Mathematics: 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

luje

04.01.2022

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

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elishaheart21

04.01.2022

Option C is correct answer.

Step-by-step explanation:

The area for the trapezoid is given as :

A= $(B+b)*\frac{h}{2}$

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) $12\frac{(b+9)}{2}$

This is simplified as A(b)= 6*(b+9)

A(b)= 6b+54

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

Now divide both sides by 6 we get : Option C or $\frac{a}{6}-9$

Therefore, option C is the right answer.

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25yurasekth33

27.02.2021

Understandable have a great w

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