Identify the horizontal asymptote of f(x)=x^2+6x-9 over x-2
1 answer:
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<h2>Hello!</h2>
The answers are:
3. Addition property of equality
4. - Simplification
7.
To solve the problem, we need to start with the result of the second step:
So,
For the step 3:
Then, for the 3rd step, we have to apply the addition property of equality.
The addition property of equality states that if we add a term to one side of the equality, we need to add it to the other side of the equality, in order to not alterate the equality.
Then, applying the property, we have:
Adding 7 to both sides, we have:
For the step 4:
Now, for the 4th step, we have to simplify the expression:
Then, simplifying, we have:
For the step 7:
Simplificating, we divide each side of the equality by 6:
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Given:
The equation goes through the coordinates (6,5) and (-2,-5).
To find:
The values of A and B.
Solution:
We have,
It goes through the coordinates (6,5) and (-2,-5). It means these points will satisfy the equation.
...(i)
...(ii)
Adding (i) and (ii), we get
Divide both sides by 4.
Put A=5 in (i), we get
Divide both sides by 5.
Therefore, the values of A and B are 5 and -4 respectively.