Find the exact distance between the points.
-(-9, 4) and (-5, -6)
A) 116
B) 200
C) $10 \sqrt { 2 }$
D) $2 \sqrt { 29 }$

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 (-9, 4) and (-5, -6) into the formula gives $\sqrt{(-5 + 9)^2 + (-6 - 4)^2} = \sqrt{(4)^2 + (-10)^2} = \sqrt{16 + 100} = \sqrt{116} = 2\sqrt{29}$.

Find the Exact Distance Between the Points 10210 \sqrt { 2 }102​

Find the Exact Distance Between the Points $10 \sqrt { 2 }$