Answer:

Step-by-step explanation:
The standard equation for circle is

where point (a,b) is coordinate of center of circle and r is the radius.
______________________________________________________
Given
center of circle =((-2,3)
let r be the radius of circle
Plugging in this value of center in standard equation for circle given above we have

Given that point (1,2 ) passes through circle. Hence this point will satisfy the above equation of circle.
Plugging in the point (1,2 ) in equation 1 we have

now we have value of r^2 = 10, substituting this in equation 1 we have
Thus complete equation of circle is 
So whats the answer. please help me I got a test of this
C,D and F are correct.
C is what you would think of when reading it, you walked 12 and walked 1/4(12) more.
12 + 12(1/4) =
12 + 3 =
15
D is equal to C when simplified,
12(1+1/4) =
12 + 3 =
15
F is the same as the D, it just simplified the numbers in the parenthesis
12(1+1/4) =
12(4/4 + 1/4) =
12(5/4) =
15
7.6 - 5(k + 1.1) = 1.6
7.6 - 5(k + 1.1) - 7.6 = 1.6 - 7.6
-5(k +1.1) = -6
-5(k + 1.1) -6
-------------- = ---------
-5 -5
k + 1.1 = 6
-----
5
k + 1.1 - 1.1 = 6
----- - 1.1
5
k = 0.1