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Oksana_A [137]
3 years ago
14

given G (1,2) and K(8,12) what does it mean to find the point P on line GK such that 3 (GP) = 2 (PK)?

Mathematics
2 answers:
laila [671]3 years ago
8 0

Answer:

The coordinates of point P is (3.8,6)

Step-by-step explanation:

We are given that 3 (GP) = 2 (PK)

So, \frac{GP}{PK}=\frac{2}{3}  ---A

P is the point of line GK which divides line in two parts GP and Pk

By A we can say that P divides the line in ratio 2:3

To find the coordinates of point P , we will use section formula.

Formula : x=\frac{mx_2+nx_1}{m+n} , y=\frac{my_2+ny_1}{m+n}

m:n = 2:3

G =(x_1,y_1)=(1,2)

K =(x_2,y_2)=(8,12)

Substitute the values in the formula

x=\frac{mx_2+nx_1}{m+n} , y=\frac{my_2+ny_1}{m+n}

x=\frac{2(8)+3(1)}{2+3}, y=\frac{2(12)+3(2)}{2+3}

x=3.8  , y=6

Hence the coordinates of point P is (3.8,6) .

Agata [3.3K]3 years ago
3 0
I need this too! did you find anything?
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