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Home » Correct: B Amygdala - Londonproperty

Correct: B Amygdala - Londonproperty

📅 March 13, 2026 👤 scraface

Mar 13, 2026

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📌 Total time = 3 + 2 = 5 hours.

📌 Average speed = \( \frac{500}{5} = 100 \) km/h.

📌 Solve for \( x \): \( 3^{2x+1} = 81 \cdot 3^{x-1} \).

📌 Express 81 as \( 3^4 \), so equation becomes:

📌 \( 3^{2x+1} = 3^4 \cdot 3^{x-1} = 3^{4 + x - 1} = 3^{x+3} \).

📌 Since bases are equal, set exponents equal:

📌 \( 2x + 1 = x + 3 \) → \( 2x - x = 3 - 1 \) → \( x = 2 \).

📌 In a triangle, the lengths of two sides are 13 cm and 15 cm. If the angle between them is 60°, what is the length of the third side?

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