Answer:
A) 
Step-by-step explanation:
The equation of a circle is
where
is the center and
is the radius. If
and
, then:

Therefore, the equation of the circle is 
The derivative of (x+1)^2, for this you use the chain rule, to get 2x+2.
Answer:
Equivalent systems of equations review
Step-by-step explanation:
We're given two systems of equations and asked if they're equivalent.
x + 4y = 8 (1)
4x + y = 2 (2)
Interestingly, if we sum the equations in System A, we get:


Replacing the first equation in System A with this new equation, we get a system that's equivalent to System A:


This is System B, which means that System A is equivalent to System B.
Answer: X=1
Step-by-step explanation: 5x+8-3x=10
Combine like terms; 5x + (-3x) = 2x
Rewrite; 2x+8=10
Get “x” alone; 2x+8=10
-8. -8
Simply divsion; 2x=2
X=1
6^2 = x (x - 9)
x^2 - 9x - 36 = 0
(x -12)(x + 3) = 0
x - 12 = 0; x = 12
x +3 = 0; x = -3
so in this case x = 12 then DC = 12 - 9 = 3
y^2 = 12^2 - 6^2
y^2 = 144 - 36
y^2 = 108
y = 10.4