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Masteriza [31]
3 years ago
10

Write the equation of the line in slope intercept form that goes through the points (5, 8) and (6,5)

Mathematics
1 answer:
Bingel [31]3 years ago
5 0
Okay so first plug this in
8-5
——
5-6

3/-1

-3

Slope= -3

y=-3x+b

Next, plug in one of the points to find b.

5=-3(6)+b
5=-18+b
+18 +18
—————
23=b

y=-3x+23

Hope this helps!!
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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

= {3(cosπ/6 + isinπ/6)}³

Using  DeMoivre’s Theorem;

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