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Home » Substitute \( x = 10 \) back into \( y = 20 - x \): - Baxtercollege

Substitute \( x = 10 \) back into \( y = 20 - x \): - Baxtercollege

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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4(x - 4)^2 - 9(y - 3)^2 + 17 = -115 \implies 4(x - 4)^2 - 9(y - 3)^2 =...
Divide by $ -132 $ to standardize:
\frac{(y - 3)^2}{\frac{132}{9}} - \frac{(x - 4)^2}{\frac{132}{4}} = 1.
The center is at $ (h, k) = (4, 3) $.
Final answer: $\boxed{(4, 3)}$
Question: Microfossil density $ d(t) $ in a sediment layer follows $ \...
Solution: Use partial fractions to decompose $ \frac{1}{k(k+1)(k+2)} $...
\frac{1}{k(k+1)(k+2)} = \frac{A}{k} + \frac{B}{k+1} + \frac{C}{k+2}.
Multiply through: $ 1 = A(k+1)(k+2) + Bk(k+2) + Ck(k+1) $.
Solve for $ A, B, C $:

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