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Kisachek [45]
3 years ago
12

What is the product of 5 - 3i and 4 - 5i?

Mathematics
2 answers:
max2010maxim [7]3 years ago
8 0
For this case we have the following complex numbers:
 5 - 3i
 4 - 5i
 Multiplying both numbers we have:
 (5 - 3i) * (4 - 5i)
 (5 * 4) + (5 * (- 5i)) + ((-3i) * 4) + ((-3i) * (- 5i))
 Rewriting we have:
 20 - 25i - 12i + 15i ^ 2
 20 - 37i + 15 (-1)
 20 - 37i - 15
 5 - 37i
 Answer:
 
the product of 5 - 3i and 4 - 5i is:
 
5 - 37i
Romashka-Z-Leto [24]3 years ago
4 0
The answer you are looking for is

5 - 37 i

Hope I helped!!
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Atriangular sign has an area of a square feet. the width of the sign is 5 feet. which equation represents h, the height of the s
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Problem PageQuestion Flying against the jetstream, a jet travels 3050 miles in 5 hours. Flying with the jetstream, the same jet
goblinko [34]

Answer: the rate of the jet in still air is 685 mph and the rate of the jetstream is 75 mph

Step-by-step explanation:

Let x represent the rate of the jet in still air.

Let y represent the rate of the jet jetstream.

Distance = speed × time

Flying against the jetstream, a jet travels 3050 miles in 5 hours. This means that the total speed of the jet would be (x - y) mph. Therefore,

3050 = 5(x - y)

3050/5 = x - y

x - y = 610 - - - - - - - - - - - - - -1

Flying with the jetstream, the same jet travels 3800 miles in 4 hours. This means that the total speed of the jet would be (x + y) mph. Therefore,

3800 = 4(x + y)

3800/5 = x + y

x + y = 760 - - - - - - - - - - - - - -2

Adding equation 1 to equation 2, it becomes

2x = 1370

x = 1370/2 = 685mph

Substituting x = 685 into equation 1, it becomes

685 - y = 610

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3 years ago
The town librarian bought a combination of new-release movies on DVD for $20 and classic movies on DVD for $8. Let
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Answer:

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Step-by-step explanation:

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