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dimaraw [331]
3 years ago
6

How to find the intersection of a circle and parabola?

Mathematics
1 answer:
maria [59]3 years ago
8 0
Use the substitution method to solve for the system of equations:

Circle: (x-h)² + (y-k)² = r²
Parabola: y = a(x-h)² + k         or        x = a(y-k)² + h

(I am using the "y=" parabola for this example)

Substitute a(x-h)² + k for y into the circle equation and solve for x:
(x-h)² + [(a(x-h)² + k)² - k]² = r²

Then, substitute that x value into the parabola equation to solve for y.

Hope this makes sense!


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Answer D
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9514 1404 393

Answer:

  7 7/8

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A typical graphing calculator will let you enter this problem directly, giving you a result either as a decimal, improper fraction, or a mixed number.

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