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)
-3x+7<11
-3x<4
x>-4/3
So anything less than or equal to -4/3 does not belong to the solution set.
With your update:
"<span>The options is 4,-1,-5,and 0"
-5 does not belong to the solution set...</span>
Answer:
3, 2, 2
Step-by-step explanation:
Answer:
y = 1.0535(4.9512)^x
It can be considered a viral video
Step-by-step explanation:
Using the exponential regression calculator, the regression model obtained is :
y = 1.0535(4.9512)^x
Using the model, we can determine if a video can be considered viral ;
Number of days, x = 10
y = 1.0535(4.9512)^10
y = 1.0535(8853290.1338)
y = 9,326,941.15
Hence, video will receive way over 3 million reviews, a review of about 9,326,941, hence, it can be considered a viral video.
Answer:
Multiply the second equation by 2
Step-by-step explanation:
Given
Required
Get matching coefficient for elimination
The coefficient of x in both expressions are factors.
So, we can multiply the second equation by 2 to get the coefficient of x in the first.
i.e.
So, the system becomes:
<em>Now, x can be eliminated</em>