Question

Calculate the distance between the points L=(1, -8) and C=(9, -3) in the coordinate plane.

Round your answer to the nearest hundredth.
kintett. 41
Distance:

Answer 1

`~~~~~~~~~~~~\textit{distance between 2 points} \\\\ L(\stackrel{x_1}{1}~,~\stackrel{y_1}{-8})\qquad C(\stackrel{x_2}{9}~,~\stackrel{y_2}{-3})\qquad \qquad d = √(( x_2- x_1)^2 + ( y_2- y_1)^2) \\\\\\ LC=√((~~9 - 1~~)^2 + (~~-3 - (-8)~~)^2) \implies LC=√((9 -1)^2 + (-3 +8)^2) \\\\\\ LC=√(( 8 )^2 + ( 5 )^2) \implies LC=√( 64 + 25 ) \implies LC=√( 89 )\implies LC\approx 9.43`