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MissTica
3 years ago
15

Find the equation of the line that is perpendicular to y=3/4x-3 and passes through the point (3,-2)

Mathematics
1 answer:
morpeh [17]3 years ago
4 0

Answer:

Step-by-step explanation:

perp. -4/3

y + 2 = -4/3(x - 3)

y + 2 = -4/3x + 4

y = -4/3x + 2

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One pipe can empty a tank 5 times faster than another pipe can fill the tank. Starting with a full tank, if both pipes are turne
xxTIMURxx [149]

Answer:

40 hours

Step-by-step explanation:

Let's say that the slower pipe can fill x amount of the tank in one hour. It adds x amount to the tank every hour. Therefore, we can say, for the slower pipe,

1 hour = x amount

Then, the faster pipe empties the tank 5 times faster than the slower pipe fills it, so it removes 5 times the amount that the smaller pipe puts in, so for the faster pipe,

1 hour = -5x amount (negative to symbolize removing).

For the problem at hand, the tank starts at full, or 100%=1. It ends empty, or at 0% = 0. After 10 hours, if we only account for the slower pipe, we add x amount to the tank every hour, so we add 10 times that total, resulting in

1 + 10 * x as the ending result if we don't include the faster pipe. Then, the faster pipe removes 5x every hour, so in 10 hours, it removes 50x, so we have

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1 + 10 * x - 50 * x = 0

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1 = 40 * x

divide both sides by 40 to isolate x

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Therefore, the slower pipe adds 0.025, or 1/40 = 2.5% to the tank every hour. We want to figure out how long it would take for the slower pipe to fill up an empty tank, or turn it from 0% to 100% full.

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2.5% * y = 100%

divide both sides by 2.5% to isolate y

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Answer:

there are three significant numbers

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Answer:

D or 176.71 inches squared.

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When you find 100% of a number, how does your answer relate to the original number?
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