MATHEMATICS_algebra

posted by .

X is a point between A(-5,-2) and B(5,13) such that AX:XB = 2:3. Find the coordinates of X.

  • MATHEMATICS_algebra -

    let the point X be X(a,b)
    by ratios
    (a+5)/5-a) = 3/2
    2a+10 = 15-3a
    5a=5
    a=1

    (b+2)/(13-b) = 3/2
    2b+4 = 39 - 3b
    5b = 35
    b = 7

    make a sketch to verify

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. goemetry

    the coordinates of the endpoints A and B of segment AB are 6 and 21, respestively. find the coordinate of point C between A and B such that AC= 2/3(CB)
  2. math

    Alright, let's say you want to get from one point to another, in a 3D box. all points have an x, y and z coordinate. Point A has coordinates (25,30,5) while Point B has coordinates (50,26,18). The only given variable other than the …
  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. algebra1

    given points : p (2,1) q (-4,2) m(5,3) find the coordinates of a point n such that pq and mn are parallel find coordinate of a point k such that mk is perpendicular to pq
  5. Urgent!!! Physics

    A meteor streaking through the night sky is located with radar. At point A its coordinates are (5.60 km, 1.25 km), and 1.12 s later its has moved to point B with coordinates (6.16 km, 0.900 km). A. Find the x component of its average …
  6. MATHEMATICS_ratio&proportion

    X is a point between A(-5,-2) and B(5,13) such that AX:XB = 2:3. Find the coordinates of X.
  7. Maths

    A curve is such that dy/dx = 2- 8(3x+4)^-1/2 - A point P moves along the curve in such a way that the x-coordinates is increasing at a constant rate of 0.3 units per second. Find the rate of change of the y-coordinates as P crosses …
  8. trig

    The rectangular coordinates of a point are given (0,-6). Find polar coordinates of the point such that r greater than 0 and 0 less than or equals theta less than 2pi. how to solve this damon please help me
  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. Vectors Q#2

    Find the shortest distance between the point D with coordinates (-2,-2,9) and the line passing through the points with coordinates B(2,4,6) and C(4,1,5)

More Similar Questions