Answer:
(x + 1)² + (y + 3)² = 16
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Given
x² + y² + 2x + 6y - 6 = 0
Collect the x and y terms together and add 6 to both sides
x² + 2x + y² + 6y = 6
To complete the square
add ( half the coefficient of the x/ y terms )² to both sides
x² + 2(1)x + 1 + y² + 2(3)y + 9 = 6 + 1 + 9
(x + 1)² + (y + 3)² = 16
with centre = (- 1, - 3) and r =
= 4
First, make an organized list of the factors for each number. The common factors are 1, 2, 4, 8, and 16, and the greatest of these is 16. So, the greatest common factor or GCF of 48 and 64 is 16.
Answer:
the answer is vertices
hope this helps!
Step-by-step explanation:
3rd option:
is the correct answer
Step-by-step explanation:
First of all, we have to observe the number line
Observing the number line we can see that the number -0.5 or -1/2 is not included in the solution as the circle on -1/2 is empty. An empty circle means that the number is not included in the solution.
While on the other side we can see that 3 has a filled circle which means 3 is included in the solution
This means that the solution might be:

By comparing the observation and the answer choices we can conclude that
3rd option:
is the correct answer
Keywords: Inequalities, solution
Learn more about inequalities at:
#LearnwithBrainly
9) 46
10) 4
11) 46
12) 5.8
13) 36
14) 34
15) 9
16) 56