Find the distance between the points (5, - 7) and (- 6, - 3). Round to three significant digits.
A) 10.2
B) 11.7
C) 10.0
D) 14.9

Question

Quizplus · Accepted Answer

The distance between two points $(x_1, y_1)$ and $(x_2, y_2)$ is given by the formula $\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$. Substituting the given points (5, -7) and (-6, -3) into the formula, we get $\sqrt{(-6 - 5)^2 + (-3 + 7)^2} = \sqrt{(-11)^2 + (4)^2} = \sqrt{121 + 16} = \sqrt{137} \approx 11.7$.

Find the Distance Between the Points (5, - 7) and (-