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Home » Solution: Original total cost for two sensors is \$88, so each sensor costs: - Londonproperty

Solution: Original total cost for two sensors is \$88, so each sensor costs: - Londonproperty

📅 March 13, 2026 👤 scraface

Mar 13, 2026

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📌 Let’s re-solve the system:

📌 \frac{x^2}{100} + \frac{y^2}{64} = 1 \quad \text{(ellipse)}

📌 x^2 + y^2 = 64 \quad \text{(circle)}

📌 From second, \( y^2 = 64 - x^2 \). Substitute:

📌 x^2 \left( \frac{64 - 100}{6400} \right) = 0 \Rightarrow x^2 \cdot (-36/6400) = 0

📌 So \( x^2 = 0 \), hence \( x = 0 \), \( y = \pm8 \).

📌 Only **two** solutions.

📌 Therefore, the signal reaches exactly **2 points** on the orbit.

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