MATHEMATICS

posted by .

If P is a point on the segment joining X(-2,-2) and Y(8,3), find the coordinates of point P if XP:PY = 2:3.

  • MATHEMATICS -

    make a sketch and set up simple ratios

    let the point P be P(x,y)
    (8-x)/(x+2) = 3/2
    3x + 6 = 16 - 2x
    5x = 10
    x = 2

    (3-y)/(y+2) = 3/2
    3y + 6 = 6 - 2y
    5y = 0
    y = 0

    P is (2,0)

    verify with your sketch

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Algebra and Discrete Geometry

    For points X (1,3,5) and (2,-4,6) find: a) the coordinates of the point P that divides the segment XY (internally) in the ratio 3:2. b) the coordinates of the point R that divides the segment XY (externally) in the ratio -2:5.
  2. math

    CD is a line segment joining the point C(3,8) and D(3,-4). Find the coordinates of the three points that divide CD into 4 equal parts?
  3. calculus

    let f be the function f(x) = x^3 + 3x^2 - x + 2 a. the tangent to the graph of f at the point P = (-2,8) intersects the graph of f again at the point Q. Find the coordinates of point Q. b. Find the coordinates of point R, the inflection …
  4. math

    If X is a point on the segment joining A(2,-1) and B(9,6), find the coordinates of X if AX:XB = 2:5. with solution pls... tnx...
  5. math

    The line segment joining P(-6,7) and Q(5,-2) intersects the y-axis at the point R.Find the coordinates of R.
  6. math

    The line segment joining ( -3,-4) and (6,11) is to be divided in to three (3) equal parts. Find the coordinates of the point of the part closest to (-3,-4). Please help me..
  7. Analytic Geometry

    the segment joining p1(2,3) and p2 (6,7) is produced beyond p1 to a point P(x,y) so the P(x,y) is five times as far from p2 as from p1. find the coordinates of p(x,y)
  8. Geometry

    Point A (-2,3) and point B (4,6) are the endpoints of segment AB. What are the coordinates of point C on segment AB that AC is 2/3 the length of segment AB from point A?
  9. Linear Relations MATHS

    If A = (-4,6) and B = (6,-7), find: (a) the coordinates of the point P on the line segment AB such that AP:Pb = 3:1 (b) the coordinates of the point P on the line AB such that AP:AB = 3:1 and P is closer to point B than to point A
  10. Math,2D-Geometry

    Find the coordinates of the point which divides the line segment joining (2,4) and (6,8) in the ratio 1:3 internally and externally

More Similar Questions