A rug maker is using a pattern that is a rectangle with a length of 96 inches and a width of 60 inches. The rug maker wants to increase each dimension by a different amount. Let l and w be the increases in the length and width. Write and simplify an expression for the perimeter of the new pattern.
p=2(96+l)+2(60+w)
This is the equation. p is for perimeter. (96+l) represents the original length plus the change in length. The 2 before (96+l) represents that there is one length on each side of the rectangle.
Same for the width. (60+w) represents the original width plus the change in width. The 2 before (60+w) represents that there is one width on each side of the rectangle.
The simplified equation is p=(192+2l)+(120+2w) (this is your answer)
I hope this helps!
Answer:
Option B - 
Step-by-step explanation:
Given : Expression 
To find : Expand each expression ?
Solution :
Using logarithmic properties,

and 
Here, A=4y^5 and B=x^2



Using logarithmic property, 

Therefore, option B is correct.
Answer:
The answer is A.
Step-by-step explanation:
thats what i think
1st one
√4*10 = 2√10
answer
D. 2√10
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2nd pic
√3*48 = √144 = 12
answer
A. 12
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3rd pic
√5*125 = √625 = 25
answer
B. 25
Answer:
yes
Step-by-step explanation:
You can always separate an equation into two parts and see where those graphs intersect.
Joel's method works well.
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<em>Additional comments</em>
Preston should know that the invention of logarithms makes it easy to solve equations like this. x = log₂(14) = log(14)/log(2) ≈ 3.8073549.
As for Joel's method, I prefer to subtract the right side to get the equation ...
2^x -14 = 0
Then graphing y = 2^x -14, I look for the x-intercept. Most graphing calculators make it easy to find x- and y-intercepts. Not all make it easy to find points of intersection between different curves.