kalaoui2325 kalaoui2325
  • 23-03-2020
  • Mathematics
contestada

Write the quotient in the a + bi form: (12 - i) ÷ (8 - 4i)

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 23-03-2020

Answer:

  1.25 +0.5i

Step-by-step explanation:

[tex]\dfrac{12-i}{8-4i}=\dfrac{(12-i)(8+4i)}{(8-4i)(8+4i)}=\dfrac{96+40i-4i^2}{8^2-(4i)^2}\\\\=\dfrac{100+40i}{64+16}=\boxed{1.25+0.5i}[/tex]

Answer Link

Otras preguntas

What were the chief provisions in the USA Patriot Act? A. The government could eavesdrop on telephone calls and privileged conversations between prisoners and t
Jessica buys a shirt for $30 plus a 7% tax.what is her total?
Three of the following statements about the Protestant Reformation and Catholic Counter-Reformation are correct. Which is NOT? a. The Edict of Nantes ended a lo
Which sentence is written correctly? A. Gina shouldn't feel no pain once her wound heals. B. Greg wasn't never going to fly there. C. Barney can't do anythi
calculate the area of the circle. round your answer to the nearest hundredth.
What's the balanced equation for cellular respiration?
36 is _______% less than 60? 24% 40% 60% 67%
Why did the development of time zones make train schedules more reliable?
Why are young Eastern European democracies at an increased risk for turmoil during a global recession? Anger against increased democracy Failure of the free mar
Why do cells need a selectively permeable barrier?