I don't see any answer choices, but because it already gives you x and y, all you have to do is plug them into the equation.
-(5)-(6)+z=0
combine like terms
-11 + z = 0
add 11 to both sides
z = 11 is your answer
Answer:
c
Step-by-step explanation:
Answer:
Step-by-step explanation:
In order to find the center and the radius of this circle, you have to complete the square on it. And only for the x-terms, because the y term is squared and there is no other y term. We'll get to that in a second.
Take half the linear x-term, square it and add it to both sides. Our linear term is 10. Half of 10 is 5, and 5 squared is 25. We add 25 to both sides:
The reason we do this is to create a perfect square binomial inside that set of parenthesis. Simplifying the right side as well gives us:
This tells us that the center is (-5, 0). Remember when I said we would get back to the y terms? Because there was only a y-squared and no other y terms, that is the same as writing the equation as
The radius is the square root of the constant. So the radius is 6.
D is the graph you want.
Answer:
The first step is to divide all the terms by the coefficient of 
which is 2.
The solutions to the quadratic equation 
are:
Step-by-step explanation:
Considering the equation
The first step is to divide all the terms by the coefficient of which is 2.
so
Lets now solve the equation by completeing the remaining steps
Write equation in the form: 
Solving for 
,
Completing the square
Since, you had required to know the first step in completing the square for the equation above, I hope you have got the point, but let me quickly solve the remaining solution.
For 
the solution are 
Solving
∵ Applying imaginary number rule 
Similarly, solving
∵ Applying imaginary number rule
Therefore, the solutions to the quadratic equation are:
