Dhjddjdjjdjfjcfjfjfjfjddjsjdhfjfjfjfjfjffghhhh
Answer:
C
Step-by-step explanation:
The vertex form of the equation of a circle is 
where (h,k) is the center of the circle and r is the radius. This means that for the circle with center (-3,1) and radius 5 substitute into the vertex form these values. Substitute h = -3, k= 1, and r = 5. The equation becomes 
. This simplifies to 
. The solution is C.
Answer:
Anya is incorrect.
Step-by-step explanation:
=)
The correct answer is x = −1 or x = 7
=)
Answer:
Step-by-step explanation:
The closed dot at (0, 9) indicates that that's where the graph begins. The arrow at the other end indicates that it has no end. Since the domain covers x values only (NOT Y VALUES!), we only need be concerned with the x values. It starts at x = 0 and never ends, so the domain is properly stated as
{x | x ≥ 0}
First, notice that the series you wrote is
∑ (-3)(n) for n ∈ [0,5]
There is a general formula for the sum of a basic geometric series that you should know or learn.
Here's a hint: How can you simplify the product of (1-x) and a summation, for n∈ [0,N], of all the n'th powers of x ((1-x)·∑ xn for n∈ [0,N])?
You can see you have to perform a distributive multiplication here, and if you write out the first three or four terms, and the last three or four terms, you should see a lot of cancellation going on. Pay special attention to what happens at n=0, n=N.
(x0+x1+x2+...+xN-2+xN-1+xN)-(x1+x2+...+xN-1+xN+xN+1)
Notice how all the values in between end up cancelling?
You can use your result to find an appropriate formula. In your case, x is 3. N is 5.
If your answer is correct, your formula will work for summing up any number of terms of any geometric series (any value of x and any value N). It is easy to compare your answer using your formula to the answer found manually by actually adding up all the terms.
