Solve -1/3a+5/6+2 1/6-5/6a
1 answer:
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Answer:
Step-by-step explanation:
Use a cofunction identity on the right hand side or left hand side...
So .
We have the equation:
Make the above replacement:
Since cotangent has period 180 degrees, we can also write this as:
So solving the following will give us a set of solutions for :
Add on both sides:
Subtract 10 on both sides:
Divide both sides by 2:
Symmetric property:
Answer:
The graph has a removable discontinuity at x=-2.5 and asymptoe at x=2, and passes through (6,-3)
Step-by-step explanation:
A rational equation is a equation where
where both are polynomials and q(x) can't equal zero.
1. Discovering asymptotes. We need a asymptote at x=2 so we need a binomial factor of
in our denomiator.
So right now we have
2. Removable discontinues. This occurs when we have have the same binomial factor in both the numerator and denomiator.
We can model -2.5 as
So we have as of right now.
Now let see if this passes throught point (6,-3).
So this doesn't pass through -3 so we need another term in the numerator that will make 6,-3 apart of this graph.
If we have a variable r, in the numerator that will make this applicable, we would get
Plug in 6 for the x values.
So our rational equation will be
or
We can prove this by graphing
