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emmasim [6.3K]
3 years ago
15

2 PUNTS

Mathematics
1 answer:
xz_007 [3.2K]3 years ago
8 0

Answer:

x^2  +  y^2  = 4

Step-by-step explanation:

The center-radius form (formally called the standard form) of a circle is

(x-h)^2+(y-k)^2=r^2 where (h,k) is the center and r is the radius.

So if we replace (h,k) with (0,0) since the center is the origin and r with 2 since the radius is 2 we get:

(x-0)^2+(y-0)^2=2^2

Let's simplify:

x^2  +  y^2   = 4

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<h3>to understand this</h3><h3>you need to know about:</h3>
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  1. \sf substitute \: the \: value \: of \: y :  \\  \sf  - x + 2 = 3x - 4
  2. \sf add \: x \: to \: both \: sides :  \\  \sf  - x + x + 2 = 3x + x - 4 \\  \sf 4x - 4 = 2
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  4. \sf divide \: both \: sides \: by \: 4 :  \\  \frac{4x}{4}  =  \frac{6}{4}  \\ x =  \frac{3}{2}

let's figure out y

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  2. simplify multiplication:9/2 -4
  3. simplify division:4.5-4
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