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Home » Solution: The alignment occurs at the least common multiple of 2025 and 1515. - AMAZONAWS

Solution: The alignment occurs at the least common multiple of 2025 and 1515. - AMAZONAWS

📅 March 6, 2026 👤 scraface

Mar 06, 2026

Solution: The alignment occurs at the least common multiple of 2025 and 1515.

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📌 Solution: Complete the square for $x$ and $y$. For $x$: $9(x^2 - 2x) = 9[(x - 1)^2 - 1] = 9(x - 1)^2 - 9$. For $y$: $-16(y^2 - 4y) = -16[(y - 2)^2 - 4] = -16(y - 2)^2 + 64$. Substitute back: $9(x - 1)^2 - 9 - 16(y - 2)^2 + 64 = 144$. Simplify: $9(x - 1)^2 - 16(y - 2)^2 = 89$. The center is at $(1, 2)$. Thus, the center is $oxed{(1, 2)}$.

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\binom{6}{2} (0.20)^2 (0.80)^4 = 15 \cdot 0.04 \cdot 0.4096 = 0.24576

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