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Home » = a(4 - 2)^2 - 3 - Sterling Industries

= a(4 - 2)^2 - 3 - Sterling Industries

📅 April 16, 2026 👤 scraface

Apr 16, 2026

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📌 Area: \( 5 \times 15 = 75 \) cm².

📌 Simplify: \( \frac{2^{n+3} \cdot 4^{n-1}}{8^{n-2}} \).

📌 Rewrite all terms as powers of 2:

📌 \( 4 = 2^2 \), \( 8 = 2^3 \):

📌 \( \frac{2^{n+3} \cdot (2^2)^{n-1}}{(2^3)^{n-2}} = \frac{2^{n+3} \cdot 2^{2n-2}}{2^{3n-6}} = \frac{2^{n+3 + 2n - 2}}{2^{3n - 6}} = \frac{2^{3n + 1}}{2^{3n - 6}} = 2^{(3n + 1) - (3n - 6)} = 2^7 = 128 \).

📌 A right triangle has legs of lengths 9 and 12. Find the length of the hypotenuse.

📌 By the Pythagorean theorem:

📌 \( c = \sqrt{9^2 + 12^2} = \sqrt{81 + 144} = \sqrt{225} = 15 \).

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