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aha! Discover How ProtonDB Revolutionizes Database Management for Developers - Leaselab

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 Substituting the expression for length, \(36 = 2(2w + w) = 6w\).

📌 Divide by 6: \(w = 36 / 6 = 6\).

📌 The length is \(2w = 2 \times 6 = 12\).

📌 #### Width: 6 cm, Length: 12 cm

📌 If \(f(x) = x^2 - 4x + 4\), find \(f(3)\).

📌 Substitute \(x = 3\) into the function: \(f(3) = 3^2 - 4 \times 3 + 4\).

📌 Simplify: \(f(3) = 9 - 12 + 4 = 1\).

📌 #### \(f(3) = 1\)

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& -1 & 3
\end{vmatrix} = \mathbf{i}(v_2 \cdot 3 - v_3 \cdot (-1)) - \mathbf{j}(...
Set this equal to $\mathbf{d} = egin{pmatrix} -4 \ 5 \ 1 \end{pmatrix...
$3v_2 + v_3 = -4$
$-3v_1 + 2v_3 = 5$
$-v_1 - 2v_2 = 1$
From equation (3): $v_1 = -1 - 2v_2$. Substitute into equation (2):
-3(-1 - 2v_2) + 2v_3 = 5 \implies 3 + 6v_2 + 2v_3 = 5 \implies 6v_2 +...
But equation (1) states $3v_2 + v_3 = -4$. This inconsistency implies...
eq 0$, confirming no solution exists. Thus, $oxed{ ext{No such vector...

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