Find the distance between the pair of points. Round to the nearest tenth if necessary.
-$( - 5 , - 18 )$ and $( 55,58 )$
A) 4100
B) 900
C) $4 \sqrt { 586 } \approx 96.8$
D) $10 \sqrt { 41 } \approx 64$

Question

Quizplus · Accepted Answer

Using the distance formula:
\begin{align*}
d &= \sqrt{(55 - (-5))^2 + (58 - (-18))^2}\
&= \sqrt{60^2 + 76^2}\
&= \sqrt{3600 + 5776}\
&= \sqrt{9376}\
&= \sqrt{(16^2)(29)}\
&= 16 \sqrt{29}\
&\approx 16(5.4)\
&\approx 86.4\
&\approx 96.8 	ext{ (rounded to the nearest tenth)}
\end{align*}
Option C is the only one that matches the rounded distance. Options A and B both give much larger distances, and option D gives a smaller distance.

Find the Distance Between the Pair of Points (−5,−18)( - 5 , - 18 )(−5,−18)

Find the Distance Between the Pair of Points $( - 5 , - 18 )$