Question

Complex number in standard form

Answer 1

Answer:

The answer is (C) $\frac{2}{3}+\frac{17}{2}i$

Step-by-step explanation:

∵ $\frac{2}{3}+6i+\frac{5}{2}i = \frac{2}{3}+\frac{12}{2}i+\frac{5}{2}i=$

                                                  = $\frac{2}{3}+\frac{17}{2}i$

∴ The answer is $\frac{2}{3}+\frac{17}{2}i$ in standard form

Answer 2

Answer:

Choice C is the answer.

Step-by-step explanation:

We have given an expression.

$(\frac{2}{3} +6i)+(\frac{5}{2}i)$

We have to simplify it and write it as complex number in standard form.

a+bi is a complex number in standard form.

$\frac{2}{3}+6i+\frac{5}{2}i$

Adding like terms, we have

$\frac{2}{3} + (6+\frac{5}{2})i$

$\frac{2}{3} +(\frac{12+5}{2})i$

$\frac{2}{3}+(\frac{17}{2})i$

$\frac{2}{3}+\frac{17}{2}i$ which is the answer.