College Algebra Unit 4 - Milestone 4 with answers!!
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Course
MATH 1201
Institution
MATH 1201
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 an...
College Algebra Unit 4 - Milestone 4 with answers!! 18 questions were answered correctly.2 questions were answered incorrectly.1Angela 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 • volts RATIONALE The voltage of the circuit is the product of the current and resistance. Recall that we can write as and as . 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.
The expression multiplies to Next, combine like terms.
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. is replaced by . Next, evaluate . CONCEPTComplex Numbers in Electrical Engineering 2Perform the multiplication and combine like terms.• • correct • • RATIONALE
The voltage is equivalent to , or . times is equal to . Finally, combine like terms and . When FOILing, multiply the first terms, outside terms, inside terms, and last terms together.Once the binomials have been multiplied together, evaluate the multiplication.
The will need to be multiplied by everything inside the parentheses.
When multiplying these two terms, we will start by distributing into .
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. and combined is . can be expressed as . We still need to distribute the third binomial, . is equivalent to . The next step is to combine like terms, and .
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