I believe the answer is 6
Only because I see that I can divide 3 and 2 and I know that the answer is 6
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:
r= 
Step-by-step explanation:
The sum to infinity of a geometric series is calculated as
S∞ = 
; | r | < 1
where a₁ is the first term and r the common ratio
here a₁ = 15 and S∞ = 45 , then
45 = 
( multiply both sides by (1 - r ) )
45(1 - r) = 15 ( divide both sides by 45 )
1 - r = 
= 
( subtract 1 from both sides )
- r = - 1 = - ( multiply both sides by - 1 )
r =
Answer:
A dashed line
Step-by-step explanation:
The end points of the line for the inequality would not be included since y is only greater, not greater than or equal to.
