0 bcz modulas function every negative no. in positive
therefore it becomes 6 - 6 I.e equal to 0
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:
1:05 p.m
Step-by-step explanation:
they took 35 minutes...... and they arrived at 1:40 p.m so 40-35= 5 = 1:05 p.m :)
If Henry is starting a t-shirt printing business and plans on selling each shirt for $30, with his cost being $8 per shirt, then the domain of this function in this context is {0 ≤ x ≤ 600}. The correct answer to the following given statement above is letter B.
Directly proportional to x
z=kx
And inversely proportional to y
z=kx/y we are given the point (x,y,z) of (3, 6, 9.5) so
9.5=3k/6 now multiply both sides by 6
57=3k divide both sides by 3
19=k so now that we know the constant of proportionality:
z=19x/y, and we want to solve for z when x=8 and y=12 so:
z=19(8)/12
z=12 2/3 exact
z≈12.667 (rounded to the nearest thousandth)