What is the area of this figure?

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cm²

A parallelogram with a length of 11 cm. A triangle atop the parallelogram has a short leg measuring 7 cm. A right triangle created inside the parallelogram has a long leg measuring 9 cm.

Step-by-step explanation:

A=B times H

Given: Parallelogram length = 11 cm triangle atop the parallelogram :

short leg = 7 cm : Right triangle inside the parallelogram :

long leg = 9cmArea of parallelogram =

base * heightA = 11cm * 9cmA = 99 cm²

Area of a triangle atop the parallelogram: A = ab/2A = (11cm * 7cm)/2A = 77 cm² / 2A = 38.5 cm²

Total area of the figure 99 cm² + 38.5 cm² = 137.5 cm²

the correct functions are

h(x) = 3x + 2  

g(x) = 2^x

step-by-step explanation:

i proceed to calculate the different values ​​of k (x)

case 1)  k(x) = g(x) ∘ h(x)

g(x) ∘ h(x)=g(h(x))

k(x) = [2]^[3x + > is the option  4. k(x) = 2^(3x + 2 )

case 2)  k(x) = g(x) + h(x)

k(x) = [2^x]+[3x + 2]=2^x+3x+> is the option  1.) k(x) = 2^x + 3x + 2

case 3)k(x) = h(x) ÷ g(x)

k(x) =  [3x + 2]/[2^x]=3x/(2^x)+2/(2^x)=3x*(2^-x)+2^(1-x)

is the option  3.)   k(x) = (3x)2^(-x) + 2^(-x + 1 )

case 4)k(x) = g(x) - h(x)

k(x) =  [2^x]-[3x + 2]=2^x-3x-> is the option  2.) k(x) = 2^x - 3x - 2 

case 5)  k(x) = g(x) × h(x)

k(x) = [2^x]*[3x + > is the option  5.) k(x) = 2^x(3x + 2)

case 6)k(x) = h(x) ∘ g(x)

h(x) ∘ g(x)=h(g(x))

k(x)=3*[2^x]+> is the option  6. k(x) = 3(2^x) +2