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
(-3y^2 − 8) − (-5y^2<span> + 1)
= </span>-3y^2 − 8 + 5y^2<span> - 1
= 2</span>y^2 <span>- 9
answer is
</span>2y^2 - 9<span>
</span>
44,000
38,720
34,073.60
29,984.77
26,386.60
Answer:7/8
A coin is tossed 3 times. The probability of getting at least one head is 7/8.
Answer: 4 apples for $3.64
Step-by-step explanation:
The best buy is going to be the one that costs the least. To figure this out, you divide the number of apples by the price. (do not round)
4/3.64=1.09
9/8.01=1.23
14/12.43=1.12
24/21.12=1.13
As you can see, the 4 apples for $3.64 is the better choice since the number is the least.