Complex number in standard form
Answer:
The answer is (C) [tex]\frac{2}{3}+\frac{17}{2}i[/tex]
Step-by-step explanation:
∵ [tex]\frac{2}{3}+6i+\frac{5}{2}i = \frac{2}{3}+\frac{12}{2}i+\frac{5}{2}i=[/tex]
= [tex]\frac{2}{3}+\frac{17}{2}i[/tex]
∴ The answer is [tex]\frac{2}{3}+\frac{17}{2}i[/tex] in standard form
Answer:
Choice C is the answer.
Step-by-step explanation:
We have given an expression.
[tex](\frac{2}{3} +6i)+(\frac{5}{2}i)[/tex]
We have to simplify it and write it as complex number in standard form.
a+bi is a complex number in standard form.
[tex]\frac{2}{3}+6i+\frac{5}{2}i[/tex]
Adding like terms, we have
[tex]\frac{2}{3} + (6+\frac{5}{2})i[/tex]
[tex]\frac{2}{3} +(\frac{12+5}{2})i[/tex]
[tex]\frac{2}{3}+(\frac{17}{2})i[/tex]
[tex]\frac{2}{3}+\frac{17}{2}i[/tex] which is the answer.