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nirvana33 [79]
3 years ago
12

Solve and Graph -x+4y=-16

Mathematics
1 answer:
nikdorinn [45]3 years ago
3 0
Hoped that this helpedd!!

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Simplify the given expression below: 4 divided by the quantity of 3 minus 2i
svetoff [14.1K]
This is rationalising the denominator of an imaginary fraction. We want to remove all i's from the denominator.

To do this, we multiply the fraction by 1. However 1 can be expressed in an infinite number of ways. For example, 1 = 2/2 = 3/3 = 4n^2 / 4n^2 (assuming n is not zero!). Let's express 1 as the complex conjugate of the denominator, divided by the complex conjugate of the denominator.

The complex conjugate of (3 - 2i) is (3 + 2i). Then do what I just said:

4/(3-2i) * (3+2i)/(3+2i) = 4(3+2i)/(3-2i)(3+2i) = (12+8i)/(9-4i^2) = (12+8i)/(9+4) = (12+8i)/13

This is the answer you are looking for. I hope this helps :)
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It is 57/8 ! You should use this math calculater! it's called calculater soup!
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Step-by-step explanation:

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trust me on this one i love using that hack

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