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Home » 288\pi = \frac43\pi r^3 - ToelettAPP

288\pi = \frac43\pi r^3 - ToelettAPP

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📝 Recent Posts

$ 2a + 4b = 6 $,
$ c + 3d = 7 $,
$ 2c + 4d = 8 $.
Solving equations 1 and 2: From 1, $ a = 5 - 3b $. Substituting into 2...
Solving equations 3 and 4: From 3, $ c = 7 - 3d $. Substituting into 4...
Thus, $ \mathbf{M} = \begin{pmatrix} -1 & 2 \\ -2 & 3 \end{pmatrix} $....
Question: Find $ y $ such that the vectors $ \begin{pmatrix} 2 \\ y \\...
Solution: Two vectors are orthogonal if their dot product is zero. Com...
2(3) + y(-2) + (-1)(y) = 6 - 2y - y = 6 - 3y = 0.
Solving $ 6 - 3y = 0 $ gives $ y = 2 $. Final answer: $ \boxed{2} $.

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