Answer:
82
Step-by-step explanation:
2*5 + 9*8 = 10 + 72 = 82
18/1
36/2
72/4
...and many more....
Hey there! :)
Answer:
C. {x² + 4, x < 2
{-x + 4 x ≥ 2
Step-by-step explanation:
This is a piecewise function, where the two equations are different. They are:
y = x²+ 4
y = -x + 4
The function x² + 4 is graphed where x < 2. (< is used because the circle is open)
The function -x + 4 is graphed where x ≥ 2. (≥ is used since the endpoint is closed)
Therefore, the correct answer is:
C. x² + 4, x < 2
-x + 4 x ≥ 2
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)
