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how to make a bookshelf in minecraft - Upplift

📅 February 28, 2026 👤 scraface

Feb 28, 2026

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📌 v(2) = (2)^2 - 4(2) + m(2) = 4 - 8 + 2m = -4 + 2m

📌 Set equal to 8:

📌 Hence, the truth-weight parameter is $ oxed{6} $.Question: Find $ x $ such that the vectors $ egin{pmatrix} x \ 2 \end{pmatrix} $ and $ egin{pmatrix} 3 \ -x \end{pmatrix} $ are orthogonal.

📌 Solution: Two vectors are orthogonal if their dot product is zero. Compute the dot product: $ x \cdot 3 + 2 \cdot (-x) = 3x - 2x = x $. Set $ x = 0 $. Thus, $ oxed{0} $ is the solution.

📌 Question: Determine the number of real solutions to the equation $ \sin^2(2x) + 3\sin(2x) + 2 = 0 $.

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