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Home » \( 5x - y = 9 \) - DNSFLEX

\( 5x - y = 9 \) - DNSFLEX

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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The volume of a cylinder is \(288\pi\) cm\(^3\) and its height is 12 c...
So, \(288\pi = \pi r^2 \times 12\).
Divide by \(\pi\): \(288 = 12r^2\).
Thus, \(r^2 = 24\) and \(r = \sqrt{24} = 2\sqrt{6}\).
#### \(2\sqrt{6}\)
Solve for \(x\): \(\log_2(x^2 - 5x) = 3\).
Rewrite: \(x^2 - 5x = 2^3 = 8\).
So, \(x^2 - 5x - 8 = 0\).
Use quadratic formula: \(x = \frac{5 \pm \sqrt{25 + 32}}{2}\).
\(x = \frac{5 \pm \sqrt{57}}{2}\).

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