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geniusboy [140]
3 years ago
13

Identify the center and radius of each circle x^2 + y^2 + 4x + 12 - 8 = 0

Mathematics
1 answer:
Elanso [62]3 years ago
8 0

Answer:

we have the centre as:

(−2,0)

radius √12=2√3

Explanation:

The standard equation of a circle is

(x−a)2+(y−b)2=r2

where (a,b)

is the centre, and

r is the radius,

we thus have to complete the square on the given equation.

x2+y2+4x−8=0

rearrange slightly

x2+4+y2−8=0(x2+4+2)+y2−8−22=0(x+2)2+y2−12=0(x+2)2+y2=12

comparing with

(x−a)2+(y−b)2=r2

we have the centre as:

(−2,0)

radius

√12=2√3

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URGENT!! PLEASE HELP!!!
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Answer:

The correct option is B.

Step-by-step explanation:

The formula for amount after compound interest is

A=P(1+\frac{r}{n})^{nt}

Where P is principal, r is rate of interest, n is number of times interest compounded in a period, t is number of years.

It is given that Felix took out an unsubsidized student loan of $40,000 at a 3.6% APR, compounded monthly. The amount after 33 month is

A=40000(1+\frac{0.036}{12})^{33}=44156.1074

The amount after 33 month is $44156.1074. So, the new principle amount is $44156.1074.

The monthly payment  of $44156.1074 for 20 years is

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m=\frac{44156.1074(\frac{0.036}{12})}{1-(1+\frac{0.036}{12})^{-20\times 12}}

m=258.362447711

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Therefore the correct option is B.

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Answer:

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