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Home » Here, \( a = 1, b = 1, c = -10100 \). - Veritas Home Health

Here, \( a = 1, b = 1, c = -10100 \). - Veritas Home Health

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 As fraction: \( \frac{1688}{32} = \frac{211}{4} \).

📌 #### \( \frac{211}{4} \)

📌 Combine logs: \( \log_2(x(x - 2)) = 3 \) → \( x(x - 2) = 2^3 = 8 \).

📌 So, \( x^2 - 2x - 8 = 0 \) → factor: \( (x - 4)(x + 2) = 0 \).

📌 So \( x = 4 \) or \( x = -2 \). But \( x > 2 \) for log to be defined, so \( x = 4 \).

📌 A ladder 10 meters long leans against a wall, forming a 75° angle with the ground. How high up the wall does the ladder reach? (Round to nearest tenth)

📌 Height = \( 10 \cdot \sin(75^\circ) \).

📌 \( \sin(75^\circ) = \sin(45^\circ + 30^\circ) = \sin 45^\circ \cos 30^\circ + \cos 45^\circ \sin 30^\circ \)

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