Find the distance between the pair of points. Round to the nearest thousandth.
-(-4, -3.9)and (-9, 9.3)
A)18.3
B)14.115
C)199.24
D)14.077

Question

Quizplus · Accepted Answer

The distance between two points $(x_1, y_1)$ and $(x_2, y_2)$ in a plane is given by the formula $\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$. Plugging in the given points $(-4, -3.9)$ and $(-9, 9.3)$, we get $\sqrt{(-9 + 4)^2 + (9.3 + 3.9)^2} = \sqrt{25 + 13.2^2} = \sqrt{25 + 174.24} = \sqrt{199.24}$, which rounds to approximately 14.115.

Find the Distance Between the Pair of Points