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Pani-rosa [81]
3 years ago
14

Two 100-w light bulbs used a total of 400wh of energy. For how many hours did the light bulbs use power?

Mathematics
1 answer:
kvasek [131]3 years ago
4 0
I'm assuming that you meant to write 'two 100-w per hour light bulbs used a total of 400w. how many hours did the bulbs run'




so each used 100w per hour and there are 2 light bulbs so in 1 hour 200w is used
200wh times x hour=200wx=400w
divide both sides by 200w
x=2
they ran for 2 hours
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To find the slope intercept form given a couple of points, start by finding the slope using the slope equation.

m(slope) = (y2 - y1)/(x2 - x1)

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m = -5/5

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Now we look for the intercept using slope intercept form, our slope and a point.

y = mx + b

0 = -4(-1) + b

0 = 4 + b

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Now we can use those two things top model the equation.

y = -x - 4

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The roots of the quadratic equation $z^2 + bz + c = 0$ are $-7 + 2i$ and $-7 - 2i$. What is $b+c$?
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Step-by-step explanation: Given the quadratic equation $z^2 + bz + c = 0$, Vieta's formulas tell us the sum of the roots is $-b$, and the product of the roots is $c$. Thus,

\[-b = (-7 + 2i) + (-7 - 2i) = -14,\]so $b = 14.$

Also,

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There are many other solutions to this problem. You might have started with the factored form $(z - (-7 + 2i))(z - (-7 - 2i)),$ or even thought about the quadratic formula.

This is the aops answer :)

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15                                -15                                   |15|

-93                                93                                 |93|

56                                 -56                                 |56|

-87                                87                                   |87|

Step-by-step explanation:

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