Answer:
Eq: (x+a/2)²+(y+1)²=(a²-8)/4
Center: O(-a/2, -1)
Radius: r=0.5×sqrt(a²-8)
Mandatory: a>2×sqrt(2)
Step-by-step explanation:
The circle with center in O(xo,yo) and radius r has the equation:
(x-xo)²+(y-yo)²=r²
We have:
x²+y²+ax+2y+3=0
But: x²+ax=x²+2(a/2)x+a²/4-a²/4= (x+a/2)²-a²/4
And
y²+2y+3=y²+2y+1+2=(y+1)²+2
Replacing, we get:
(x+a/2)²-a²/4+(y+1)²+2=0
(x+a/2)²+(y+1)²=a²/4-2=(a²-8)/4
By visual inspection we note that:
- center of circle: O(-a/2, -1)
- radius: r=sqrt((a²-8)/4)=0.5×sqrt(a²-8). This means a²>8 or a>2×sqrt(2)
Answer:
Ang SAgot ay pukingina ka
Total number of marble = 10
3green
2red
5 blue
Probability that the first marble is red = 2/10
Probability that the second is blue = 5/9(a reduction in the total number of marbles, because after the first marble was picked it wasn't replaced)
Probability of 1st and 2nd being red and blue respectively = 2/10 × 5/9
=1/9....
Hope this helped...?
Answer:
false
Step-by-step explanation:
if you simplify you get 5x+4=5x-10, which is false
