Problem

Simplify and write the result in standard form, $a+b i$.
\[
\frac{-8-10 i}{-2}
\]
Select one:
a. $4+10 i$
b. $4+5 i$
c. $4-5 i$
d. $4-10 i$

Answer

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Answer

Final Answer: \(\boxed{4+5 i}\)

Steps

Step 1 :The problem is asking to simplify a complex number division. To solve this, we need to divide both the real and imaginary parts of the numerator by the denominator.

Step 2 :Given the numerator as (-8-10i) and the denominator as -2.

Step 3 :Divide both the real and imaginary parts of the numerator by the denominator.

Step 4 :The result of the division is a complex number with real part 4 and imaginary part 5.

Step 5 :This matches with option b in the multiple choice answers.

Step 6 :Final Answer: \(\boxed{4+5 i}\)

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