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\[ -b = 1 \Rightarrow b = -1 \] - Simpleprint

📅 March 14, 2026 👤 scraface

Mar 14, 2026

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📌 A ladder 10 m long leans against a wall, reaching a height of 8 m. How far is the base of the ladder from the wall?

📌 Let \(a\) be the distance from the wall, \(b = 8\), \(c = 10\).

📌 \(a^2 + 8^2 = 10^2\).

📌 \(a^2 = 36\), \(a = \sqrt{36} = 6\).

📌 A sequence is defined by \(a_n = 3n^2 + 2n + 1\). Find the 5th term of the sequence.

📌 Substitute \(n = 5\) into the formula.

📌 \(a_5 = 3(5)^2 + 2(5) + 1\).

📌 \(a_5 = 3(25) + 10 + 1 = 75 + 10 + 1 = 86\).

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