SOLUTION: Point R divides EFŻŻŻŻŻ in the ratio 1 : 5. If the coordinates of E and F are (4, 8) and (11, 4), respectively, what are the coordinates of R to two decimal places?

Algebra ->  Parallelograms -> SOLUTION: Point R divides EFŻŻŻŻŻ in the ratio 1 : 5. If the coordinates of E and F are (4, 8) and (11, 4), respectively, what are the coordinates of R to two decimal places?      Log On


   

Question 947263: Point R divides EFŻŻŻŻŻ in the ratio 1 : 5. If the coordinates of E and F are (4, 8) and
(11, 4), respectively, what are the coordinates of R to two decimal places?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
So then point R is 1%2F%281%2B5%29=1%2F6 of the way from E to F.
The distance in x from E to F is 7.
So 7%2F6 from E is 4%2B7%2F6=24%2F6%2B7%2F6=31%2F6
The distance in y from E to F is -4.
So -4%2F6=-2%2F3 from E is 8-2%2F3=24%2F3-2%2F3=22%2F3
So then
R=(31%2F6,22%2F3)
You can work it out to 2 decimal places.