Write and solve an equation using the descriptions below.
2 answers:
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Answer:
The solution is .
Step-by-step explanation:
Complex power is determined by means of the De Moivre's Theorem, whose expression is:
Where is the norm of the complex number. In this case, expression can be written as:
The real component must be equal to zero and complex component must be equal to -1. That is to say:
Possible solutions for each component are, respectively:
Real component
,
,
Possible solutions: ,
,
Complex component
,
,
Possible solutions: ,
There is one solution whose argument is strictly between 180 degrees () and 270 degrees (
).
Answer:
a. The student's conclusion is incorrect because the solution to the system of equations 3x + 4y = 32 and 5x + 5y = 50 is (8, 2).
Step-by-step explanation:
The second equation needs to be ...
5x +5y = 50
because the wording "short of $18" means that the actual cost of that purchase would be $18 more than the $32 that Harry had. 18+32 = 50.
The only answer choice that shows this as the second equation is choice A.
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In fact, the solution to the system of equations is (8, 2), as can be seen in the graph below.
