# 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)

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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

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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

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

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4. Well, as I said, A) works

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5. Great Thanks! Would you mind me asking one more question?

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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

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

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

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

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

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11. Are you literally talking to yourself?

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