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sturbridge host hotel & conference center sturbridge ma - Imagemakers

📅 May 2, 2026 👤 scraface

May 02, 2026

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📌 Average speed = \( \frac{450 \, \text{km}}{6 \, \text{hours}} = 75 \, \text{km/h} \).

📌 A rectangle has a length of 12 cm and a width of 5 cm. If it is scaled up by a factor of 3, what is the area of the new rectangle?

📌 New length = \( 12 \times 3 = 36 \, \text{cm} \), new width = \( 5 \times 3 = 15 \, \text{cm} \).

📌 New area = \( 36 \times 15 = 540 \, \text{cm}^2 \).

📌 Solve for \( x \) in the equation \( 2x^2 - 8x + 6 = 0 \) using the quadratic formula.

📌 Discriminant = \( (-8)^2 - 4 \times 2 \times 6 = 64 - 48 = 16 \).

📌 Solutions: \( x = \frac{12}{4} = 3 \) and \( x = \frac{4}{4} = 1 \).

📌 A circle has a circumference of 31.4 cm. Find its radius.

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