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

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GinnyAnswer
To add the two complex numbers [tex]\(6 + 7i\)[/tex] and [tex]\(10 + 2i\)[/tex], we need to combine their real and imaginary parts separately.

1. Add the real parts:
[tex]\[ 6 + 10 = 16 \][/tex]

2. Add the imaginary parts:
[tex]\[ 7i + 2i = 9i \][/tex]

Putting these together, the sum of the complex numbers [tex]\(6 + 7i\)[/tex] and [tex]\(10 + 2i\)[/tex] is:
[tex]\[ 16 + 9i \][/tex]

Therefore, the answer in standard form [tex]\(a + bi\)[/tex] is [tex]\(16 + 9i\)[/tex].
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