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gregori [183]
3 years ago
11

Examine the fraction 3+2i4−2i. Which expression is the first step to simplify the fraction? 3+2i4−2i⋅3−2i3−2i

Mathematics
1 answer:
umka2103 [35]3 years ago
4 0

Answer:

The correct answer is the last option.

Step-by-step explanation:

When you have a fraction with complex numbers, the first step to simplify is to multiply up and down the conjugate of the denominator, this will eliminate the complex part of the denominator, and in this way you can separate the expression in its real and complex part.

For the expression:

\frac{3 + 2i}{4-2i
}

The denominator conjugate is 4 + 2i

When multiplied, the denominator is:

4 ^ 2 -4i ^ 2 = 16 -4 (-1) = 20

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This Question: 1 pt
shtirl [24]
50 miles apart
if 1 = 10 then 5 = 50 using the tens rule
3 0
3 years ago
The function p(x) = 2(x-9)2 + 100 is used to determines the profit on T-shirts sold for x dollars. What would the profit from sa
Jet001 [13]

Answer:

the profit will be $172

Step-by-step explanation:

The function given is:

p(x) = 2(x-9)^2 + 100

Where x is the price of the each shirt.

if each shirt is sold for $15,  hen x = 15.

the profit will be:

p(15) = 2(15-9)^2 + 100

p(15) = 2(6)^2 + 100

p(15) = 2(36) + 100

p(15) = 72 + 100

p(15) = 172

So, the profit will be $172

3 0
4 years ago
(9c^2 + 3c + 9) - (9c^2 + 2c + 7)
IRISSAK [1]

Answer:

c+2

Step-by-step explanation:

Distribute the Negative Sign:

=9c2+3c+9+−1(9c2+2c+7)

=9c2+3c+9+−1(9c2)+−1(2c)+(−1)(7)

=9c2+3c+9+−9c2+−2c+−7

Combine Like Terms:

=9c2+3c+9+−9c2+−2c+−7

=(9c2+−9c2)+(3c+−2c)+(9+−7)

4 0
3 years ago
Read 2 more answers
What group of people did God send to give words of hope and hold the Jewish people accountable for sinful behaviour?
anyanavicka [17]

Answer:

It might be Mormons.

Step-by-step explanation:

srry if im wrong!

5 0
3 years ago
37. Which of the following multiplication problems has a product that is less than
MrRissso [65]

Answer:

Problem 1. Pikachu is level one and he wants to become level two. But he has to train, so he discovers that his attack swift gives him 1.176 points of experience. But he needs 2.352 points to reach the next level.

How many times does he have to perform the swift attack?

a)1 b)2 c)3 d)4

Problem 2. Snorlax needs to reach level 10 to enter the pokemon gym. But he is currently level 4. However, he discovers that his attack smash gives him .392 experience points and he needs 2.352 to reach level 10. How many times does he have to perform smash?

a)4 b)5 c)6 d)7

Step-by-step explanation:

This is a very easy question if you think the opposite.

1.- The opposite of multiplication is division. So with this knowledge, we can form any amount of problems we want we just need to combine the numbers with our product which is 2.352.

2.- So in the first place, let's make it easy. If we divide 2.352 in 2 then we are going to obtain. 1.176 as a product. Then we combine our product with our divisor and we can multiply them to find our initial product which was 2.352.

3.- In the second place we go more complicate, we divide 2.352 in 6 and we will obtain. .392 then we combine .392 with 6 to multiply them and we obtain back our initial objective. Can you see? it is the easiest thing to do.

4.- We then look for scenarios to put these two processes and we will find our problems.

Problem 1. Pikachu is level one and he wants to become level two. But he has to train, so he discovers that his attack swift gives him 1.176 points of experience. But he needs 2.352 points to reach the next level.

How many times does he have to perform the swift attack?

a)1 b)2 c)3 d)4

Problem 2. Snorlax needs to reach level 10 to enter the pokemon gym. But he is currently level 4. However, he discovers that his attack smash gives him .392 experience points and he needs 2.352 to reach level 10. How many times does he have to perform smash?

a)4 b)5 c)6 d)7

7 0
2 years ago
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