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

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


   

Question 1085702: Point C(3.6, -0.4) divides in the ratio 3 : 2. If the coordinates of A are (-6, 5), the coordinates of point B are ___ . If point D divides in the ratio 4 : 5, the coordinates of point D are ___ .
Part 1 Answers:
(5,-4)
(5,-2)
(10,-4)
(10,-2)
Part 2 Answers
(62/9,-4)
(58/9,-4)
(62/9,-2)
(58/9,-2)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
So point C is 3/5 of the way from A to B.
x%5BA%5D%2B%283%2F5%29%28x%5BB%5D-x%5BA%5D%29=3.6
-6%2B%283%2F5%29%28x%5BB%5D%2B6%29=3.6
-30%2B3x%5BB%5D%2B18=18
3x%5BB%5D=30
x%5BB%5D=10
Similarly for y,
y%5BA%5D%2B%283%2F5%29%28y%5BB%5D-y%5BA%5D%29=-0.4
5%2B%283%2F5%29%28y%5BB%5D-5%29=-0.4
25%2B3y%5BB%5D-15=-2
3y%5BB%5D=-12
y%5BB%5D=-4
B:(10,-4)
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So D is then 4%2F%284%2B5%29=4%2F9 of the distance from A to B.
x%5BD%5D=x%5BA%5D%2B%284%2F9%29%28x%5BB%5D-x%5BA%5D%29
x%5BD%5D=+-6%2B%284%2F9%29%2810%2B6%29%29+
x%5BD%5D=-6%2B64%2F9
x%5BD%5D=-54%2F9%2B64%2F9
x%5BD%5D=10%2F9
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y%5BD%5D=y%5BA%5D%2B%284%2F9%29%28y%5BB%5D-y%5BA%5D%29
y%5BD%5D=5%2B%284%2F9%29%28-4-5%29
y%5BD%5D=5-4
y%5BD%5D=1
D:(10%2F9,1)
However this is not one of the choices.
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