Answer:
46.875
Step-by-step explanation:
A= l x w x h so you multiple all three numbers together and get your answer
Answer:
(3*9)+(3*6)
Step-by-step explanation:
Answer:
-8, -7
Step-by-step explanation:
f(x)=x^2+15x+56
0 =x^2+15x+56
What two numbers multiply together to make 56 and add together to 15
7*8 = 56
7+8=15
0 = (x+8) (x+7)
Then use the zero product property
x+8 =0 x+7 =0
x+8-8 =0-8 x+7-7 =0-7
x=-8 x=-7
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:


