<h3>
Answer: 5 - 4i (choice A)</h3>
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Work Shown:
x = the other number
(5+4i)*x = 41
x = 41/(5+4i)
x = 41*(5-4i)/( (5+4i)*(5-4i) ) ..... see note below
x = 41*(5-4i)/( 41 )
x = (41/41)*(5-4i)
x = 5 - 4i
As a way to check, (5+4i)*(5-4i) = 5^2+4^2 = 25+16 = 41
The rule used is (a-bi)(a+bi) = a^2 + b^2
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Note: I multiplied top and bottom by (5-4i) to get rid of the imaginary term in the denominator.
Answer:
71 (or 7.... read explanation)
Step-by-step explanation:
If you mean | -71 | then it's 71.
If you mean | -7 | then it's 7
Absolute values turn negative numbers into positive numbers.
Answer:
x = 2
Step-by-step explanation:
Add 2x from each side giving you
7x - 3 = 11
Add 3 to each side
7x = 14
Divide by 7
x = 2
Answer: 56
Step-by-step explanation:
