Respuesta :

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.

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