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Home » First, calculate the number of affected residents in each neighborhood: - Abbey Badges

First, calculate the number of affected residents in each neighborhood: - Abbey Badges

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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We also know that the magnitude of \(\mathbf{v}\) is 5 units:
\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
If \(x = 4\), then \(y = -\frac{3}{4}(4) = -3\). If \(x = -4\), then \...

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