Answer:

Step-by-step explanation:

(a) Rename h(x) as y  

(b) Solve for x :  

(d) Switch x and y  

(e) Rename y as the inverse function  

The graphs of inverse functions are reflections of each other across the line y = x.
In the diagram, the graph of h⁻¹(x) is the reflection of h(x) about the line y = x.
 
        
                    
             
        
        
        
W is width
W+9 is length
W+W+9=54
2w=45
45/2
W=22.5
Width is 22.5 length is 31.5
        
             
        
        
        
Answer:
1 and 3 
Step-by-step explanation:
since they both are equal shape with equal sizes.
 
        
             
        
        
        
Answer:
b = 7√3
Step-by-step explanation:
This 30°- 60°- 90° triangle has the proportions:
side opposite of the 30° angle = x
side opposite of the 60° angle = x√3
side opposite of the 90° angle = 2x
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Given the side opposite of the 30° angle which is 7 units long, this can be thought of as x. Knowing the proportions of the other sides, we can find b knowing that this is the side opposite of the 60° angle which is x√3.
Since x = 7, x√3 = 7√3, and therefore 
b = 7√3.