Question

The number 4 + i is multiplied by some real number to yield 2 + one-half i. Which equation is true?

Answer 1

Answer:

A. (1/2)(4+i)= 2+ (1/2)i

Step-by-step explanation:

Answer 2

The equation 1/2(4+i) = 2+(1/2)i is the transformation if we multiply the complex number 4 + i with 1/2 option first is correct.

What is a complex number?

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

We have a complex number:

= 4+i

Multiply it by 1/2

$= \rm \dfrac{1}{2}(4+i)\\\\\rm =2+ \dfrac{1}{2}i$

$\rm \dfrac{1}{2}(4+i) =2+ \dfrac{1}{2}i$

Thus, the equation 1/2(4+i) = 2+(1/2)i is the transformation if we multiply the complex number 4 + i with 1/2 option first is correct.

Learn more about the complex number here:

https://brainly.com/question/10251853

#SPJ2