Answer:
8(A.)
9(maybe D.)
(B.)
Step-by-step explanation:
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Which expression represents the number of feet that are in x yards?
The conversion fact is 3 feet = 1 yard.So
1 yard = 3 feet
2 yards = 2(3 feet)
3 yards = 3( 3 feet)
Thus, x yards would equal 3x feet....
Answer: C. 3x
Assign the following variables for the origina3l rectangle:
let w = width let w + 8 = length and the area would be w(w + 8) = w² + 8w
No for the second rectangle:
let (w + 4) = width and (w + 8 - 5) or (w + 3) = length
Area = length x width or (w + 4)(w + 3) = w² + 3w + 4w + 12 using the foil method to multiply to binomials. Simplified Area = w² + 7w + 12
Now our problem says that the two area will be equal to each other, which sets up the following equation:
w² + 8w = w² + 7w + 12 subtract w² from both sides
8w = 7w + 12 subtract 7w from both sides
w = 12 this is the width of our original rectangle
recall w + 8 = length, so length of the original rectangle would be 20
