Answer:
Step-by-step explanation:
The function that we have to study in this problem is
The domain of a function is defined as the set of all the possible values of x that the function can take.
For a square-root function, there are some limitations to the possible value of the argument in the root.
In particular, the argument of a square root must be equal or greater than zero, because the square root of a negative number is not defined.
Therefore, in this case, we have to set the following condition for the domain:
And by solving, we get
which means that the domain of this function is all real numbers equal or greater than 5.
Answer:
The equation of the circle is
(x + 2)² + (y + 2)² = 9
Centered at (-2, -2), with radius of 3 units.
Step-by-step explanation:
The general equation of a circle is given as
(x - h)² + (y - k)² = r²
Where (h, k) is the center of the circle, and r is the radius.
Looking at the graph, the center is the red dot. It corresponds to -2 on the y-axis, and -2 on the x-axis. So, the center (h, k) is (-2, -2).
The radius is the distance from the center of the circle to the edge of the circle. The red dot is the edge of the circle, there are 3 lines that represent 3 units, so we have a radius of 3 units.
Using these in the general equation, we have
[x - (-2)]² + [y - (-2)]² = 3²
(x + 2)² + (y + 2)² = 9
And this is the equation.
Answer:
- 8+w/4
- Putting w = 16
- 8+16/4
- (32+16)/4
- = 48/4
- = 12
Step-by-step explanation:
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so, three bags can be filled and 0.33 or 0.33*(1/3) =11/100 nails will be left
Step-by-step explanation:
We will get the number of bags that can be filled from 5/12 by dividing the total amount by the 1/8
Given
Total nails in bag = 5/12 pounds
The capacity of small bag = 1/8 pounds
So,
so, three bags can be filled and 0.33*(1/3) = 11/100 nails will be left
Keywords: Division, Quotient
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