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Home » If a train travels at 60 km/h for 2.5 hours, how far does it travel? - Abbey Badges

If a train travels at 60 km/h for 2.5 hours, how far does it travel? - Abbey Badges

📅 February 26, 2026 👤 scraface

Feb 26, 2026

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D = (x - 1)^2 + (2x + 3 + 1)^2 = (x - 1)^2 + (2x + 4)^2
Expanding:
D = (x^2 - 2x + 1) + (4x^2 + 16x + 16) = 5x^2 + 14x + 17
\(D' = 10x + 14\). Set to zero:
\(10x + 14 = 0 \Rightarrow x = -rac{7}{5}\)
Then \(y = 2(-rac{7}{5}) + 3 = -rac{14}{5} + rac{15}{5} = rac{1}{5...
Thus, the closest point is \(\left(-rac{7}{5}, rac{1}{5}
ight)\)
oxed{\left(-rac{7}{5},\ rac{1}{5}
Question: Find the minimum value of \((\cos x + \sec x)^2 + (\sin x +...

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