Question

Calculate the distance between the points C = (-5, 9) and G=(-2, 4) in the coordinate plane.

Give an exact answer (not a decimal approximation).

Answer 1

`~~~~~~~~~~~~\textit{distance between 2 points} \\\\ C(\stackrel{x_1}{-5}~,~\stackrel{y_1}{9})\qquad G(\stackrel{x_2}{-2}~,~\stackrel{y_2}{4})\qquad \qquad d = √(( x_2- x_1)^2 + ( y_2- y_1)^2) \\\\\\ CG=√([-2 - (-5)]^2 + [4 - 9]^2)\implies CG=√((-2+5)^2+(-5)^2) \\\\\\ CG=√(3^2 +(-5)^2)\implies CG=√(34)`