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Alecsey [184]
3 years ago
7

last week the game system was $450. This week the system is on sale for $337.50. By what percent is the price reduced?

Mathematics
1 answer:
zheka24 [161]3 years ago
8 0
25% reduced
you take 337.50 divide by 450 which gives you .75
so you take 100% minus 75% and you get 25%

you can check the work by taking 450 time .25 which gives you 112.5 . and subtract that from 450 you'll end up with 337.50
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What is 3 raised to the power of 1?
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Step-by-step explanation:

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2 years ago
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Luba_88 [7]

Answer:

We know that the equation of the circle in standard form is equal to <em>(x-h)² + (y-k)² = r²</em> where (h,k) is the center of the circle and r is the radius of the circle.

We have x² + y² + 8x + 22y + 37 = 0, let's get to the standard form :

1 - We first group terms with the same variable :

(x²+8x) + (y²+22y) + 37 = 0

2 - We then move the constant to the opposite side of the equation (don't forget to change the sign !)

(x²+8x) + (y²+22y) = - 37

3 - Do you recall the quadratic identities ? (a+b)² = a² + 2ab + b². Now that's what we are trying to find. We call this process <u><em>"completing the square"</em></u>.

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y²+22y = (y²+22y+11²)-11² = (y+11)²-11²

4 - We plug the new values inside our equation :

(x+4)² - 4² + (y+22)² - 11² = -37

(x+4)² + (y+22)² = -37+4²+11²

(x+4)²+(y+22)² = 100

5 - We re-write in standard form :

(x-(-4)²)² + (y - (-22))² = 10²

And now it is easy to identify h and k, h = -4 and k = - 22 and the radius r equal 10. You can now complete the sentence :)

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Answer:

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Step-by-step explanation:

Comment if you do need the steps

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