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Shamasen1
08.12.2020 •
Mathematics
Charlotte is traveling 15 meters per second. Which expression could be used to convert this speed to kilometers per hour?
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Ответ:
x - 90
Step-by-step explanation:
The area of a rectangle is length times width. If the width is x - 60, then the length times x - 60 equals x^2-150x+5400. Let the length be l. Then:
First, we must factor the right hand side of the equation. We need two numbers that multiply to 5400 and sum to -150. Because two numbers that are negative multiplied together equals a positive number, we can just have two negative numbers that multiply to 5400 and sum to -150. Because -150 is so far from 5400, the multiples must be close to each other. We see that 60 times 90 are the closest multiples, and that 60+90 = 150.
We can factor this as (x - 60)(x-90):
Dividing both sides by (x - 60), we have: