The correct answer is:
(x + 3)^2 + (y + 2)^2 = 4^2, so the center is (–3, –2)
Further explanation:
The given equation of circle is:
In order to complete the square the terms have to be combined first
9 and 4 will be added to both sides of the equation to complete the square
The next step completes the work
Comparing with the standard form of circle
As the centre is (h,k), the centre of given circle will be:
(-3,-2)
Hence the correct answer is:
(x + 3)^2 + (y + 2)^2 = 4^2, so the center is (–3, –2)
Keywords: Circle, Equation of Circle
Learn more about equations of circles at:
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Answer:
y = 4,-6
Step-by-step explanation:
0 property states that 0 times any number is 0
applying that here, that means y+6 = 0 or y-4 = 0
0(y-4) = 0; (y+6)(0) = 0
y+ 6 = 0
y = -6
y-4 = 0
y = 4
Answer:
Graph 1: Consistent Dependent
Graph 2: Consistent Independent
Graph 3: Consistent Dependent
Graph 4: Inconsistent
Step-by-step explanation:
Consistent means they have at least one solution. So lines that intersect once or lines that intersect infinitely many times are both consistent systems.
If they are the system that has one solution they are considered independent.
If they are the system that has infinitely many solutions then are considered dependent.
Inconsistent means they won't intersect at all.
First graph shows the same line graphed onto itself. That means they have infinitely many solutions and is therefore a consistent dependent system.
Second graph shows the lines intersecting once. That means they have one solution and therefore is a consistent independent system.
Third graph shows the same description of graph one and is therefore a consistent dependent system.
The last graph shows parallel lines. Parallel lines do not intersect and therefore do not have a solution. So this system is inconsistent.