Question

Find the distance between the following pair of points. Round to the nearest hundredth. (Lesson 1-3)

E(-3,-12), F(5,4)

Answer 1

d ≈ 17.89

Explanation:

calculate the distance d using the distance formula

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

with (x₁, y₁ ) = E (- 3, - 12 ) and (x₂, y₂ ) = F (5, 4 )

d =
`√((5-(-3)^2+(4-(-12))^2)`

=
`√((5+3)^2+(4+12)^2)`

=
`√(8^2+16^2)`

=
`√(64+256)`

=
`√(320)`

≈ 17.89 ( to the nearest hundredth )