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Evgen [1.6K]
2 years ago
15

The arch of the Gateshead Millennium Bridge forms a parabola with equation:

Mathematics
1 answer:
Svetlanka [38]2 years ago
5 0

Answer:

  about 106 meters

Step-by-step explanation:

The difference in x-values when y=0 is found by solving ...

  0 = -0.016(x -52.5)² +45

  -45 = -0.016(x -52.5)² . . . . . . subtract 45

  45/0.016 = (x -52.5)² . . . . . . . divide by the coefficient of the squared term

  ±√2812.5 = x -52.5 . . . . . . . . take the square root

  x = 52.5 ±√2812.5 . . . . . . . . .add 52.5. These are the x-values where y=0.

So, the difference in x-values at y=0 is ...

  (52.5 +√( )) - (52.5 -√( )) = 2√2812.5 ≈ 106.07 . . . . meters

The width of the arch at ground level is about 106 meters.

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What is the answer and steps to do it 45 +5/6x =50
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<span><span>Equation:- 45+<span><span>5/6 </span>x</span></span>=50
</span>1) Simplify both sides of the equation. <span><span><span><span>5/6 </span>x </span>+ 45 </span>= 50
</span>2) Subtract 45 from both sides. <span><span><span><span><span>5/6 </span>x </span>+ 45 </span>− 45 </span>= <span>50−45 </span></span><span><span><span>5/6 </span>x</span>=5
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</span>
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3 years ago
<img src="https://tex.z-dn.net/?f=4%20%5Ctimes%20%20%7B8%7D%5E%7Bx%20%2B%201%7D%20%20%3D%20%20%7B2%7D%5E%7B2x%7D%20" id="TexForm
Olin [163]

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2 years ago
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