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Home » They Said âOh Brother,â Then They StunkâYou Need to See the âStinkâ! - Appcentric

They Said âOh Brother,â Then They StunkâYou Need to See the âStinkâ! - Appcentric

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 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

📌 If \(x = 4\), then \(y = -\frac{3}{4}(4) = -3\). If \(x = -4\), then \(y = -\frac{3}{4}(-4) = 3\).

📌 Thus, the possible vectors are \(\mathbf{v} = \begin{bmatrix} 4 \\ -3 \end{bmatrix}\) or \(\mathbf{v} = \begin{bmatrix} -4 \\ 3 \end{bmatrix}\).

📌 \boxed{\begin{bmatrix} 4 \\ -3 \end{bmatrix} \text{ or } \begin{bmatrix} -4 \\ 3 \end{bmatrix}}

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