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Home » Use the distance formula to find the total displacement: - ToelettAPP

Use the distance formula to find the total displacement: - ToelettAPP

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 Let width be \( w \), then length is \( 3w \).

📌 Perimeter: \( 2(w + 3w) = 40 \) → \( 8w = 40 \) → \( w = 5 \).

📌 Length: \( 3 \times 5 = 15 \).

📌 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:

📌 \( 4 = 2^2 \), \( 8 = 2^3 \):

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

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