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A bug is crawling on the coordinate plane from (5,9) to (-15,-7) at constant speed one unit per second except in the second quadrant where it travels at 1/2 units per second. What path should the bug take to complete its journey in as short a time as possible? i have the answer already, it is from (5,9) to the origin and then to (-15,-7) i just want to know a proof to explain why this is the shortest time
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