SOLUTION: The parametric equations for a curve in the x-y plane are x=2+t^2 and y=4-3t. Determine the points where the curve intersects the x-axis. Thank you!

Algebra ->  Algebra  -> Trigonometry-basics -> SOLUTION: The parametric equations for a curve in the x-y plane are x=2+t^2 and y=4-3t. Determine the points where the curve intersects the x-axis. Thank you!       Log On

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Question 437604: The parametric equations for a curve in the x-y plane are x=2+t^2 and y=4-3t. Determine the points where the curve intersects the x-axis.
Thank you!
Answer by stanbon(57307) About Me  (Show Source):
You can put this solution on YOUR website!
The parametric equations for a curve in the x-y plane are x=2+t^2 and y=4-3t. Determine the points where the curve intersects the x-axis.
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When the curve hits the x-axis y = 0.
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Solve: 4-3t = 0
t = (4/3)
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Then x = 2+t^2
x = 2+(4/3)^2
x = 18/9 + 16/9
x = 34/9
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The curve intersects at (34/9,0)
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Cheers,
Stan H.