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Diano4ka-milaya [45]
3 years ago
15

Can u answer these questions by Friday

Mathematics
1 answer:
Mrac [35]3 years ago
5 0
Can you tell me what shape that is and i will help as best as i can

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If (3-4i) (x+iy) = 3 root 5<br> show that x^2 + y^2=9/5
NNADVOKAT [17]

Answer:

the answer is 2 + i.

Step-by-step explanation:

Let the square root of 3 + 4i be x + iy.

So (x + iy) (x +iy) = 3 +4i

=> x^2 + xyi + xyi + i^2*y^2 = 3 + 4i

=> x^2 – y^2 + 2xyi = 3 + 4i

Equate the real and complex terms

=> x^2 - y^2 = 3 and 2xy = 4

2xy = 4

=> xy = 2

=> x = 2/y

Substitute in

=> x^2 - y^2 = 3

=> 4/y^2 - y^2 = 3

=> 4 – y^4 = 3y^2

=> y^4 + 3y^2 – 4 = 0

=> y^4 + 4y^2 – y^2 – 4 =0

=> y^2(y^2 + 4) – 1(y^2 + 4) =0

=> (y^2 – 1) (y^2 + 4) =0

Therefore y^2 = 1, we ignore y^2 = -4 as it gives complex values of y.

Therefore y = 1 and x = 2/1 = 2

The required square root of 3 + 4i is 2 + i.

5 0
2 years ago
Find the probability:
Vikki [24]
Part 1:

3+2+1 = 6 total units

There is only 1 history book.

1/6 total.

Part 2:

6-1 (we've lost the history book) = 5 total units

3 novels. = 3/5

Part 3:

1/6 * 3/5 = 3/30 or 1/10


3 0
2 years ago
Read 2 more answers
It was found that an unknown solid had a density of 20 g/cm3 and a volume of 30 cm3. Determine the mass of the solid.
In-s [12.5K]

Answer:

30

Step-by-step explanation:

4 0
2 years ago
Can someone Answer this?
Misha Larkins [42]

Answer:

The limit of the function as x approaches 1 is ∞

Vertical asymptote; x = 1

Step-by-step explanation:

The graphical approach to evaluating limits involves graphing the function, the graph of the function \frac{1}{(x-1)^{2} } is contained in the attachment below.

The red vertical line is the graph of x = 1. As we approach the line x = 1 from the left, the value of the function, that is y becomes large and large indefinitely. That is the value of the function approaches infinity. The same case applies when we approach the vertical line x = 1 from the right.

Also noticeable is the fact that the function approaches the line x = 1 asymptotically. The function gets closer and closer to this line but actually never touches it. Therefore, the line x = 1 is our vertical asymptote of the function given

7 0
3 years ago
What system of equations does not have the same solution
Effectus [21]

Answer:

2x + y = 4

4x + 2y = 12

Step-by-step explanation:

Equations 2x + y = 4 & 4x + 2y = 12 haven't the same solution.

2x + y = 4...(1) \\ 4x + 2y = 12 \\ 2(2x + y) = 12 \\ 2x + y =  \frac{12}{2}  \\ 2x + y = 6...(2) \\ rhs \: of \: equations \: (1) \: and \: (2) \: are \:  \\ not \: sme.

3 0
3 years ago
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