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N76 [4]
3 years ago
5

Factor The Expression And Show Work

Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
4 0

Answer:

\large\boxed{16\pi k^2-16\pi k+4\pi m^2=(4\pi)(4k^2-4k+m^2)}

Step-by-step explanation:

16\pi k^2-16\pi k+4\pi m^2=(4\pi)(4k^2)-(4\pi)(4k)+(4\pi)(m^2)\\\\=(4\pi)(4k^2-4k+m^2)

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7.5 hours

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Using the variable 't' for time, you can set up an equation to find out how long it will take the truck to catch up to the  bus.  Since the bus is traveling at 60mph and the truck is traveling 1 2/3 times faster, we need to first find the rate of the truck:

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60t = 100(t - 3)  or 60t = 100t - 300

Solve for 't':  60t - 100t = -300 or -40t = -300  so, t = 7.5 hours

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