College Algebra Unit 4 - Milestone 4 with
answers 2023-2024 Version/A GRADE
18 questions were answered correctly.
2 questions were answered
... [Show More] 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?
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•
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RATIONALE
volts
volts
volts. correct
volts
is replaced by . Next, evaluate
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
that the is equivalent to , which can
be substituted in our expression.
.
CONCEPT
Complex Numbers in Electrical Engineering
2
Perform the multiplication and combine like terms.
•
•
correct
•
•
RATIONALE
.
. Finally,
combine like terms and .
times is equal to
The voltage is equivalent to , or
is equivalent to .
The next step is to combine like terms, and
When FOILing, multiply the first terms, outside
terms, inside terms, and last terms together.
To multiply a set of three binomials, we can
choose any two binomials to multiply using
FOIL, and then distribute the remaining binomial
to get a final product. Here, we will use FOIL to
multiply , but you can choose any
two binomials to start.
Once the binomials have been multiplied
together, evaluate the multiplication.
.
and combined is . can
be expressed as . We still need to
distribute the third binomial, .
When multiplying these two terms, we will start
The will need to be multiplied by everything
inside the parentheses.
by distributing into .
times equals .
This is one part of the final product. We will
distribute into as well.
When multiplying these two terms, we will start
by distributing int [Show Less]