Question

What is the distance between points A and C?

3.3 units
3.6 units
5.2 units
7.8 units

Answer 1

AC ≈ 7.8 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 ) = A (- 4, - 4 ) and (x₂, y₂ ) = C (2, 1 )

AC =
`√((2-(-4))^2+(1-(-4))^2)`

=
`√((2+4)^2+(1+4)^2)`

=
`√(6^2+5^2)`

=
`√(36+25)`

=
`√(61)`

≈ 7.8 ( to 1 dec. place )