Complete question is;
An architect plans to build an extension to meiling's rectangular deck. Let x represent the increase, in meters, of her deck's length. The expression 4(x+8) represents the area of the deck, where 4 is the width, in meters, and (x+8) represents the extended length, in meters. Use distributive property to write an expression that represents the total area of meilings new deck.
Answer:
4x + 32
Step-by-step explanation:
We are told that the expression 4(x+8) represents the area of the deck.
Also, that 4 is the width, in meters, and (x+8) represents the extended length, in meters.
Thus, area is;
A = 4(x+8)
Using distributive property simply means we will distribute the term outside the bracket to each term inside the bracket.
Thus;
A = (4 * x) + (4 × 8)
A = 4x + 32
First use distributive property:
4(5x - 6) - 4(2x + 1)
20x - 24 - 8x - 4
Then add like terms:
12x - 28
3x + 8(2) = 19, 3x + 16= 19 , 3x=3 , x =1
Remember
the deritivive of f(x)/g(x)=(f'(x)g(x)-g'(x)f(x))/((g(x))^2)
deritivive of lnx is 1/x
derivitive of t^2=2t
so
=
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