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📰 \boxed{10} 📰 Question: A science policy analyst is modeling energy transmission efficiency across a network of nodes arranged in a regular hexagon. One node is at the origin $O$, and adjacent nodes are at $A = (1, 0)$, $B = \left(\frac{1}{2}, \frac{\sqrt{3}}{2}\right)$, and $C = \left(-\frac{1}{2}, \frac{\sqrt{3}}{2}\right)$. The analyst wants to find the complex number $z$ representing the node opposite to $O$, assuming integer coordinates are used in a scaled grid. Find the coordinates of this farthest node. 📰 The nodes form a regular hexagon centered at the origin, with one vertex at $A = (1, 0)$. In the complex plane, this corresponds to $z = 1$. The other vertices are obtained by rotating $z$ by multiples of $60^\circ = \frac{\pi}{3}$ radians. 📰 Shocked How Microsoft Action Center Simplifies Your Tech Workflowheres How 5909841 📰 This Nutrition Info On Chicken Wings Will Change How You Snack Forever 8213450 📰 Delta Force Delta Tickets 📰 Game Gone Fishing 📰 Unexpected News One Note Template Last Update 2026 📰 Verizon North Adams Ma 📰 Yesterdays Wordle 3135376 📰 Apple Bootcamp Software Download 📰 Bose Open Earbuds Review 📰 Best Personal Finance Apps 2025 📰 Unlock Personal Mercy Now My Mercy Portal Shocks You With Transformation 4992207 📰 Tennfold 4353089 📰 Merge Multiple Pst Files On Mac 📰 Microsoft Lists Templates 📰 Bob Marley Songs 1792757