Question #03e34

1 Answer
May 17, 2017

The answer is A.

Explanation:

Basically what you have is a segment or length from 4 to 8 ( the coordinates of the points E and F respectively.) Thus the length of the segment being 4. Moreover, since that length is divided into a ratio of 1:5 which means that the length of 4 is divided into 2 parts, one being 5 times the other. Because of that, the smaller piece can fit into the length 6 times and that's exactly how you get the length of that one piece. Mathematically this is much simpler :

4 = Piece A + Piece B,

where Piece A #= 5 *# Piece B .

Rearranging our 1st equation we get:

#4 = = 5 *# Piece B # + # Piece B.

Hence:

#6*#Piece B = 4

Piece B = #4/6 = 0.66...#

So point R has to have the coordinates given A),