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CaHeK987 [17]
3 years ago
8

Find the centroid for an area defined by the equations y = x² + 3 and y = - (x – 2)² + 7

Mathematics
1 answer:
sergeinik [125]3 years ago
6 0
First we need to find where the 2 graphs intercept.

x^2 + 3 = - (x^2 - 4x + 4) + 7
x^2 + 3 = -x^2 + 4x + 3
2x^2 - 4x = 0 
2x(x - 2)

x = 0 , 2. are x coordinates  of the 2 intercepts.

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Answer:

The remaining lenghts are x = 20.364\,cm and y = 12.925\,cm.

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