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liraira [26]
3 years ago
14

YOU WILL GET BRAINIEST PLEASE ANSWER 20 POINTS!!!!!

Mathematics
1 answer:
Georgia [21]3 years ago
4 0

Answer:

  Both A and B . . . . . and 2 more answers

Step-by-step explanation:

Completing the square, you get

  tan²(x) -tan(x) +0.25 = 2.25 . . . . . add 0.25

  (tan(x) -0.5)² = 1.5²

  tan(x) = 0.5 ± 1.5 = {-1, 2}

For tan(x) = -1, the solutions are ...

  x = arctan(-1) = 135°, 315°

For x = 2, the solutions are ...

  x = arctan(2) ≈ 63.435°, 243.435°

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Let x represent the speed of the first train in mph. Since the second train, is 30 mph faster then the first, therefore the speed of the second train is (x + 30).

The first train leaves at 1:00 pm, therefore at 6:00 pm, the time taken is 5 hours. Therefore the distance covered by the first train at 6:00 pm = x mph * 5 hours = 5x miles

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