Find the following quotient and express the answer in standard form of a complex number.

Complex numbers are numbers with real and imaginary parts.

The expression in standard form of a complex number is:

The expression is given as:

Rationalize

Collect like terms

Split

Hence, the expression in standard form of a complex number is:

Read more about complex numbers at:

link

Hello, please consider the following.

When you have a complex number in the denominator you need to multiply by its conjugate to eliminate the imaginary component.

The conjugate of 4 - 3i is 4 + 3i, right?

So, let's do it!

Thank  you.

use an equation of ratios to determine the amount of gas needed to fill the tank.

    0.2             0.8

  =    

288.75             x

                                                              231 gal

so, 0.2x = (0.8)(288.75 gal), and x = = 1155 gal.

                                                                0.2

it would take 1155 gal. to fill the tank.

the cost would be

1155 gal         $3

* = $3465   (answer)

      1           1 gal

hope this you

so far i think you have the right thing going for you just remember soh cah toh

step-by-step explanation:

sine over hypotenuse

cosine   equals adjacent

tangent over hypotenuse