English, 02.09.2019 13:20 lisilyn2437

Convert the complex number into its polar representation:
-4

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-4i is a complex number, and complex number can be seen as vector too.
Polar form of a number, on the other hand is representation of the number in polar coordinates. So, converting complex number into its polar representation is writing the complex number in terms of a distance from the origin and a direction (or angle) from the positive horizontal axis.
The polar form of complex number can be written as:
x+yj=r(cos(alfa)+sin(alfa)), where r is the absolute value (the modulus) of the complex number and alfa is the argument of the complex number.
r=sqrt(x^2+y^2)=sqrt(4^2+0)=sqrt(16)=4
alfa=tanges^(-1)(0/4)=tanges(0)=0
-4i=4*(1+0)=4

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explanation:

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the correct answer is option d. the nature of democracy. on november 19, 1863, president abraham lincoln delivered his famous gettysburg address in gettysburg, pennsylvania. in his speech, rather than focusing on details of the war (soldiers, casualties, aftermath of battle), lincoln invoked the very nature of democracy, that power ultimately comes from the people, when stating, “government of the people, by the people, for the people shall not perish”. these words mean that democracy is a government by the people (citizens) in which the supreme power is vested in the people and exercised directly by the people or by their elected representatives for the benefit of all citizens. the survival of democracy in the united states is one of the reasons why this speech so significant today.

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Convert the complex number into its polar representation:
-4...