Question

Find the distance between the two points in the simplest radical form (9,-8) and (3,0)

Answer 1

d = 10 units

Explanation:

calculate the distance d using the distance formula

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

let (x₁, y₁ ) = (3, 0 ) and (x₂, y₂ ) = (9, - 8 )

substitute these values into the formula for d

d =
`√((9-3)^2+(-8-0)^2)`

=
`√(6^2+(-8)^2)`

=
`√(36+64)`

=
`√(100)`

= 10 units