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Thepotemich [5.8K]
3 years ago
12

Graph the circle x^2+y^2+2x+4y-44=0

Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
6 0

Answer:

See explanation

Step-by-step explanation:

First, convert this to standard form. By completing the square, you can do the following:

(x^2+2x+1)-1+(y^2+4y+4)-4-44=0

(x+1)^2+(y+2)^2=49

This is a circle with center (-1,-2), and radius 7. It looks like the one I graphed below. Hope this helps!

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The population of a town is 15,000. It decreases at a rate of 8% per year. In about how many years
Paha777 [63]

Answer:

5

Step-by-step explanation:

If a population is decreasing by 8% we can multiply the population by 92% (1-.08)

which means we have the following equation

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where n is the number of years

we want to know when the population will be 10,000 so we write

10,000=15,000(.92)ⁿ

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a rule we have is

n=y^x\\log_yn=x

which means that

.66667=.92^n\\=log_{.92}.66667

compute this and get

4.867

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