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Home » Soit \( m \) le nombre de miles. - 500apps

Soit \( m \) le nombre de miles. - 500apps

📅 March 13, 2026 👤 scraface

Mar 13, 2026

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📌 A software engineer uses perspective projection in AR, where a point $(x, y, z)$ with $z > 0$ projects to $(x/z, y/z, 0)$ on the screen. If a virtual object at $(8, 6, 4)$ is viewed, and the screen is at $z = 2$, what is the projected 2D coordinate?

📌 Using projection: $x_{ ext{proj}} = 8 / 2 = 4$, $y_{ ext{proj}} = 6 / 2 = 3$.

📌 So the 2D coordinate is $(4, 3)$.

📌 #### (4, 3)Question: Let $ f(x) = rac{x^4 - 10x^2 + 25}{x^2 - 5} $. Simplify $ f(x) $ and determine the value of $ f(2) $.

📌 Solution: Begin by factoring the numerator:

📌 x^4 - 10x^2 + 25 = (x^2 - 5)^2

📌 f(x) = rac{(x^2 - 5)^2}{x^2 - 5} = x^2 - 5 \quad ext{(for } x^2

📌 e 5 ext{)}

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