m3rk098 m3rk098
  • 01-05-2018
  • Mathematics
contestada

hey can you please help me posted picture of question

hey can you please help me posted picture of question class=

Respuesta :

11beehshahbaz 11beehshahbaz
  • 01-05-2018
To remove the the complex number from the denominator we multiply and divide the entire expression with the conjugate of denominator.

The conjugate of 1 - 4i is 1 + 4i

So, we can write:

[tex] \frac{2+i}{1-4i}* \frac{1+4i}{1+4i} \\ \\ = \frac{2+8i+i-4}{1+16} \\ \\ =\frac{-2+9i}{17} \\ \\ = \frac{-2}{17} + \frac{9i}{17} [/tex]

So, the correct answer is option B
Answer Link

Otras preguntas

Do you think the west would have been settled as quickly without US government incentives
How many two third ounce can be made with 8ounces
La protección de unas especies de animales. La represa hidroeléctrica más grande de todo el mundo que queda en Paraguay. 2. los Jesuitas La razón por la que
In what layer are convection currents found? A. Continental crust B. Inner core C. Asthenosphere D. Oceanic crust
Factorize (3x+4) (3x-5) using identity
Which word best describes the result of 1848 revolts in europe
What is the equation of the line perpendicular to y=1/2x+6   that passes through the point (4, 1)? y=-2x+9 y=-1/2x+3 y=1/2x-1 y=2x-7
○horizontal translation of -1 followed by vertical translation of -2○ vertical translation of 1 followed by a horizontal translation of 2○ horizontal translatio
examples of eros agape and philos love
organized african methodist episcopal church organized republican party served in constitoutional convention elected to ga house of reperesenitives Based on the