One Section of a Suspension Bridge Hangs Between Two Towers

question 57

Multiple Choice

One section of a suspension bridge hangs between two towers that are 40 feet above the surface and 300 feet apart. A cable strung between the tops of the two towers is in the shape of a parabola with its vertex 20 feet above the surface. With axes drawn as indicated in the figure, find the equation of the parabola.

• A) x ² - 563 y + 45,000 = 0
• B) x ² - 1,125 y + 22,500 = 0
• C) x ² - 695 y + 55,600 = 0
• D) x ² - 1,390 y + 27,800 = 0
• E) x ² - 1,100 y + 22,000 = 0

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