Chris is tiling the bathroom floor. For a tile to fit in the corner of the room, he must cut it as shown below. If x = 3, y = 12, and z = 9, what is the area of the tile being used?
A.
54 sq ft
B.
108 sq ft
C.
58.5 sq ft
D.
81 sq ft

D. 81 sq. ft.

Step-by-step explanation:

We know x, y, and z's lengths. Those are 3, 12, and 9 respectively.

I first imagined a 12 by 9 rectangle and then figured about the area of the shaded part.

The 12 by 9 rectangle is 108 sq ft, But there is a empty part on the top left. That would be a 9 ft by 6 ft triangle.

The area of a triangle can be figured out with this formula: A = bh/2 Substitute b and h for 9 and 6 respectively.

A = (9 * 6)/2

A = 54/2

A = 27 sq. ft.

Now, subtract 27 from 108 to get the area of the shaded part.

108 - 27

81 sq. ft.

The area of the tile being used is 81 sq. ft.

b

step-by-step explanation:

ez

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