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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: 📰 Top 10 Must Watch Movies Streaming Nowdont Miss Out Click Here 6379077 📰 Barry Odum 8167761 📰 Hdr Windows 10 Magic Watch Video Quality Skyrocket Instantly 7186282 📰 Final Cut X Download 2263047 📰 How Much Snow Did Indianapolis Get 7660537 📰 Unlock Ancient Secrets Master The Hieroglyphics Translator Today 9249498 📰 The Shocking Truth About The Greenlight Card No One Talks About 8321496 📰 Bucks Champion Nearly Toppledhawks Hero Delivers Definitive Display 8824243 📰 Financial Car Loan Calculator 3774475 📰 Connections Hint May 1 9076349 📰 Verizzon 6497992 📰 Sweet Pool Game 9256303 📰 Graduation Hats You Need These Unique Designs Will Steal The Spotlight Like Never Before 9084618 📰 Camp Pendleton Ca 7657191 📰 Best Zombie Steam Games 338685