Question

Find the distance between the points (-1,-5) and (-10,7).

Write your answer as a whole number or a fully simplified radical expression. Do not round.

___ Units

Answer 1

15 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 ) = (- 1, - 5) and (x₂, y₂ ) = (- 10, 7)

d =
`√((-10+1)^2+(7+5)^2)`

=
`√((-9)^2+12^2)`

=
`√(81+144)`

=
`√(225)`

= 15 units