Answer:
(x +4)^2 -45
Step-by-step explanation:
The square of a binomial has the form ...
(x +a)^2 = x^2 +2ax +a^2
That is, the constant term (a^2) is the square of half the coefficient of the linear term: (2a/2)^2 = a^2.
To "complete the square", you add 0 in the form of the desired constant added to its opposite. Here, we want the constant for the square to be (8/2)^2 = 16. So, we can add 0 = 16 -16 to the expression:
x^2 +8x +16 -29 -16
(x^2 +8x +16) -45 . . . . group the terms that make the square
(x +4)^2 -45 . . . . rewritten after completing the square
Answer with Step-by-step explanation:
We are given that A, B and C are subsets of universal set U.
We have to prove that
Proof:
Let x
Then 
and 
When 
then 
but 
Therefore, 
but 
Hence, it is true.
Conversely , Let 
but 
Then 
and
When 
then
Therefor,
Hence, the statement is true.
Hey Gary!
The volume of a cylinder is PiR^2h, or 3.14(r^2)h.
Let's define our measures.
Pi is 3.14 (simplified). However, our answer is requested in terms of Pi.
Our radius is 5.
Our height is 14.
Let's plug in our numbers.
5^2 • 14 • Pi
5^2 = 25
25 • 14 = 350.
350Pi is our answer.
However, rememver that we need to end our answer in units cubed, as we are using a 3-dimensional figure. Our answer is 350Pi in^3.
Your answer is B.)
I hope this helps!
Let's solve for h
hx = 0.5x - 9
Step 1: Divide both sides by x.
hx/x = 0.5x - 9/ x
Answer = h = 0.5x - 9/ x
Answer:
C. 39.6
<em>good luck, i hope this helps :)</em>
