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Home » The rationalized form is $ \boxed\dfrac7 + \sqrt214 $. - Crosslake

The rationalized form is $ \boxed\dfrac7 + \sqrt214 $. - Crosslake

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Solve for \( y \) in the equation \( 5y - 7 = 3y + 9 \).

📌 Subtract \( 3y \) from both sides: \( 5y - 3y - 7 = 9 \), simplifying to \( 2y - 7 = 9 \).

📌 Add 7 to both sides: \( 2y = 16 \).

📌 Divide by 2: \( y = \frac{16}{2} = 8 \).

📌 The volume of a cylinder with a radius of 3 cm and a height of 10 cm is:

📌 Use the formula for the volume of a cylinder: \( V = \pi r^2 h \).

📌 \( V = \pi \times 3^2 \times 10 = \pi \times 9 \times 10 = 90\pi \) cm³.

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