College Algebra Unit 4 - Milestone 4 with answers!!.

2



College Algebra Unit 4 - Milestone 4 with
answers!!.

18 questions were answered
correctly. 2 questions were
answered incorrectly. 1



Angela is an electrical engineer who is testing the voltage of a
circuit given a certain current and resistance. She uses the
following formula to calculate voltage:




The circuit she tests has a current of amps and a resistance of
ohms.

What is the voltage of the circuit?
•
volts


•
volts. correct


•
volts


•

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,2


volts


RATIONALE




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,2



The voltage of the circuit is the
product of the current and
resistance. Recall that we can
write as and as .

Once we have expressed voltage in terms
of , we need to multiply these two
complex numbers by using FOIL.


Multiply the first terms , the outside

terms , the inside terms ,

and

the last terms . Next,
evaluate each multiplication.


The expression multiplies


to Next, combine like
terms.


and can combine to . Now we


can simplify the last term, , which
contains the imaginary unit squared.
Recall



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, 2


that the is equivalent to , which
can be substituted in our
expression.


.
is replaced by . Next,




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