The points A(-3, -4) and B(5, 0) form a line segment. Find the coordinates of the point P that partitions segment AB in a 2:3 ratio.

Question

The points A(-3, -4) and B(5, 0) form a line segment. Find the coordinates of the point P that partitions segment AB in a 2:3 ratio.

in progress 0
Khang Minh 3 years 2021-08-16T01:16:39+00:00 1 Answers 158 views 0

Answers ( )

  1. Nick
    0
    2021-08-16T01:18:17+00:00
    Reply

    Answer:

    Step-by-step explanation:

    let the coordinates of P be (x,y)

    x=\frac{mx2+nx1}{m+n} \\y=\frac{my2+ny1}{m+n} \\x=\frac{2(5)+3(-3)}{2+3} \\x=\frac{10-9}{5} =\frac{1}{5} =0.2\\y=\frac{2(0)+3(-4)}{2+3} \\y=\frac{0-12}{5} =\frac{-12}{5} =-2.4\\

    so coordinates of P are (0.2,-2.4)

Leave an answer

Browse

Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )