Answer:
P = (4.8, 11)
Step-by-step explanation:
P = 3R + 2W
RP + PW
= 3(4,5) + 2(6,20)
2 + 3
= (12,15) + (12,40)
5
= (24,55) = (4.8, 11)
5
Line segment RW has endpoints R(4, 5) and W(6, 20). Point P is
on RW such that RP: PW is 2:3. the coordinates of point P would be (0, 11).
Suppose that there is a line segment {AB} such that a point P(x,y) lying on that line segment{AB} divides the line segment {AB} in m:n, then, the coordinates of the point P is given by:
[tex](x,y) = \left( \dfrac{mx_2 + nx_1}{m+n} , \dfrac{my_2 + ny_1}{m+n} \right)[/tex]
where we have:
the coordinate of A is (x_1, y_1)
and the coordinate of B is (x_2, y_2)
Line segment RW has endpoints R(4, 5) and W(6, 20). Point P is
on RW such that RP: PW is 2:3.
[tex](x,y) = \left( \dfrac{2(6) + 3(-4)}{2+3} , \dfrac{2(20) + 3(5)}{2+3} \right)\\\\(x,y) = \left( \dfrac{12- 12}{5} , \dfrac{40+15}{5} \right)\\\\(x,y) = \left( \dfrac{0}{5} , \dfrac{55}{5} \right)\\\\(x,y) = (0, 11)[/tex]
Learn more about a point dividing a line segment in a ratio here:
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