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3 years ago

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

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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Help me what is this

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Answer:

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Step-by-step explanation:

This seems to be a Chihuahua breed of a dog

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3 years ago

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I have 4 congruent sides, and opposite sides are parallel what am I?

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Students who party before an exam are twice as likely to fail as those who don't party (and presumably study). If 20% of the stu

True [87]

Answer:

The fraction of the students who failed to went partying = $\frac{1}{10}$

Step-by-step explanation:

Let total number of students = 100

No. of students partied are twice the no. of students who not partied.

⇒ No. of students partied = 2 × the no. of students who are not partied

No. of students partied before the exam = 20 % of total students

⇒ No. of students partied before the exam = $\frac{20}{100}$ × 100

⇒ No. of students partied before the exam = 20

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Thus the fraction of the students who failed to went partying = $\frac{10}{100} = \frac{1}{10}$

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3 years ago

Isabella spent $49 for 7 bracelets. Each bracelet cost the same amount.

n200080 [17]

To answer this question, we first have to set up an equation with variables.
We can use "x" to represent the cost of each bracelet.

Equation: number of bracelets bought × cost of each bracelet = total cost

Number of bracelets bought: 7
Total Cost: 49

Using this information, we can fill in the equation and solve for x.

7x = 49

To isolate x, divide both sides by 7.

x = 7

Since x equals 7, we now know that each bracelet cost $7.

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3 years ago

I need help with these. They are hard.<br><br>

iragen [17]

Answer:

Find the explicit from for the sequence $t_n=t_{n-1}+4,t=6$ :

$a_n=4n+2$

This next question I edited a bit. Your question just says find the four terms. I'm assuming they meant the first four. I also changed the c to an $a$ .

Find the first four terms of the sequence given by: $a_n=n a_{n-1}-3,a_1=2$ :

a) 2,1,0.-3

You might want to read that second question again because there is errors in the question or things that don't really make sense. I made my own interpretation of the problem based on my own mathematical experience.

Step-by-step explanation:

So your first question actually says that you can find a term by taking that term's previous term and adding 4.

So more terms of the sequence starting at first term 6 is:

6,10,14,18,....

This is an arithmetic sequence. When thinking of arithmetic sequences you should just really by thinking about equations of lines.

Let's say we have this table for (x,y):

x | y

----------

1 6

2 10

3 14

4 18

So we already know the slope which is the common difference of an arithmetic sequence.

We also know point slope form of a line is $y-y_1=m(x-x_1)$ where m is the slope and $(x_1,y_1)$ is a point on the line. You can use any point on the line. I'm going to use the first point (1,6) with my slope=4.