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📰 Set equal: $ 2x - 5 = -\frac{1}{2}x + 5 $ → $ \frac{5}{2}x = 10 $ → $ x = 4 $. Substitute $ x = 4 $ into $ y = 2x - 5 $: $ y = 3 $. The closest point is $ (4, 3) $, which coincides with the given point (implying the point lies on the line). However, verifying: $ 3 = -\frac{1}{2}(4) + 5 = -2 + 5 = 3 $. Thus, the closest point is $ \boxed{(4, 3)} $. 📰 Question: A data scientist models urban traffic flow with a transformation matrix $ \mathbf{M} $ that rotates traffic patterns by $ 45^\circ $ and scales them by $ \sqrt{2} $. Find $ \mathbf{M} $. 📰 Solution: A rotation matrix for $ \theta = 45^\circ $ is $ \begin{bmatrix} \cos\theta & -\sin\theta \\ \sin\theta & \cos\theta \end{bmatrix} = \begin{bmatrix} \frac{\sqrt{2}}{2} & -\frac{\sqrt{2}}{2} \\ \frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2} \end{bmatrix} $. Scaling by $ \sqrt{2} $ multiplies each entry: 📰 This Exclusive Look At Pornt Will Change How You See Modern Adult Content Forever 708632 📰 Cast From Stranger Things Season 2 2540949 📰 Percy Jackson Tv Show 4491371 📰 Secrets Behind Velvet Revolvers Greatest Hits You Wont Believe Their Story 9255696 📰 Pacyber Login Hack Heres The Easy Way To Access Your Account Fast 488712 📰 Chicken Scratch Indianapolis Reviews 9584515 📰 Can One Experiment Change Everything Test Fusion Delivers The Unexpected 4981083 📰 Game Poty Splits The Gaming Worldscience Behind Its Unstoppable Rise 1757889 📰 Glade Plug In Rich Completethis One Step Unlocks Infinite Glade Power 1529584 📰 5 Plnt Stock Hype Is Real Heres Why Investors Are Missing Out You Must Read 2816307 📰 South Jersey News 1408034 📰 Finally Eur To Ars Rate Spikes Are You Ready To Supercharge Your Savings 9451592 📰 Good Morning Love This Unexpected Message Changed Her Entire Day Forever 9885938 📰 A Chemist Needs To Prepare A Solution By Mixing Two Chemicals Chemical A Costs 12 Per Liter And Chemical B Costs 8 Per Liter If The Chemist Needs To Use Twice As Much Chemical A As Chemical B And The Total Volume Must Be 30 Liters What Is The Total Cost Of The Solution 6810522 📰 Crazy Candy Riddles Challenge Beat These Sweet Puzzles Now 774686