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Eduardwww
1 month ago
8

Which pair represents the same complex number?

Mathematics
2 answers:
tester [12.3K]1 month ago
4 0
In this scenario, we have the complex number:
1 + i
The corresponding pair is represented as:
root (2) * (cos (pi / 4) + i * sin (pi / 4))
By rewriting this, we have:
root (2) * (root (2) / 2 + i * (root (2) / 2))
(2/2 + i * (2/2))
(1 + i)
Answer:
option A shows a pair representing the same complex number
zzz [12.3K]1 month ago
3 0
In Edge, the correct choice would be the second option.
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What is the positive solution to the equation 0 = –x2 + 2x + 1? Quadratic formula: x = StartFraction negative b plus or minus St
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Answer:

1+\sqrt{2}

Step-by-step explanation:

Consider a quadratic equation given by

ax^2+bx+c=0.... (1)

The quadratic formula then is

x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}

The quadratic equation provided is

0=-x^2+2x+1

This can be expressed as

-x^2+2x+1=0.... (2)

By comparing (1) and (2), we derive:

a=-1,b=2,c=1

Plug these values into the quadratic formula.

x=\dfrac{-2\pm \sqrt{2^2-4(-1)(1)}}{2(-1)}

x=\dfrac{-2\pm \sqrt{4+4}}{-2}

x=\dfrac{-2\pm \sqrt{8}}{-2}

x=\dfrac{-2\pm 2\sqrt{2}}{-2}

Factoring out common elements.

x=\dfrac{-2(1\pm \sqrt{2})}{-2}

x=1\pm \sqrt{2}

The two solutions are

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We recognize that

\sqrt{2}=1.41

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1

Consequently, root x=1+\sqrt{2} is positive while x=1-\sqrt{2} is negative.

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2 months ago
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A bird sanctuary needs at least 500 lbs of corn per month. The storage shed
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Answer:

x≥(500-87)/40

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You decide to make milk a loss leader. You drop the price from its cost of $2.59 per gallon to $1.99 per gallon. What is the per
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Answer: The loss percentage per gallon is 23.17%

Step-by-step explanation:Original price per gallon is $ 2.59

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Now, we will calculate the percentage loss per gallon, using the Direct Rule of Three as follows:

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2.59           100

1.99               x*****************************

2.59 * x = 1.99 * 100

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So the percentage loss = 100 - 76.83

The percentage loss is 23.17%

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