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Helen [10]
2 years ago
15

What is the product of the complex numbers (3 + i) and (3 - i)?

Mathematics
1 answer:
dedylja [7]2 years ago
5 0

Answer:

\left(3+i\right)y\left(3-i\right)=10y

Step-by-step explanation:

\left(3+i\right)y\left(3-i\right)

\left(3+i\right)\left(3-i\right)y

=y\cdot \:10

=10y

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What is the goal of a proof by contradiction?
kifflom [539]

Answer:

B. The contradiction of the statement is proven false, so the original

statement is therefore proven true.

Step-by-step explanation:

We assume the opposite and then get to a point where we get a false statement.   That proves that the the opposite of the opposite ( what we originally wanted to prove) is true.

6 0
3 years ago
Read 2 more answers
Use Newton’s Method to find the solution to x^3+1=2x+3 use x_1=2 and find x_4 accurate to six decimal places. Hint use x^3-2x-2=
luda_lava [24]

Let f(x) = x^3 - 2x - 2. Then differentiating, we get

f'(x) = 3x^2 - 2

We approximate f(x) at x_1=2 with the tangent line,

f(x) \approx f(x_1) + f'(x_1) (x - x_1) = 10x - 18

The x-intercept for this approximation will be our next approximation for the root,

10x - 18 = 0 \implies x_2 = \dfrac95

Repeat this process. Approximate f(x) at x_2 = \frac95.

f(x) \approx f(x_2) + f'(x_2) (x-x_2) = \dfrac{193}{25}x - \dfrac{1708}{125}

Then

\dfrac{193}{25}x - \dfrac{1708}{125} = 0 \implies x_3 = \dfrac{1708}{965}

Once more. Approximate f(x) at x_3.

f(x) \approx f(x_3) + f'(x_3) (x - x_3) = \dfrac{6,889,342}{931,225}x - \dfrac{11,762,638,074}{898,632,125}

Then

\dfrac{6,889,342}{931,225}x - \dfrac{11,762,638,074}{898,632,125} = 0 \\\\ \implies x_4 = \dfrac{5,881,319,037}{3,324,107,515} \approx 1.769292663 \approx \boxed{1.769293}

Compare this to the actual root of f(x), which is approximately <u>1.76929</u>2354, matching up to the first 5 digits after the decimal place.

4 0
2 years ago
Two students Are reading a novel Ashley read 10 pages per day Carly reads eight pages per day but she starts early and is alread
iren [92.7K]

Answer:

  • P = 10D
  • P = 8D +40

Step-by-step explanation:

Ashley's page count is ...

  P = 10D

Carly's page count is ...

  P = 8D +40

_____

The page count is the product of the pages per day and the number of days. Since Carly started with a page count of 40, that is added to the product.

4 0
3 years ago
The coordinates of a rectangle are (4,0), (8,0), (4, 10) and (8, 10). Which transformation results in a reduction in the
Cerrena [4.2K]

Answer:

It all depends on the reduction, like by 2 it would shrink half the size or  3it would get smaller but not bt much. So all deoends

Step-by-step explanation:

8 0
3 years ago
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Write the reflation ship between the value <br> of the given digits<br> 6s in 660
olga2289 [7]
Hello Srahman1183 i get how adjetated u must be feeling right now having to wait 6 days to get this answer im about to give u but whatever. The relationship between them istheyare both partof the powers of ten, the first 6 is inthe 100 place and the second 6 is in the 10 place, hope this helped
5 0
3 years ago
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