Question
$$\frac{3 i+2}{-i-3}$$If the expression above is expressed in the form $a+b i,$ where $i=\sqrt{-1}$, what is the value of $b ?$1. -0.72. 0.73. -0.94. 0.9
Step 1
The conjugate of $-i-3$ is $i+3$. So, we have: $$\frac{3 i+2}{-i-3} \times \frac{i+3}{i+3}$$ Show more…
Show all steps
Your feedback will help us improve your experience
James Kiss and 82 other educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
If $(4+3 i)(1-2 i)=a+b i,$ then what is the value of a? (Note that $i=\sqrt{-1} )$
$$(3+4 i)-(2+3 i)$$ Given that $i=\sqrt{-1}$, what is the value of the expression above? 1. $1-i$ 2. $1+i$ 3. $1+7i$ 4. $5+7i$
If $a=\frac{\sqrt{3}+\mathrm{i}}{2}$, then the value of $1+\mathrm{a}^{3}+\mathrm{a}^{6}+\mathrm{a}^{9}+\mathrm{a}^{12}+\mathrm{a}^{15} \mathrm{is}$ (a) 1 (b) 0 (c) $1+\mathrm{i}$ (d) $\frac{\sqrt{3}+\mathrm{i}}{2}$
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD