Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

-4*(20 i+10)= Your answer should be a complex number in the form a+bi where a and b are real numbers.

−4⋅(20i+10)= -4 \cdot(20 i+10)= \newlineYour answer should be a complex number in the form a+bi a+b i where a a and b b are real numbers.

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Precalculusright chevron icon
Write equations of cosine functions using propertiesright chevron icon

Full solution

Q. −4⋅(20i+10)= -4 \cdot(20 i+10)= \newlineYour answer should be a complex number in the form a+bi a+b i where a a and b b are real numbers.
  1. Multiply real part by −4-4: Multiply the real part of the complex number by −4-4.\newlineThe real part of the complex number 20i+1020i + 10 is 1010. Multiplying this by −4-4 gives us:\newline−4×10=−40-4 \times 10 = -40
  2. Multiply imaginary part by −4-4: Multiply the imaginary part of the complex number by -4＂).\(\newlineThe imaginary part of the complex number \$20i + 10\) is \(20i＂). Multiplying this by \$-4\) gives us:\(\newline\)\(\(-4\) \times \(20\)i = \(-80\)i＂)
  3. Combine results for final answer: Combine the results from Step \(1\) and Step \(2\) to get the final answer.\(\newline\)The real part from Step \(1\) is \(-40\) and the imaginary part from Step \(2\) is \(-80i\). Combining these gives us the final complex number:\(\newline\)\(-40 - 80i\)

More problems from Write equations of cosine functions using properties

Question
−9i⋅(6i+8)= -9 i \cdot(6 i+8)= \newlineYour answer should be a complex number in the form a+bi a+b i where a a and b b are real numbers.
Get tutor helpright-arrow

Posted 10 months ago

Question
15⋅(−4i+2)= 15 \cdot(-4 i+2)= \newlineYour answer should be a complex number in the form a+bi a+b i where a a and b b are real numbers.
Get tutor helpright-arrow

Posted 10 months ago

Question
13i⋅(1−5i)= 13 i \cdot(1-5 i)= \newlineYour answer should be a complex number in the form a+bi a+b i where a a and b b are real numbers.
Get tutor helpright-arrow

Posted 10 months ago

Question
14⋅(−2i+6)= 14 \cdot(-2 i+6)= \newlineYour answer should be a complex number in the form a+bi a+b i where a a and b b are real numbers.
Get tutor helpright-arrow

Posted 10 months ago

Question
10⋅(−6−9i)= 10 \cdot(-6-9 i)= \newlineYour answer should be a complex number in the form a+bi a+b i where a a and b b are real numbers.
Get tutor helpright-arrow

Posted 10 months ago

Question
−8i⋅(12−i)= -8 i \cdot(12-i)= \newlineYour answer should be a complex number in the form a+bi a+b i where a a and b b are real numbers.
Get tutor helpright-arrow

Posted 10 months ago

Question
−20⋅(2i−7)= -20 \cdot(2 i-7)= \newlineYour answer should be a complex number in the form a+bi a+b i where a a and b b are real numbers.
Get tutor helpright-arrow

Posted 10 months ago

Question
−3i⋅(8i+5)= -3 i \cdot(8 i+5)= \newlineYour answer should be a complex number in the form a+bi a+b i where a a and b b are real numbers.
Get tutor helpright-arrow

Posted 10 months ago

Question
−12⋅(8−2i)= -12 \cdot(8-2 i)= \newlineYour answer should be a complex number in the form a+bi a+b i where a a and b b are real numbers.
Get tutor helpright-arrow

Posted 10 months ago

Question
You pick a card at random, put it back, and then pick another card at random.\newline44\newline55\newline66\newline77\newlineWhat is the probability of picking a number greater than 55 and then picking a 44 ?\newlineWrite your answer as a percentage.
Get tutor helpright-arrow

Posted 1 month ago

View all (13)

Related topics

Algebra - Order of OperationsAlgebra - Distributive Property`X` and `Y` AxesGeometry - Scalene TriangleCommon MultipleGeometry - Quadrant