Question

5. Plot the point D (5, -4) on the coordinate grid. Find the distance between points C (12, 2) and D (5, -4). Round your answer to the nearest tenth.

Answer 1

`~~~~~~~~~~~~\textit{distance between 2 points} \\\\ C(\stackrel{x_1}{12}~,~\stackrel{y_1}{2})\qquad D(\stackrel{x_2}{5}~,~\stackrel{y_2}{-4})\qquad \qquad d = √(( x_2- x_1)^2 + ( y_2- y_1)^2) \\\\\\ CD=√((~~5 - 12~~)^2 + (~~-4 - 2~~)^2)\implies CD=√( (-7)^2 + (-6)^2) \\\\\\ CD=√( 49 + 36)\implies CD=√( 85 )\implies CD\approx 9.2`