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Home » The center of the hyperbola is \((h, k) = (3, 2)\). - Groen Casting

The center of the hyperbola is \((h, k) = (3, 2)\). - Groen Casting

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Solve the system:

📌 2x + 3y = 12 \

📌 4x - y = 10

📌 What is the value of \(x + y\)?

📌 Multiply second equation by 3: \(12x - 3y = 30\).

📌 Add to first equation:

📌 \((2x + 3y) + (12x - 3y) = 12 + 30\) â \(14x = 42\) â \(x = 3\).

📌 Substitute into second equation: \(4(3) - y = 10\) â \(12 - y = 10\) â \(y = 2\).

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Time per Test (in minutes):** 15
First, calculate the total number of tests:
\text{Total Tests} = 8 \times 4 = 32
Next, calculate the total testing time in minutes:
\text{Total Time (minutes)} = 32 \times 15 = 480
Convert minutes to hours (since there are 60 minutes in an hour):
\text{Total Time (hours)} = \frac{480}{60} = 8
Therefore, the total time required is 8 hours.
\boxed{8}
Question:** A science communicator is creating a video series with 12...

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