Answer:
1).B
2).A
3).D
4).B
5).C
6).D
7).D
8).B
9).C
10). I believe it is A
Step-by-step explanation:
I'm sorry, i do not know how to explain this, I hope I helped you in some way and I hope these answers work for you :)
Answer:
centre = (- 3, - 2) , radius = 1
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 + 6x + y² + 4y + 12 = 0 ( subtract 12 from both sides )
x² + 6x + y² + 4y = - 12
Use the method of completing the square on the x and y terms
add ( half the coefficient of the x/ y terms )² to both sides
x² + 2(3)x + 9 + y² + 2(2)y + 4 = - 12 + 9 + 4
(x + 3)² + (y + 2)² = 1 ← in standard form
with centre = (- (- 3), - (- 2)) and r² = 1, that is
centre = (- 3, - 2) and radius = 1
Answer:
C
Step-by-step explanation:
Let us factor out the 5:
5*x + 5*2y- 5*3
5(x+2y-3)
Therefore, C
<em>I hope this helps! :)</em>
