Mathematics: Simplify 8 over the quantity of 2 plus 2i.

Simplify 8 over the quantity of 2 plus 2i.

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aunyeabowers

16.03.2022

$\dfrac{8}{2+2i}=\dfrac{8}{2(1+i)}=\dfrac{4}{1+i}=\dfrac{4}{1+i}\cdot\dfrac{1-i}{1-i}=\dfrac{4(1+i)}{1^2-i^2}\\\\=\dfrac{4(1+i)}{1-(-1)}=\dfrac{4(1+i)}{1+1}=\dfrac{4(1+i)}{2}=2(1+i)=2+2i\\\\Used:\\(a-b)(a+b)=a^2-b^2\\\\i=\sqrt{-1}\to i^2=-1$

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Ответ:

dpaul4287

03.03.2023

Mathematics

Hello, the answer you are looking for is $6.35. To get the answer, first do 7.50 divided by 5, is 1.50 off the admission that is 20% off then $7.50-1.50= $6 then you do 6 divided by 100= 0.06 x 5.75 % tax you add together total will be $6.35 the answer.

I hope you understand the steps I explain.

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Simplify 8 over the quantity of 2 plus 2i.

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