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Home » For $ y $: $ y^2 - 6y = (y - 3)^2 - 9 $. - Ready Digital AB

For $ y $: $ y^2 - 6y = (y - 3)^2 - 9 $. - Ready Digital AB

📅 March 7, 2026 👤 scraface

Mar 07, 2026

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📌 Total distance = 600 km. Time to B = 3 hours, time to A = 4 hours. Total time = 7 hours. Average speed = \( \frac{600}{7} \approx 85.71 \) km/h.

📌 #### \(\frac{600}{7}\)

📌 A rectangular prism has dimensions 4 cm by 6 cm by 8 cm. What is the length of the longest diagonal inside the prism?

📌 Use the 3D Pythagorean theorem: \( \sqrt{4^2 + 6^2 + 8^2} = \sqrt{16 + 36 + 64} = \sqrt{116} = 2\sqrt{29} \) cm.

📌 #### \(2\sqrt{29}\)

📌 A function \( f(x) = 2x^2 - 3x + 1 \) is defined. What is the value of \( f(-2) \)?

📌 Substitute \( x = -2 \): \( f(-2) = 2(-2)^2 - 3(-2) + 1 = 8 + 6 + 1 = 15 \).

📌 #### 15Certainly! Here are ten advanced high school level mathematics questions, each followed by a detailed step-by-step solution.

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