1. Questions

Algebra II

Write 36x^2-360x-25y^2-100y=100 in standard form. Then state whether the graphs of the equation is a parabola, circle, ellipse, or hyperbola.

I started with:
36(x^2 -10x+25)-25(y^2+4y+4)=100+36(25)-25(4)

which leads to: 36(x^2-10x+25)/900 - 25(y^2+4y+4)/900=1

Simplified to: (x-5)^2/25 - (y+2)^2/36; ellipse.

Is this correct?

  1. 👍
  2. 👎
  3. 👁
Lucy

  1. Yes.

    1. 👍
    2. 👎
    drwls

  2. Algebra is correct, but this is then a hyperbola.

    Also, try to solve more complicated problems containing a term proportional to xy, e.g.:

    x^2 + 3 x + y^2 - 12 y + 15 x y = 1588

    1. 👍
    2. 👎
    Count Iblis

  4. Yes, it's a hyperbola. I overlooked that - sign.

    1. 👍
    2. 👎
    drwls

Respond to this Question

First Name

Your Response

Similar Questions

  1. algebra

    What is the equation in standard form, of a parabola that models the values in the table? x f(x) -2 4 0 -6 4 70

  2. algebra 2

    a quadratic equation can be written in vertex form or in standard form. sometimes one form is more beneficial than the other. identify which form would be more helpful if you needed to do each task listed below and explain why. a.

  3. Math

    What is the equation in standard form, of a parabola that models the values in the table? x -1, 0, 2 f(x) 12, 5, 15

  4. algebra 2

    A quadratic equation can be written in vertex form or in standard form. Sometimes one form is more beneficial than the other. Identify which form would be more helpful if you needed to do each task listed below and explain why a.

  1. Math

    Write an equation in standard form for each parabola. Vertex (0, 0) and directrix y = 6. y = -1/24x^2?

  2. Algebra

    What is the equation, in standard form, of a parabola that models the values in the table x (-2,0,4) F(x) (2.5,1.5,-60.5)

  3. Algebra 2 H

    Write an equation in standard form for the parabola that passes through the points: (-2, 64), (3, -16), (7, 28)

  4. algebra 2

    Write the equation, in standard form, of the parabola containing the following points: (0,1), (1,5), (2,3)

  1. Algebra 2 math

    Write the equation, in standard form, of the parabola containing the following points: (0,1), (1,5), (2,3) I know the answer is y=-3x^2+7x+1 but idk how to work it out pleaseee helpp :(

  2. algebra

    Suppose a parabola has a vertex (-4,7) and also passes through the point (-3,8) Write the equation of the parabola in vertex form. f(x)=a(x-h)^2+k I believe h=-4 k=7 Not sure what to do from here.

  3. College Algebra

    Find the standard form of the equation of the parabola with the given characteristics and vertex at the origin. Passes through the point (-5, 1/8); vertical axis. There is no focus of the parabola or equation given, so how am I

  4. Algebra

    For the data in the table, does y vary directly with x? If it does, write an equation for the direct variation. X Y 52 39 32 24 2o 15 8 6 Find the slope of the given lines: 2. (6, 5) & (9, 10) 3. (-2, -4) & (-2, -6) Write the

You can view more similar questions or ask a new question.