A conservative vector field 
has curl 
. In this case,
so the vector field is not conservative.
so the vector field is not conservative.
In ΔABC, if the lengths of sides a and c are 8 centimeters and 16 centimeters, respectively, and the measure of is 35°, what is
2 answers:
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First, pull out a factor of 
.
Notice that when
(which you can arrive at via the rational root theorem), you have
which means you can pull out a factor of
. Upon dividing you get
The rational root theorem will come in handy again, suggesting that appears a second time as a root, which means
Now this is more readily factored without having to resort to the rational root theorem. You have
so in fact, shows up as a root for a third time.
So, you have
Two roots are obvious,
and (with multiplicity 3). The remaining two are given by
Notice that when
which means you can pull out a factor of
The rational root theorem will come in handy again, suggesting that
Now this is more readily factored without having to resort to the rational root theorem. You have
so in fact,
So, you have
Two roots are obvious,
Answer:
Step-by-step explanation:
1) Factor using polynomial division.
2) Rewrite in the form
, where a = x and b = 5.
3) Use Square of Sum: .