Question

Find the distance between Point A and Point B. Enter your answer in the box.

51Y
4
-3
2
1
0
X
0 1 2 3 4 5
10
A

Answer 1

Check the picture below.

`~~~~~~~~~~~~\textit{distance between 2 points} \\\\ A(\stackrel{x_1}{2}~,~\stackrel{y_1}{1})\qquad B(\stackrel{x_2}{5}~,~\stackrel{y_2}{5})\qquad \qquad d = √(( x_2- x_1)^2 + ( y_2- y_1)^2) \\\\\\ AB=√((~~5 - 2~~)^2 + (~~5 - 1~~)^2) \implies AB=√(( 3 )^2 + ( 4 )^2) \\\\\\ AB=√( 9 + 16 ) \implies AB=√( 25 )\implies AB=5`