The circle below is centered at (2, 3) and has a radius of 4. what is its equation?

The equation is x² + y² - 2x - 3y - 3 =0

Step-by-step explanation:

To find the equation of a circle centered at ( 2,3 ) and having a radius of 4, all we simply do is to use the equation of a circle formula and then simplify,

Equation of a circle : (x - a)² + (y-b)² = r²

where (a,b) are the points at the center of the circle and r is the radius.

In the question given to us, point a and b are 2 and 3 respectively and our radius r=4, so all we need to do is to plug in these values into our equation;

(x - 2)² + (y-3)² = 4²

Now we will open the bracket and then simplify

x² - 2x + 4 + y² - 3y + 9 = 16

we can rearrange this equation;

x² + y² - 2x - 3y + 4 + 9 = 16

x² + y² - 2x - 3y + 13= 16

subtract 16 from both-side of the equation;

x² + y² - 2x - 3y + 13 - 16= 16 - 16

x² + y² - 2x - 3y - 3 = 0

Therefore, the equation of the circle is; x² + y² - 2x - 3y - 3 = 0

what do you mean by fog

step-by-step explanation:

a line is an defined derm because it

a)contains an infinite number of points b) can be used to create other geometric shapes c)describes something that does not have width or depth d) is a term that does not have a formal definition. a line is an undefined term because it: contains an infinite number of points.