Question

M is the midpoint of CF for the points of C(4,2) and F(6,10). Find MF

Answer 1

Answer: (5,4.95)

Step-by-step explanation: go to desmos

Type in a=(4,2) hit enter in the next box hit b=(6,10) hit enter again. Then in the third box it should say midpoint (a,b) press where it says label and it will give you your answer

Answer 2

`\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ C(\stackrel{x_1}{4}~,~\stackrel{y_1}{2})\qquad F(\stackrel{x_2}{6}~,~\stackrel{y_2}{10}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ M = \left( \cfrac{6+4}{2}~~,~~\cfrac{10+2}{2} \right)\implies M=(5,6) \\\\[-0.35em] ~\dotfill`

`\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ M(\stackrel{x_1}{5}~,~\stackrel{y_1}{6})\qquad F(\stackrel{x_2}{6}~,~\stackrel{y_2}{10})\qquad \qquad d = √(( x_2- x_1)^2 + ( y_2- y_1)^2) \\\\\\ MF = √((6-5)^2+(10-6)^2)\implies MF=√(1^2+4^2) \\\\\\ MF=√(17)\implies MF \approx 4.12`