The relationship between voltage, E, current, I, and resistance, Z, is given by the equation E = IZ. If a circuit has a current I = 3 + 2i and a resistance Z = 2 - i, what is the voltage of the circuit?
answer
8 + i
question
What is the additive inverse of the complex number -8 + 3i?
answer
8 - 3i
question
Which equation shows an example of the associative property of addition?
answer
(-4 + i) + 4i = -4 + (i + 4i)
question
Which property of multiplication is shown below?
If x = a + bi and y = c + di, x Γ y = y Γ x.
answer
commutative property
question
Which property of addition is shown below?
a + bi + c + di = a + c + bi + di
answer
commutative property
question
Donte simplified the expression below.
mc024-1.jpg
What mistake did Donte make?
answer
He did not apply the distributive property correctly for 4(1 + 3i).
question
Melissa and Tomas are playing a game with complex numbers. If Melissa has a score of 5 - 4i and Tomas has a score of 3 + 2i, what is their total score?
answer
8 - 2i
question
Which property of addition is shown below?
If x = a + bi and y = -a - bi, x + y = 0.
answer
inverse property
question
What is the value of the product (3 - 2i)(3 + 2i)?
answer
13
question
Which equation demonstrates the additive identity property?
answer
(7+4i)+0=7+4i
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