Answer:
(x + 2)(x + 9)
Step-by-step explanation:
when given a trionomial, you must multiply the last term (18) by the first term's coefficient.
1 * 18 = 18
then, expand the polynomial by finding two factors that SUM to the middle term's coefficient (11) and MULTIPLY to 18. these factors are 9 and 2.
9 * 2 = 18 and 9 + 2 = 11
expand the equation using these
x² + 9x + 2x + 18
factor by grouping
(x² + 9x)(2x + 18)
x(x + 9)2(x + 9)
remove one of the COMMON parenthetical factors (one factor will have an identical factor, in this case (x + 9))
(x + 2)(x + 9) are left.
Angle y is the same as 85 degrees
Answer:
Step-by-step explanation:
2/cos^2(theta) - sin^2(theta)/cos^(theta) = p
(2 - sin^2(theta) ) / cos^2(theta) = p
cos^2(theta) = 1 - sin^2(theta) Relationship between sines and cosines
2 - sin^2(theta)/ (1 - sin^2(theta) ) = p Everything is now in terms of sines
sin^2 (theta) = 1 / csc ^2 (theta) sin^(theta) = 1/csc(theta)
2 - 1/csc^2(theta) Make Left over csc(theta)
============== = p
1 - 1/csc^2(theta)
2 csc^2(theta) - 1
------------------------
csc^2(theta)
================ = p Cancel out denominators (csc^2(theta))
csc(theta) - 1
-------------------
csc^2(theta)
2 csc^2 (theta) - 1
=============== = p Multiply both sides by csc^2(theta) - 1
csc^2(theta) - 1
2csc^2(theta) - 1 = p*csc^2(theta) - p Collect csc^2(theta) on the left, p on the right.
csc^2(theta) (2 - p) = 1 - p
csc^2(theta) = (1 - p)/(2 - p)
Using limits, a graph that goes to positive infinity when and would have the same end behavior as the function .
<h3>What is the end behavior of a function?</h3>
It is given by it's limits as x goes to negative and positive infinity.
In this problem, the function is:
The limits are:
- .
- .
A graph that goes to positive infinity when and would have the same end behavior as the function .
More can be learned about limits and end behavior at brainly.com/question/27830331
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Answer:
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