Answer:
\tan \left(\frac{\sin \left(x\right)-\cos \left(x\right)}{\cos \left(x\right)+\sin \left(x\right)}\right)
Step-by-step explanation:
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:
Step-by-step explanation:
( - ∞ , - 3 ) ∪ [ - 1 , ∞ )
Step-by-step explanation:
We have that point A is at 3.
This is 3 units to the right of 0 on the number line.
The point that is opposite of A should be 3 units to the left of 0.
That point will be at -3.
Therefore you have to choose the point that is on -3.
It should be similar to one in the attachment.
Y = 172.972972972...
You need to isolate the variable, y. To do this, you need to divide both sides of the equation by 0.74. This gives you your final answer.
