Two circles, called c1 and c2, are graphed below. the center of c1 is at the origin, and the center of c2 is the point in the first quadrant where the line y=x intersects c1. suppose c1 has radius 2. c2 touches the x and y axes each in one point. what are the equations of the two circles?

The equation of is:  

and the equation of is:  

Step-by-step explanation:

The standard form of circle equation: , where is the center and   is the radius of the circle.

The center of the circle is at origin or at (0, 0)  and has radius of 2.

So, the equation of the circle will be........

Now, the center of is the point in the first quadrant, where the line intersects

Solving the equations   and , we will get......

 (Substituting as )

So,  

Thus, the center of the circle will be at    (Negative value is ignored as the point is in first quadrant)

Now, the distance between the center of and the x-axis is and the circle touches the x-axis only at one point.

That means, the radius of the circle will be also

So, the equation of the circle will be......

2^y = ln 5, or   y(ln 2) = ln 5.   solving for y,   y = (ln 5) / (ln 2).   y=5

step-by-step explanation:

idk

step-by-step explanation:

use that smart brain