Answer:
![A=-5+9i](https://tex.z-dn.net/?f=A%3D-5%2B9i)
Step-by-step explanation:
![\left(3+4i\right)-\left(8-5i\right)\\\\\mathrm{Group\:the\:real\:part\:and\:the\:imaginary\:part\:of\:the\:complex\:number}\\\left(a+bi\right)\pm \left(c+di\right)=\left(a\:\pm \:c\right)+\left(b\:\pm \:d\right)i\\\\=\left(3-8\right)+\left(4+5\right)i\\3-8=-5\\4+5=9\\\\=-5+9i](https://tex.z-dn.net/?f=%5Cleft%283%2B4i%5Cright%29-%5Cleft%288-5i%5Cright%29%5C%5C%5C%5C%5Cmathrm%7BGroup%5C%3Athe%5C%3Areal%5C%3Apart%5C%3Aand%5C%3Athe%5C%3Aimaginary%5C%3Apart%5C%3Aof%5C%3Athe%5C%3Acomplex%5C%3Anumber%7D%5C%5C%5Cleft%28a%2Bbi%5Cright%29%5Cpm%20%5Cleft%28c%2Bdi%5Cright%29%3D%5Cleft%28a%5C%3A%5Cpm%20%5C%3Ac%5Cright%29%2B%5Cleft%28b%5C%3A%5Cpm%20%5C%3Ad%5Cright%29i%5C%5C%5C%5C%3D%5Cleft%283-8%5Cright%29%2B%5Cleft%284%2B5%5Cright%29i%5C%5C3-8%3D-5%5C%5C4%2B5%3D9%5C%5C%5C%5C%3D-5%2B9i)
Step-by-step explanation:
÷6![\frac{3}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D)
First, simplify the 6
to an improper fraction, which is:
![\frac{27}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B27%7D%7B4%7D)
Next rewrite the equation using the improper fraction:
÷![\frac{27}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B27%7D%7B4%7D)
Now, in order to divide the fraction, we will need to flip the second fraction over, and then multiply the two fractions together. A great way to remember this is the phrase <em>Copy Dot Flip - </em>Copy the first fraction, put a dot for multiplication, and flip the second fraction.
·![\frac{4}{27}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B27%7D)
Finally, multiply together and simplify/reduce if needed:
<u>The final answer is </u>
<u> and no simplification or reduction is needed</u>
Answer:
We would need pictures of the figures first :(