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Ivahew [28]
3 years ago
10

Which values of x and y would make the following expression represent a real number? (6 + 3i)(x + yi)

Mathematics
1 answer:
dexar [7]3 years ago
3 0

Answer:

C. x = 6, y = –3

Step-by-step explanation:

I just took the test and got it right :)

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Verify sin^4 x - sin^2 x = cos^4 x - cos^2 x is an identity
Citrus2011 [14]

Answer:

(identity has been verified)

Step-by-step explanation:

Verify the following identity:

sin(x)^4 - sin(x)^2 = cos(x)^4 - cos(x)^2

sin(x)^2 = 1 - cos(x)^2:

sin(x)^4 - 1 - cos(x)^2 = ^?cos(x)^4 - cos(x)^2

-(1 - cos(x)^2) = cos(x)^2 - 1:

cos(x)^2 - 1 + sin(x)^4 = ^?cos(x)^4 - cos(x)^2

sin(x)^4 = (sin(x)^2)^2 = (1 - cos(x)^2)^2:

-1 + cos(x)^2 + (1 - cos(x)^2)^2 = ^?cos(x)^4 - cos(x)^2

(1 - cos(x)^2)^2 = 1 - 2 cos(x)^2 + cos(x)^4:

-1 + cos(x)^2 + 1 - 2 cos(x)^2 + cos(x)^4 = ^?cos(x)^4 - cos(x)^2

-1 + cos(x)^2 + 1 - 2 cos(x)^2 + cos(x)^4 = cos(x)^4 - cos(x)^2:

cos(x)^4 - cos(x)^2 = ^?cos(x)^4 - cos(x)^2

The left hand side and right hand side are identical:

Answer:  (identity has been verified)

3 0
3 years ago
What is the answer to this question?
jarptica [38.1K]

Answer:

(check the image below)

Step-by-step explanation:

Use Algebra Calculator: Math Papa. Really super helpful! I use it all the time for my math homework and it is literally never wrong! I hope this helps! Have a great day!!

8 0
3 years ago
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Identify the number of solutions or zeros<br><br> 2x^2+5x-9=0
Anon25 [30]
There are going to be two solutions because the "biggest" x is x^2 but you can factor to find what they actually are.

6 0
3 years ago
PLEASE HELP IVE POSTED THIS AND NO RESPONSE YET ! It’s an exam
solmaris [256]

Answer: 262,000? I'm just guessing

Step-by-step explanation:

one product costs $14 to produce. It is mentioned that you need to produce 14,000 products or items, so you multiply 14 by 14,000 to know the total cost of producing 14,000 items or products, the answer is 196,000, remember there is also a start-up cost of 66,000. So you must add 196,000 to 66,000 which leads to 262,000. Hope this helps :)

3 0
3 years ago
Need help factoring X squared +11x+24
Andrei [34K]

Answer:

(X+3)(X+8)

Step-by-step explanation:

In the attached file

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