Answer: 12(a+5)
Step-by-step explanation: factor out 12 from the expression
ANSWER 12(a+5)
The standard form of a quadratic equation is

, while the vertex form is:

, where (h, k) is the vertex of the parabola.
What we want is to write

as

First, we note that all the three terms have a factor of 3, so we factorize it and write:

.
Second, we notice that

are the terms produced by

, without the 9. So we can write:

, and substituting in

we have:
![\displaystyle{ y=3(x^2-6x-2)=3[(x-3)^2-9-2]=3[(x-3)^2-11]](https://tex.z-dn.net/?f=%5Cdisplaystyle%7B%20y%3D3%28x%5E2-6x-2%29%3D3%5B%28x-3%29%5E2-9-2%5D%3D3%5B%28x-3%29%5E2-11%5D)
.
Finally, distributing 3 over the two terms in the brackets we have:
![y=3[x-3]^2-33](https://tex.z-dn.net/?f=y%3D3%5Bx-3%5D%5E2-33)
.
Answer:
After a series of calculations using the interest formula:
The best and most correct answer among the choices provided by your question is the second choice or letter B "$0.18."
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Answer:
I don`t see the attachment
Step-by-step explanation:
Answer:
Part 1) 
Part 2) 
Part 3) 
Step-by-step explanation:
see the attached figure to better understand the problem
step 1
Find the value of x
we know that
---> by addition segment postulate
we have

substitute

solve for x




step 2
Find the value of EF

substitute the value of x

step 3
Find the value of FG

substitute the value of x
