
5√5
b 3√7
c 4√/10
d 2√/13

Answer 1

C

Explanation:

calculate the distance d using the distance formula

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

with (x₁, y₁ ) = (12, - 10 ) and (x₂, y₂ ) = (0, - 6 )

d =
`√((0-12)^2+(- 6-(-10))^2)`

=
`√((-12)^2+(-6+10)^2)`

=
`√(144+4^2)`

=
`√(144+16)`

=
`√(160)`

=
`√(16(10))`

=
`√(16)` ×
`√(10)`

= 4
`√(10)`