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Shkiper50 [21]
3 years ago
9

The function A(b) relates the area of a trapezoid with a given height of 12 and

Mathematics
1 answer:
Flura [38]3 years ago
5 0

Answer:

B(a)=\frac{a}{6}-9

Step-by-step explanation:

see the attached figure , to better understand the problem

we have

A(b)=12(\frac{b+9}{2})

where

A(b) ---> is the trapezoid's area

b ---> is the other base value

Solve the equation for b

That means ----> isolate the variable b

Divide 12 by 2 right side

A=6(b+9)

Divide by 6 both sides

\frac{A}{6}=b+9

subtract 9 both sides

\frac{A}{6}-9=b

Rewrite

b=\frac{A}{6}-9

Convert to function notation

B(a)=\frac{a}{6}-9

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