SOLUTION: Point C(3.6, -0.4) divides AB in the ratio 3 : 2. If the coordinates of A are (-6, 5), the coordinates of point B are ___? If point D divides CB in the ratio 4 : 5, the coordinate

Algebra ->  Length-and-distance -> SOLUTION: Point C(3.6, -0.4) divides AB in the ratio 3 : 2. If the coordinates of A are (-6, 5), the coordinates of point B are ___? If point D divides CB in the ratio 4 : 5, the coordinate      Log On


   

Question 1071037: Point C(3.6, -0.4) divides AB in the ratio 3 : 2. If the coordinates of A are (-6, 5), the coordinates of point B are ___? If point D divides CB in the ratio 4 : 5, the coordinates of point D are ____?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
The ratio shows 3+2=5 parts.

Going from A to C taking 3 of these equal parts,
Uses a 3%2F5 point formula (that fraction instead of "midpoint" formula).

%28x-6%29%2F%283%2F5%29=3.6
x-6=%283%2F5%29%283.6%29
x=6%2B3%2A3.6%2F5
x=8.16
-
%28y%2B5%29%2F%283%2F5%29=-0.4
y%2B5=-0.4%283%2F5%29
y=-5-0.4%283%2F5%29
y=-5.24
-
The endpoint B is (8.16,-5.24).