Enter the values for the highlighted variables to complete the steps to find the sum: (see picture)

a = -1

b = -9

c = 9

d = 3

e = 3

f = 2

g = 3/2

Step-by-step explanation:

* Lets explain how to solve the problem

∵ are rational fractions

- To add or subtract the rational fractions they must have same

  denominator

∵ 6 - 2x must be written 2x - 6, take (-1) as a common factor from 6 - 2x

∴ - 1(-6 + 2x) = - 1(2x - 6)

∴

∴ a = -1

∵ 9 ÷ -1 = -9

∴ =  

∴ b = -9

∵ The denominators of the two fractions are 2x - 6

∴ We can add them by adding their numerator

∵ 3x + -9 = 3x - 9

∴ =

∴ c = 9

∵ 3x - 9 has a common factor 3

∴ 3x - 9 = 3(x - 3)

∵ 2x - 6 has common factor 2

∴ 2x - 6 = 2(x - 3)

∴ =

∴ d = 3 , e = 3 , f = 2

- The fraction has same factor (x - 3) up and down then we can cancel

  them together

∴ =

∴ g = 3/2

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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