Answer:
Let's solve!
Step-by-step explanation:
I hope this helps!
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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:
7√2 units
Step-by-step explanation:
The distance between two points having coordinates (x1, y1) and (x2, y2) is given by,
Here, x1=-4 and y1=2
x2=3 and y2=-5
Answer:
Step-by-step explanation:
Distance Formula: 
Simply plug in your 2 coordinates into the distance formula to find distance <em>d</em>:
Answer:
B (2, 2)
Step-by-step explanation:
Given the graphs of a system of equations then the solution is at the point of intersection of the 2 lines.
That is (2,2) ← is the solution → B
