The area of the rectangle would be 13.5 inches.
Blue (b): 1500
Green (g): 1000
Purple: (1/2)Green = (1/2)1000 = 500 THIS INFORMATION IS NOT NEEDED!
b/g = 1500/1000 = 1.5
You have f(x)=(<span>6x+9)/(x-5) and want to find the inverse function? Please note that the parentheses are obligatory here.
1. Replace "f(x)" with y: y = </span>(6x+9)/(x-5)
<span>
2. Interchange the variables x and y: x</span> = (6y+9)/(y-5)
3. Solve this result for y: x(y-5) = (6y+9), or xy-5x = 6y+9. Then:
xy-6y = 9 + 5x, or y(x-6) = 9+5x
9+5x
Then y = --------------
x-6
Here x may not = 6, because division by zero would occur otherwise.
Area of triangle = 1/2 (base) (height)
120 = 1/2 (base) (15)
240 = 15 base
Base = 240 ÷ 15
Base = 16 inches
Answer:16 inches