Question

Point A(2, 2) and point B(4,-3) are located on the grid. Which measurement is closest to the distance between point A and point B in units? ) A) B) ) D) 5.2 units 5.4 units 5.6 units 5.8 units​

Answer 1

`~~~~~~~~~~~~\textit{distance between 2 points} \\\\ A(\stackrel{x_1}{2}~,~\stackrel{y_1}{2})\qquad B(\stackrel{x_2}{4}~,~\stackrel{y_2}{-3})\qquad \qquad d = √(( x_2- x_1)^2 + ( y_2- y_1)^2) \\\\\\ AB=√((~~4 - 2~~)^2 + (~~-3 - 2~~)^2) \implies AB=√(( 2 )^2 + ( -5 )^2) \\\\\\ AB=√( 4 + 25 ) \implies AB=√( 29 )\implies \boxed{AB\approx 5.4}`