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Home » \frac3 \times 35210 = \frac105210 = \frac12 - Tacotoon

\frac3 \times 35210 = \frac105210 = \frac12 - Tacotoon

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 h(2) = 8a + 2p + q = 10 \quad ext{(2)}

📌 h(3) = 27a + 3p + q = 24 \quad ext{(3)}

📌 Now subtract (a) from (b):

📌 Plug into (a):

📌 7\left(rac{2}{3}

📌 ight) + p = 6 \Rightarrow rac{14}{3} + p = 6 \Rightarrow p = 6 - rac{14}{3} = rac{18 - 14}{3} = rac{4}{3}

📌 Now from (1):

📌 rac{2}{3} + rac{4}{3} + q = 4 \Rightarrow rac{6}{3} + q = 4 \Rightarrow 2 + q = 4 \Rightarrow q = 2

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Now, substitute these into the formula:
= 5 \cdot \sqrt{5} \cdot \cos \theta
Solve for $\cos \theta$:
\cos \theta = \frac{5}{5 \cdot \sqrt{5}} = \frac{1}{\sqrt{5}} = \frac{...
\boxed{\frac{\sqrt{5}}{5}}
An astrophysics researcher models the trajectory of a star near a blac...
A vector $\mathbf{c}$ orthogonal to both $\mathbf{a}$ and $\mathbf{b}$...
\mathbf{c} = \mathbf{a} \times \mathbf{b} = \begin{vmatrix} \mathbf{i}...
Calculate the determinant:
\mathbf{c} = \mathbf{i}((-3)(-2) - (1)(4)) - \mathbf{j}((2)(-2) - (1)(...

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