Given:
The equation of a circle is
To find:
The center and radius of the given equation by completing the square.
Solution:
The standard form of a circle is
...(i)
where, (h,k) is center and r is radius of the circle.
We have,
It can be written as
...(ii)
On comparing (i) and (ii), we get
Therefore, the center is and the radius is units.
Answer:
[-20.25;+∞).
Step-by-step explanation:
1) according to the properties of the given parabola the minimum is:
2) y₀=-20.25 means, the value -20.25 is minimum of the range, the maximum →+∞;
3) finally, the range y≥-20.25.
The shaded part’s area would be 135 in