Answered

At Westonci.ca, we connect you with the answers you need, thanks to our active and informed community. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

Simplify the following expression:

[tex](-8 - 4i) + (-1 - 6i) = ?[/tex]

F. -19

G. 19

H. [tex]-19i[/tex]

J. [tex]-38i[/tex]

K. [tex]-9 - 10i[/tex]

Sagot :

GinnyAnswer
To solve the given problem of adding two complex numbers [tex]\((-8 - 4i)\)[/tex] and [tex]\((-1 - 6i)\)[/tex], follow these steps:

1. Identify the Real Parts:
- The real part of the first complex number [tex]\((-8 - 4i)\)[/tex] is [tex]\(-8\)[/tex].
- The real part of the second complex number [tex]\((-1 - 6i)\)[/tex] is [tex]\(-1\)[/tex].

2. Identify the Imaginary Parts:
- The imaginary part of the first complex number [tex]\((-8 - 4i)\)[/tex] is [tex]\(-4i\)[/tex].
- The imaginary part of the second complex number [tex]\((-1 - 6i)\)[/tex] is [tex]\(-6i\)[/tex].

3. Add the Real Parts:
- [tex]\(-8 + (-1) = -9\)[/tex]

4. Add the Imaginary Parts:
- [tex]\(-4i + (-6i) = -10i\)[/tex]

5. Combine the Results:
- The resulting complex number from adding the real and imaginary parts is [tex]\(-9 - 10i\)[/tex].

Therefore, [tex]\((-8 - 4i) + (-1 - 6i) = -9 - 10i\)[/tex].

So, the correct answer is:
[tex]\[ \boxed{-9 - 10i} \][/tex]
This corresponds to option [tex]\( K \)[/tex].
Thank you for choosing our service. We're dedicated to providing the best answers for all your questions. Visit us again. We hope this was helpful. Please come back whenever you need more information or answers to your queries. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.