Answer:
Center: (3, -2)
Radius: 4.
Step-by-step explanation:
The equation of a circle is (x - h)^2 + (y - k)^2 = r^2.
In this case, the equation given is (x - 3)^2 + (y + 2)^2 = 16.
That means that h = 3, and k = -2. In other words, the center of the circle is (3, -2).
The radius will be

= 4
Hope this helps!
Answer:
He can work a maximum of 2 8-hour days for the remainder of the week
Step-by-step explanation:
Firstly, from the question, we are made to know that the maximum work hours is 40 hours.
Now, we know that he has already worked 24 hours this week, the number of hours remains to work will be 40-24 = 16 hours
Now, given that his working hour is 8-hours per day, we want to know the number of days he has to work for the remainder of the week
Mathematically, that would be 16 hours divided by 8-hours days
That is 16/8 = 2
There are several information's already given in the question. based on those information's, the answer can be easily determined.
Height of the box = h cm
Length of the box = 10 cm
Width of the box = 2h
Then
Volume of the box = Length * height * width
= 10 * h * 2h cubic cm
= 20h^2 cm^3
I hope that the above procedure is clear enough for you to understand and it has actually come to your desired help.
Since we are dealing with a radical then x - 5 ≥ 0, for real values
x = 4 is less than 5 , hence is not in the domain