MATH

posted by .

hmm...i need help on this problem, anyone know how to o this? (if u can, put a step-by-step solution) i would really be grateful.

the coordinates of two points are A(-2,6) and B(9,3). find the coordinates of the point C on the X-axis so that AC=BC

  • MATH -

    If it is on the X axis, y = 0. All you have to do is solve for x.

    The distance of a point on the x axis from A is
    D1 = sqrt [(x+2)^2 + 6^2}
    and the distance from B is
    D2 = sqrt [(x-9)^2 + 3^2]

    Set D1 = D2, (or D1^2 = D2^2) and solve for x.

    x^2 + 4x + 4 + 36 = x^2 -18x + 81 + 9
    22 x = 90 - 40 = 50
    x = 50/22 = 2.273

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. 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 …
  2. Math

    How many {(1,1),(1,−1),(2,0)}-lattice paths are there from the point (0,0) to the line x=8?
  3. Coordinates Help asap?

    Triangle ABC has coordinates A(1, 4); B(3, –2); and C(4, 2). Find the coordinates of the image A'B'C' after a reflection over the x-axis. (3 point) Are these right?
  4. Geometry

    M is the midpoint of JK. find the coordinates of K. 1. J (-8,4) M (-1,1) 2. J (9,-5) M (5, -2) 3. J (0,11) M (-3,2) Please help me with this! I need help on this step by step. Thank you!
  5. Math

    Hello, can anyone help me with this one question?
  6. Pre-calc

    HI, can someone can please help me find the coordinates of the two halfway points of the principal cycles. Here are some answers that might help. -I found the interval: (0,pi/2) -The equation of the left vertical asymptote: x=0, and …
  7. Reposting question- Pre-calc

    HI, Function: y=5cot(-2x) can someone can please help me find the coordinates of the two halfway points of the principal cycles. Here are some answers that might help. -I found the interval: (0,pi/2) -The equation of the left vertical …
  8. Math

    I need help solving the problem not the answer. (Multiple Choice) The steps below show the incomplete solution to find the value of x for the equation 7x + 8 − 3x = −6 + 10: Step 1: 7x + 8 − 3x = −6 + 10 Step 2: 7x + 8 − …
  9. Geometry

    The midpoint of Line Segment AB is (2,-9). The coordinates of one endpoint are A(4,10). Find the coordinates of endpoint B. Can someone please check my work and tell me if my answer is correct. Step 1: 2x-9= 4x+10 2x-9= 10 2x= 1 Step …
  10. algebra math, 8th grade

    At a halftime show, a marching band marched in formation. The lead drummer started at a point with coordinates (-2 -5) and moved up 3 steps and 1 step right. I need to write a rule to describe the translation, and I also need to find …

More Similar Questions