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max2010maxim [7]
3 years ago
15

An archway is modeled by the equation y = -2x2 + 8x. A rod is to be placed across the archway at an angle defined by the equatio

n x − 2.23y + 10.34 = 0. If the rod is attached to the archway at points A and B, such that point B is at a higher level than point A, at what distance from the ground level is point B? 8 units 6 units 5 units 3 units
Mathematics
1 answer:
dybincka [34]3 years ago
8 0
We need to solve the system

y = -2x^2 + 8x
y = (x + 10.34) / 2.23

-2x^2 + 8x =  0.4484x +  4.637

this gives x = 0.77 and 3

So required height = y when x = 3  =  -2(3)^2 + 8(3) =  6 feet  answer
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Number of judges = 4

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Total number of bottles total coach for 3 days will get is given by

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Number of bottles given to each judge each day = 2

Total number of bottles total judge for 3 days will get is given by

4\times 3\times 2\\\\=24

Number of cases of water bottle is given to athletes is given by

\frac{1404}{24}

Number of cases of water bottle is given to coaches is given by

\frac{63}{24}

Number of cases of water bottle is given to judges is given by

\frac{24}{24}

We need to find the fewer number of cases that all athlete , all coaches and all judges will get

\text{L.C.M. of }\frac{1404}{24},\frac{63}{24},\frac{24}{24}\\\\=\frac{L.C.M.\ of\ 1404,63,24}{H.C.F.\ of\ 24,24,24}\\\\=\frac{19656}{24}\\\\=819

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