Nine more than a variable "a".
Answer: B. The coordinates of the center are (-3,4), and the length of the radius is 10 units.
Step-by-step explanation:
The equation of a circle in the center-radius form is:
(1)
Where
are the coordinates of the center and
is the radius.
Now, we are given the equation of this circle as follows:
(2)
And we have to write it in the format of equation (1). So, let's begin by applying common factor 2 in the left side of the equation:
(3)
Rearranging the equation:
(4)
(5)
Now we have to complete the square in both parenthesis, in order to have a perfect square trinomial in the form of
:
<u>For the first parenthesis:</u>

We can rewrite this as:

Hence in this case
and
:

<u>For the second parenthesis:</u>

We can rewrite this as:

Hence in this case
and
:

Then, equation (5) is rewritten as follows:
(6)
<u>Note we are adding 9 and 16 in both sides of the equation in order to keep the equality.</u>
Rearranging:
(7)
At this point we have the circle equation in the center radius form 
Hence:



Answer:
The answer is that both plans are equal.
Step-by-step explanation:
you start by putting the plans into an equation then you set them equal to each other. you need to assign a variable for the number of months. we'll call it M. It would look like this:
plan A - 25 + 8M
plan B - 5 + 12M
25 + 8M = 5 + 12M
Then you solve which looks like this:
25 + 8M = 5 + 12M
-8M -8M
25 = 5 + 4M
-5 -5
20 = 4M
/4 /4
5 = M
Now we aren't done after finding out what M equals. We still need to know what each plan will cost. So, we substitute what M equals into the equation. if they both end up equaling the same thing then its equal. if you get two different numbers they aren't. it would look like this:
25 + 8(5) = 5 + 12(5)
25 + 40 = 5 + 60
65 = 65
They are equal. Both plans will cost 65 dollars.
Answer:
The triangle will be same to the first triangle only its side would be changed. The triangle will be congruent to the first triangle. The triangle formed will be the same as the first.
Step-by-step explanation: