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.
Extrapolation is the process by which a value is estimated by using a previously known set of numbers. Interpolation is where a value is estimated between two known values. In this case, if you wanted to predict the value of the y-variable when the x-variable is 15, you would be extrapolating beyond the known data-set.
Answer:
D. The work shown above is correct, and ![y^5\sqrt[4]{y^3}](https://tex.z-dn.net/?f=y%5E5%5Csqrt%5B4%5D%7By%5E3%7D)
may not be simplified further.
Step-by-step explanation:
If you add all the exponents of y in first line then we get
4+4+4+4+4+3=23
Which is same as the exponent in original problem.
So first line is good.
Since it is 4th root so each 
will turn into y when it moves out of the radical so final answer is correct.
Hence correct choice is "D. The work shown above is correct, and may not be simplified further." is the correct answer.
Okay so, your answer should be 10. I wrote out each step but my handwriting is bad. let me know if I need to redo it for you!
