Find the distance between the points.
-$( 5 , - 5 ) ( - 5 , - 7 )$
A) 8
B) 96
C) $2 \sqrt { 26 }$
D) $96 \sqrt { 6 }$

Question

Quizplus · Accepted Answer

The distance between two points $(x_1, y_1)$ and $(x_2, y_2)$ is given by the formula $\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$. Plugging in the given points $(5, -5)$ and $(-5, -7)$, we get $\sqrt{(-5 - 5)^2 + (-7 + 5)^2} = \sqrt{(-10)^2 + (-2)^2} = \sqrt{100 + 4} = \sqrt{104} = 2\sqrt{26}$.

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

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