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Which equation below represents the inverse function B(a) , which takes the trapezoid's area as input and returns as output the length of the other base?

Which equation below represents the inverse function Ba which takes the trapezoids area as input and returns as output the length of the other base class=

Respuesta :

A(b)  = 12(b + 9) / 2
12(b + 9) = 2 A(b)
b + 9 = 2 A(b) / 12  = A(b) / 6
b = A(b)
      ----- - 9
        6

B(a)   =  a              
             --  -  9
              6


It's C

Answer:

Option C is correct answer.

Step-by-step explanation:

The area for the trapezoid is given as :

A=[tex](B+b)*\frac{h}{2}[/tex]

where B and b are the bases and h is the height.  

The given height is : h=12 B and b =9

Function is :A(b) [tex]12\frac{(b+9)}{2}[/tex]

This is simplified as A(b)=[tex]6*(b+9)[/tex]

A(b)=[tex]6b+54[/tex]

Subtracting 54 from both sides we get : A(b)-54=6b

Now divide both sides by 6 we get : Option C or [tex]\frac{a}{6}-9[/tex]

Therefore, option C is the right answer.

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