Two line with the same slope are parallel, if two parallel lines have a different y-intercept they will never cross each other.
(Any two lines with different slopes will always intersect at some point)
The denominator of a fraction cannot be zero.Therefore in h(x) = f(x)/g(x), g(x) cannot equal zero, x + 6 cannot equal zero, x cannot equal -6. The domain of h(x) is ℜ - {-6}.
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Answer: 3 zeroes.
Explanation:-
- The fundamental theorem of algebra states that any polynomial with degree m>0 and complex coefficients has atleast one complex root.
- Corollary of fundamental theorem states that for any polynomial with degree m>0 has exactly m solutions.
The given function is 
Because it is a polynomial function with degree 3>0 , Therefore by corollary of fundamental theorem of algebra , it has 3 zeroes.
Given:
Radius of the cylinder = 5 in
Height of the cylinder = 30 in.
To find:
The surface area of the cylinder.
Solution:
The surface area of the cylinder is:

Where, r is the radius and h is the height of the cylinder.
Putting
in the above formula, we get




Therefore, the surface area of the cylinder is 1099 square inches.