Mathematics

Question

(1) 1 UU
15. Line segment RW has endpoints R(4, 5) and W6, 20). Point P is
on RW such that RP:PW is 2:3. What are the coordinates of point P?
(1) (2,9) (2) (0, 11) (3) (2, 14) (4) (10,2)
14​

2 Answer

  • 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).

    What is the coordinate of the point which divides a line segment in a specified ratio?

    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:

    https://brainly.com/question/14186383

    #SPJ2

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