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goblinko [34]
3 years ago
14

Which complex number is the simplified form of 2+5i3+i2+5i3+i?

Mathematics
1 answer:
viva [34]3 years ago
8 0

Answer:

Option (1)

Step-by-step explanation:

The given complex  number is (2+5i)/(3+i)

multiplying the numerator and the denominator by the conjugate of (3+i) which is (3-i)

The denominator = (3+i)(3-i) = 3² - i² = 9 - (-1) = 10

The numerator  = (2 + 5 i ) ( 3 - i ) = 2(3-i) + 5i (3 - i)

                          = 6 - 2i + 15 i - 5 i²

                          = 6 + 13 i + 5 = 11 + 13 i

So, the given complex number can be simplified to ( 11 + 13i)/10

Distributing numerator over denominator.

The simplified  number = (11/10) + (13/10) i

The answer is option (1)

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Answer:

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Step-by-step explanation:

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The ratio is represented as:

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Required

Find the coordinates of R

The coordinates of R is calculated by:

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Substitute values for m, n, x's and y's

R(x,y) = (\frac{2 * 5 + 3 * -2}{2+3},\frac{2*6 + 3*-6}{2+3})

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2 years ago
How might snakes running out of food affect other organisms such as hawks? please help
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Answer:

The population of Hawks and other species would likely start to edge off.

Step-by-step explanation:

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Step-by-step explanation:

We solve this question using z score formula

z = (x-μ)/σ, where

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μ is the population mean

σ is the population standard deviation

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Probability value from Z-Table:

P(x ≤ 2.5) =P(x < 2.5) = P(x = 2.5) =

=0.065547

Therefore, the proportion of baby boys that are born with a low birth weight is 0.066

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