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which transformation will not carry the rectangle onto itself - Professionaloutdoormedia

📅 May 14, 2026 👤 scraface

May 14, 2026

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📌 \sqrt{x^2 + y^2} = 5 \quad \Rightarrow \quad x^2 + y^2 = 25

📌 From \(3x + 4y = 0\), we can express \(y\) in terms of \(x\):

📌 y = -\frac{3}{4}x

📌 Substitute \(y = -\frac{3}{4}x\) into \(x^2 + y^2 = 25\):

📌 x^2 + \left(-\frac{3}{4}x\right)^2 = 25

📌 x^2 + \frac{9}{16}x^2 = 25

📌 \frac{25}{16}x^2 = 25

📌 x^2 = 16 \quad \Rightarrow \quad x = \pm 4

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