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maksim [4K]
3 years ago
11

Find the product of the complex numbers (-5+ 8i) and (3 - 8i)

Mathematics
1 answer:
Liula [17]3 years ago
7 0

Answer: 49+64i

Step-by-step explanation:

Concept to know:

i=√-1

i²=-1

i³=-i

i^{4}=1

-------------------------------------

 (-5+8i)(3-8i)

=-15+40i+24i-64i²

=-15+64i-64i²

=-15+64i+64  (remember, i²=-1)

=49+64i

Hope this helps!! :)

Please let me know if you have any question or need further explanation

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makvit [3.9K]

Answer:

911.25 I'm sooooooo sory if wrong

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7 0
3 years ago
Read 2 more answers
There are 3/4 as many girls as there are boys.There are 63 students in the fifth grade. How many students are girls?
klemol [59]

Answer:

<u>27</u> students are girls.

Step-by-step explanation:

Given:

There are 3/4 as many girls as there are boys.

In the fifth grade total there are 63 students.

Now, to find the number of students that are girls.

Let the number of students that are boys be x.

So, the number of students that are girls = \frac{3}{4} \ of\ x=\frac{3x}{4} .

Total number of students = 63.

Now, to get the number of students that are girls we solve an equation:

x+\frac{3x}{4} =63\\\\\frac{4x+3x}{4} =63\\\\\frac{7x}{4} =63\\\\Multiplying\ both\ sides\ by\ 4\ we\ get:\\\\7x=252\\\\Dividing\ both\ sides\ by\ 7\ we\ get:\\\\x=36.

Now, substituting the value of x :

\frac{3x}{4} \\\\=\frac{3\times 36}{4} \\\\=\frac{108}{4} \\\\=27.

Therefore, 27 students are girls.

7 0
3 years ago
Name the rule for each statement: (SSS, ASA, SAS, AAS) Hint: you may use some of the rules more than once. Two triangles are con
Mila [183]

Answer:

a)SSS b)AAS c)SAS d)SSS e)AAS dont worry i passed this lesson with a 100% if i am wrong then come and kill me :) i am sure it is right

Step-by-step explanation:

7 0
3 years ago
What is 345 x 12? Plz tell me the answer
katovenus [111]
The answer is 4140
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3 0
2 years ago
A rectangle has a perimeter of 84 meters and a length of 35 meters. What is the width of the rectangle?
BaLLatris [955]
To find the perimeter of a rectangle, we can use this formula: 2L + 2W
Where L is the length and W is the width.

We know the perimeter and we know the length and we want to find the width.
Substitute the values back into the formula.

2(35) + 2W = 84
70 + 2W = 84
2W = 14 <-- Subtract both sides by 70
W = 7 <-- Divide both sides by 2

So, width is 7 meters long.

8 0
3 years ago
Read 2 more answers
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