Question

Which expressions could be used to find the dis-

tance between points (2, 8) and (7, 13) in the co-
ordinate plane?
Distance = √√(x₂-x₂)² + (x₂ - y₂)²
A (7-2)2 + (13-8)
B√√(7-13)²+(2-8)²
C√√(8-2)² + (13-7)²
D√√(2-8)²+(7-13)²

Answer 1

`~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{2}~,~\stackrel{y_1}{8})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{13})\qquad \qquad d = √(( x_2- x_1)^2 + ( y_2- y_1)^2) \\\\\\ {\Large \begin{array}{llll} d=√((~~7 - 2~~)^2 + (~~13 - 8~~)^2) \end{array}} \\\\\\ d=√(( 5 )^2 + ( 5 )^2) \implies d=√( 25 + 25 ) \implies d=√( 50 )`