Trig

Jimmy wants to rewrite the set of parametric equations x = 1/2 T + 3 and y = 2T - 1 in rectangular form by eliminating T. Which of the following equations would help him to eliminate T.

A) t = 2(x-3)
B) t = 2(x+3)
C) t = y-1 / 2
D) t = 2(y+1)

  1. 👍
  2. 👎
  3. 👁
  1. x = 1/2 t + 3
    is
    1/2 t = x - 3
    which is
    t = 2(x-3) which is A)

    and
    y = 2 t - 1
    is
    2 t = y+1
    which is
    t = (y+1)/2 which is not there unless D is a typo

    1. 👍
    2. 👎
  2. That's what I thought too but my teacher said there wasnt any typos and that the correct answer is one of the choices but I'm not sure which one I should choose

    1. 👍
    2. 👎
  3. Would it be t = 2(x-3) since that's one of the main parts used to solve for T?

    1. 👍
    2. 👎
  4. Well, as I said, A) works

    1. 👍
    2. 👎
  5. Great Thanks! Would you mind me asking one more question?

    1. 👍
    2. 👎
  6. A class is to eliminate t from the parametric equations x = t^2 + 3 and y = 4t. Beth says that she can write t = sqrt (x-3) to eliminate the parameter. Why is this wrong?

    A) She should have added 3 to x, not subtracted
    B) She should always solve for t as a function of y
    C) She should have taken both the positive and negative square root
    D) She should first substitute y for t before solving

    1. 👍
    2. 👎
  7. I know its not C since both square roots should be used to solve for the equation.

    1. 👍
    2. 👎
  8. I dont think its A either since you would subtract 3 and not add 3 so it must be B or D

    1. 👍
    2. 👎
  9. read C) again. She only took the + root. She should have taken both as you said.

    1. 👍
    2. 👎
  10. Oh you're right! So just to be sure, it would be C right?

    1. 👍
    2. 👎
  11. Are you literally talking to yourself?

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Calculus

    Find the equation of the tangent to the curve at x = 3 for the parametric equations below: x= t+1/t y= t^2+1/t^2, with t>0 a) y= 2x+1 b) y= 6x-11 c) y= 6x-39 d) y= 2x-1

  2. Vectors

    Determine parametric equations for the plane through the points A(2, 1, 1), B(0, 1, 3), and C(1, 3, −2).

  3. Pre-Calculus Help?

    Rewrite the following parametric equations by solving for y x(t) = e^-t y(t) = 3e^2t a) y=1/3x^2,x>0 b)3/x^2, x>0 c) y= 3e^t, x>0 d) y=4e^t, x>0

  4. Math

    Given this set of parametric equations, find the scalar equation: x = 1 + 2t y = 1 - 3t

  1. Calculus 3

    Find the parametric equations of the line through the points (1, 3, 2) and (4, -1, 1).

  2. Precal

    A distress flare is shot straight up from a ship’s bridge 75 ft above the water with an initial velocity of 76 ft/sec. a) Write a set of parametric equations for the path of the flare. ______________________________

  3. Math-Precalculus-Parametric Equations - Ellipses

    The graph of the equation (x-h)^2/(a^2) + (y-k)^2/b^2 = 1 is an ellipse with center (h,k), horizontal axis length 2a, and vertical axis length 2b. Find parametric equations whose graph is an ellipse with center (h,k), horizontal

  4. Calculus

    Eliminate the parameter for the following parametric equations: x(t)=t-2 y(t)=t^2-4 A) y=x^2+2x+8 B) y=x^2+4x+4 C) y=x^2+4x D) y=x^2+4x+8

  1. Math

    Write the parametric equations of a line perpendicular to 4x + 8y +7 =0 with the same x-intercept as [𝑥,𝑦]=[2,7]+𝑡[−10,3].

  2. math vector

    Find the unit tangent vector T(t) and find a set of parametric equations for the line tangent to the space curve at point P. r(t)=ti+t^(2)j+tk, P(0,0,0)

  3. math

    Determine vector, parametric, and if possible, symmetric equations of the line through D(-4, 3, 6) and parallel to the z-axis. Vector form: + t Parametric: x = -4 y = 3 z = 6 + t Symmetric: x = -4 , y = 3 , z - 6 Is this right?

  4. calc 3

    Find parametric equations for the tangent line to the curve of intersection of the paraboloid z = x2 + y2 and the ellipsoid 7x2 + 2y2 + 6z2 = 33 at the point (−1, 1, 2). (Enter your answer as a comma-separated list of equations.

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