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Natali [406]
3 years ago
5

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar.

Mathematics
2 answers:
IrinaVladis [17]3 years ago
4 0

Answer:  C= (3,2) and D=(2.2, 2.8)

Step-by-step explanation:

The coordinates of point P(x,y) divides a line segment having end points M{x_1,y_1} and N(x_2,y_2) in m:n will be :-

x=\dfrac{mx_2+nx_1}{m+n}\ ;\ y=\dfrac{my_2+ny_1}{m+n}

Given : The endpoints of AB are A(1,4) and B(6,-1).

If point C divides AB in the ratio 2 : 3, the coordinates of point C will be :-

x=\dfrac{2(6)+3(1)}{2+3}\ ;\ y=\dfrac{2(-1)+3(4)}{2+3}

Simplify,

\\\\\Rightarrow x=3\ y=2

Thus , coordinate of C= (3,2)

If point D divides AC in the ratio 3 : 2, the coordinates of point D will be :-

x=\dfrac{3(3)+2(1)}{3+2}\ ;\ y=\dfrac{3(2)+2(4)}{3+2}

Simplify,

\\\\\Rightarrow x=3\ y=2

Thus , coordinate of D= (2.2,2.8)

GrogVix [38]3 years ago
3 0

Answer:

I got F = (15/4 , -5/2) and  G = (-3/4 , -3)

Hope this helps ;)

Step-by-step explanation:

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