Which expression is the factorization of x2 + 10x + 21? (x + 3)(x + 7) (x + 4)(x + 6) (x + 6)(x + 15) (x + 7)(x + 14)
2 answers:
Answer: First option.
Step-by-step explanation:
You need to remember that to factorize the given expression , you need to choose two numbers that when you add them you get "10" and when you multiply them you get "21".
These number are:
7 and 3
Because:
Therefore, you get that the factorization of the expression is the following:
You can observe that this factorization matches with the first option.
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Given :
The foci of hyperbola are (8,0) and (-8,0) .
The difference of the focal radii = 6.
To Find :
The equation of the hyperbola.
Solution :
We know, distance between foci is given by :
2c = 8 - (-8)
c = 8
Also, difference between the foci or focal distance is given by :
2a = 6
a = 3
Now, we know for hyperbola :
General equation of hyperbola is :
Hence, this is the required solution.
Check the picture below.
now, since we know what "f" is, let us use the CNT triangle with the small COR one.
