Answer:

Step-by-step explanation:
The equation of a circle in standard form is

You are given

In order to put the equation in standard from, we need to complete the square. Since there is no y term, the y part is simply y^2, and there is no need to complete the square for y. For x, we do have an x term, so we must complete the square in x.
Start by grouping the x terms and subtracting 45 from both sides.

Now we need to complete the square for x.

The number that completes the square will go in the blank above, and it will also be added to the right side of the equation.
To find the number you need to add to complete the square, take the coefficient of the x term. It is -18. Divide it by 2. You get -9. Now square -9 to get 81. The number that completes the square in x is 81. Now you add it to both sides of the equation.


Answer: 
Answer:
91 ways. So the answer to the problem's question is THIS : in 15*91 = 1365 ways.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
elves in 1000 years = elves now x (rate of increase)^time
elves increase every century. there are ten years in a century. thus time = 1000/100 = 10 years
144 x (3)^10 = 8,503,056 elves
Answer:
B
Step-by-step explanation:
175+(-16) is the same as 175-16, because you can carry the negative. 175-16=159, which is B.
First part is easy.
180 rows with 328 per row is 180x328=59,040
Now he says 15 hours. So 59040/15=3936