Question

find the distance between the pair of points.

\\((-4, -12)\\) and \\((-15, -19)\\)

the distance is \\(\square\\).
(round to the nearest thousandth as needed.)

Explanation:

Apply the distance formula

$$ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} $$

$$ d = \sqrt{(-15 - (-4))^2 + (-19 - (-12))^2} $$

Simplify the expression

$$ d = \sqrt{(-11)^2 + (-7)^2} $$

$$ d = \sqrt{121 + 49} $$

$$ d = \sqrt{170} $$

Calculate decimal value

$$ d \approx 13.0384048... $$

$$ d \approx 13.038 $$

Answer:

Find the distance between the pair of points.
\((-4, -12)\) and \((-15, -19)\)

The distance is <blank>13.038</blank>.
(Round to the nearest thousandth as needed.)