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Home » Kingsman’s New Action Hero Lineup? The Star-Studded Cast Breaks the Grid! - Upplift

Kingsman’s New Action Hero Lineup? The Star-Studded Cast Breaks the Grid! - Upplift

📅 February 28, 2026 👤 scraface

Feb 28, 2026

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📌 a(x + y)^2 + b(x + y) + c = ax^2 + bx + c + ay^2 + by + c + xy.

📌 Expand left side: $ a(x^2 + 2xy + y^2) + b(x + y) + c = ax^2 + 2a xy + a y^2 + b x + b y + c $.

📌 Right side: $ ax^2 + ay^2 + bx + by + 2c + xy $.

📌 Equate coefficients:

📌 $ 2a = 1 $ (for $ xy $): $ a = rac{1}{2} $.

📌 $ 2c = c $: $ c = 0 $.

📌 Other terms match. Thus, $ h(x) = rac{1}{2}x^2 + bx $. Verify that $ h(x + y) = rac{1}{2}(x + y)^2 + b(x + y) = rac{1}{2}x^2 + xy + rac{1}{2}y^2 + bx + by $, which equals $ h(x) + h(y) + xy $. The general solution is $ h(x) = rac{1}{2}x^2 + bx $, where $ b $ is a constant. The function is $ oxed{h(x) = rac{1}{2}x^2 + bx} $.1.

📌 A train travels from City A to City B at a constant speed of 80 km/h. After a 1-hour stop in City B, it returns to City A at a speed of 100 km/h. The round trip takes 9 hours. What is the distance between City A and City B?

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