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2^5 - 1 = 31 - Portal da AcÃºstica

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Circumference \( = 2\pi r = 10\pi \) → \( r = 5 \).

📌 The diagonal of the inscribed square equals the diameter: \( 2r = 10 \).

📌 Let side of square be \( s \). Then \( s\sqrt{2} = 10 \) → \( s = \frac{10}{\sqrt{2}} = 5\sqrt{2} \).

📌 Area = \( s^2 = (5\sqrt{2})^2 = 50 \).

📌 Simplify: \( \frac{3x^2 - 12x}{x^2 - 4} \div \frac{3x}{x + 2} \).

📌 First, factor: \( \frac{3x(x - 4)}{(x - 2)(x + 2)} \div \frac{3x}{x + 2} \).

📌 Dividing is multiplying by reciprocal:

📌 \( \frac{3x(x - 4)}{(x - 2)(x + 2)} \times \frac{x + 2}{3x} = \frac{x - 4}{x - 2} \).

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