Find the distance between the pair of points. Where appropriate, give an approximation to three decimal places.
-$(-56,46)$ and $(-63,-36)$
A) $\sqrt{6773} \approx 82.298$
B) $\sqrt{14,261} \approx 119.419$
C) 14,261
D) 14,061

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 $\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$. For the points $(-56,46)$ and $(-63,-36)$, the distance is $\sqrt{(-63 + 56)^2 + (-36 - 46)^2} = \sqrt{49 + 6724} = \sqrt{6773}$, which approximates to 82.298.

Find the Distance Between the Pair of Points (−56,46)(-56,46)(−56,46) And (−63,−36)(-63,-36)(−63,−36) A) 6773≈82.298\sqrt{6773} \approx 82.2986773​≈82.298

Find the Distance Between the Pair of Points $(-56,46)$ And $(-63,-36)$ A) $\sqrt{6773} \approx 82.298$