410,278 views
31 votes
31 votes
Two points are located on a four quadrant graph. The distance between the two is currently unknown. How many units separate the coordinates ( -5, 8 ) and ( 2, -2 )

User Dave Brunker
by
2.9k points

1 Answer

17 votes
17 votes

The distance between two points is given by the following expression,


c=\sqrt[]{(x_a-x_b)^2+\mleft(y_a-y_b\mright)^2}

Being (Xa,Ya) and (Xb,Yb) the two pair of coordinates. c is the distance between them.


\begin{gathered} c=\sqrt[]{(-5-2)^2+(8-(-2))^2} \\ c=\sqrt[]{49+100} \\ c=\sqrt[]{149} \\ c=12.20\text{ units} \end{gathered}

Answer: 12.20 units separate the coordinates.

User Sandeepsure
by
2.8k points