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📅 May 14, 2026 👤 scraface

May 14, 2026

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📌 Thus, \( b = \sqrt{64} = 8 \).

📌 The area is \( 6 \times 8 = 48 \) square cm.

📌 The difference between the squares of two numbers is 45, and their sum is 13. What are the numbers?

📌 Given: \( x^2 - y^2 = 45 \) and \( x + y = 13 \).

📌 Factor the first equation: \( (x-y)(x+y) = 45 \).

📌 Substitute \( x+y = 13 \): \( (x-y)(13) = 45 \).

📌 Thus, \( x-y = \frac{45}{13} \).

📌 \( x + y = 13 \)

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