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Home » Shocking TFT COMPs That Every Top Player Uses (Spoiler: It’s Not What You Think!) - jntua results

Shocking TFT COMPs That Every Top Player Uses (Spoiler: It’s Not What You Think!) - jntua results

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 \mathbf{d} \cdot \mathbf{d} = 3^2 + 1^2 = 9 + 1 = 10

📌 Projection scalar:

📌 t = rac{18}{10} = 1.8

📌 Add \(t\mathbf{d}\) to \(\mathbf{r}_0\):

📌 egin{pmatrix} 1 \ -2 \end{pmatrix} + 1.8 egin{pmatrix} 3 \ 1 \end{pmatrix} = egin{pmatrix} 1 + 5.4 \ -2 + 1.8 \end{pmatrix} = egin{pmatrix} 6.4 \ -0.2 \end{pmatrix}

📌 Thus, the closest point on the bridge to the water source is \(oxed{egin{pmatrix} 6.4 \ -0.2 \end{pmatrix}}\).

📌 An online STEM student is exploring complex numbers and discovers the expression \((\cos rac{\pi}{6} + i \sin rac{\pi}{6})^6\). Compute this value and express it in the form \(a + bi\).

📌 Using De Moivreâs Theorem:

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E_1 + E_2 = 12, \quad E_1^2 + E_2^2 = 80
E_1^3 + E_2^3 = (E_1 + E_2)^3 - 3E_1E_2(E_1 + E_2)
First, compute \( (E_1 + E_2)^3 = 12^3 = 1728 \)
Next, find \( E_1E_2 \) using:
= 80 + 2E_1E_2 \Rightarrow 2E_1E_2 = 64 \Rightarrow E_1E_2 = 32
E_1^3 + E_2^3 = 1728 - 3(32)(12) = 1728 - 1152 = 576
Thus, the value is \(\boxed{576}\).
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