Not sure what algebra tiles are
not sure how to absolutely prove
I can prove it works at least most of the time by subsitute ing number for x
remember that 0,1,2 have special properties and are not very good for subsituting so
try 4
4+8(4)=4(2(4)+1)
true or false?
4+8(4)=4(2(4)+1)
multipily
4+32=4(8+1)
36=4(9)
36=36
this is treu at least for the number 4
another way is to believe in the distributive property where
a(b+c)=ab+ac so then
4(2x+1)=4(2x)+4(1)=8x+4=4+8x
Answer: 12 hours
Step-by-step explanation:
Given : Working together, it takes Sam, Jenna, and Francisco two hours to paint one room.
When Sam works alone, he can paint one room in 6 hours. When Jenna works alone, she can paint one room in 4 hours.
Let 't' be the time taken by Francisco to paint one room on his own.
Then , we have
Rate of work of Sam +Rate of work of Jenna + Rate of work of Francisco =Rate of work they all do together

i.e. 
i.e. 
i.e. 
i.e. 
i.e. 
i.e. 
i.e. t= 12
Hence, Francisco would take 12 hours to paint one room on his own.
Answer:
The area of the figure is 1,000 square feet
Step-by-step explanation:
we know that
The area of the kite ABCD
is equal to
![A=\frac{1}{2}[AC*BD]](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%5BAC%2ABD%5D)
where
AC and BD are the diagonals of the kite
we have

substitute
![A=\frac{1}{2}[40*50]=1,000\ ft^2](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%5B40%2A50%5D%3D1%2C000%5C%20ft%5E2)
The answer to the question is b