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Likurg_2 [28]
3 years ago
14

write the equation of a parallel to the given line and passing through the given point. y=-x+7; (7,1) I need the answer now plea

se
Mathematics
1 answer:
leva [86]3 years ago
7 0
Parallel lines have the same slope.  Since our reference line has a slope of -1, so will a line parallel to it.  Thus far we have:

y=-x+b, using point (7,1) we can solve for b

1=-7+b

8=b  so the parallel line passing through (7,1) is:

y=-x+8
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Use DeMoivre's Theorem to find (3cis*pi/6)^3
Sonbull [250]

The correct value of (3cis(pi/6))³ is 27i.

<h3>What is Complex Number?</h3>

Complex numbers are numbers that consist of two parts — a real number and an imaginary number. Complex numbers are the building blocks of more intricate math, such as algebra.

Given the complex number in polar coordinate expressed as

z = r(cos∅+isin∅)

zⁿ =  {r(cos∅+isin∅)}ⁿ

According to DeMoivre’s Theorem;

zⁿ =  rⁿ(cosn∅+isinn∅)

Given the complex number;

(3cis(pi/6))³

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Using  DeMoivre’s Theorem;

= 3³(cos3π/6 + isin3π/6)

=  3³(cosπ/2 + isinπ/2)

= 3³(0 + i(1))

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Thus, the correct value of (3cis(pi/6))³ is 27i.

Learn more about Complex number from:

brainly.com/question/10251853

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2 years ago
Simplify<br><br><br> (3x + 14) + (19x - 35)
Ray Of Light [21]

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22x -21

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Combine like terms

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