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Add the two complex numbers 6 + 7i and 10 + 2i. Write your answer as a complex number in standard form, a + bi.

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frika

1. The complex number 6 + 7i has

  • real part 6;
  • imaginary part 7.

2. The complex number 10 + 2i has

  • real part 10;
  • imaginary part 2.

3. When we add two complex numbers, we add real parts and imaginary parts separately:

(6+7i)+(10+2i)=(6+10)+(7+2)i=16+9i.

Answer: 16+9i

alinakincsem

Answer:

16 + 9i

Step-by-step explanation:

Every complex number has a real and an imaginary part.

We are given two complex numbers: [tex]6+7i[/tex] and [tex]10+2i[/tex].

The complex number [tex]6+7i[/tex] has 6 as the real part and 7 as the imaginary one. While in [tex]10+2i[/tex], 10 is the real part and 2 is the imaginary part.

We add real parts and imaginary parts separately in complex numbers:

[tex](6+7i)+(10+2i)[/tex]

[tex]= (6+10) + i(7+2)[/tex]

[tex]=16+9i[/tex]

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