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mel-nik [20]
4 years ago
10

Two wheels rolled simultaneously. The radius of the smaller wheel is r feet and the radius of the larger wheel is 2r feet If bot

h wheels did a total of 4 rotations, how much farther did the larger wheel travel?
Mathematics
1 answer:
Mnenie [13.5K]4 years ago
6 0
The smaller wheel rolled
.. 4*2πr = 8πr . . . . feet

The larger wheel rolled
.. 4*2π*2r = 16πr . . feet

The larger wheel traveled (16πr -8πr) = 8πr feet farther than the small wheel.
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Answer:

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Step-by-step explanation:

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a(x + b)² + c ← expand (x + b)² using FOIL

= a(x² + 2bx + b²) + c ← distribute parenthesis by a

= ax² + 2abx + ab² + c

Compare like terms with f(x) = 2x² - 12x + 10

Compare coefficients x² term

a = 2

Compare coefficients of x- term

2ab = - 12, substitute a = 2

2(2)b = - 12

4b = - 12 ( divide both sides by 4 )

b = - 3

Compare constant term

ab² + c = 10 , substitute a = 2, b = - 3

2(- 3)² + c = 10

18 + c = 10 ( subtract 18 from both sides )

c = - 8

Then a = 2, b = - 3, c = - 8

 

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Answer:

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