Step-by-step explanation:

Rewrite csc(x) in terms of sin

Multiply the numerator. Notice that the factors in the numerator are reciprocal so they will factor out to 1.

Notice that cotangent and tan are reciprocal so

Answer:
Step-by-step explanation:
a) Compare the y-intercepts of f(x) and g(x). Use complete sentences.
The functions f(x) and g(x) are different, the y-intercepts for each function is y-intercepts (0,-1/3) for f(x)= 1/x-3 and y-intercepts (0,0) for g(x) as shown on the graph.
b) Compare the vertical asymptotes of f(x) and g(x). Use complete sentences.
The functions f(x) and g(x) have different Vertical Asymptotes, f(x)= 1/x-3 Vertical Asymptotes is x = 3 while g(x) as shown on the graph Vertical Asymptotes is x = 4. Both functions do have Horizontal Asymptotes that are the same y = 0
Answer:
a is less than or equal to 7
Step-by-step explanation:
This is the case because we can treat the less than or equal to sign as an equal sign. The only time it changes is when we divide by a negative, but we do not do that in this problem. First, you subtract 7 from both sides. That leaves us with a 4a on one side and a 28 on the other. Then, you divide both sides by four to get a is less than or equal to 7. I hope this helps!
Answer:
12
Step-by-step explanation:
Using formula
distance = 
Then input the values:
Distance = 
= 
= 12