Question

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Answer 1

Question:

Solution:

The midpoint of the line segment joining two complex numbers a+bi and s+ti is the average of the numbers at the endpoints. That is, the Midpoint Formula is:

`M\text{ = }(a+s)/(2)+((b+t))/(2)i`

note that in this case:

a+bi = 3 + 8i

and

s+ti = 2-i = 2-(1)i

thus, the midpoint between these two complex numbers is:

`M\text{ = }(a+s)/(2)+((b+t))/(2)i\text{ = }(3+2)/(2)+((8-1))/(2)i`

that is:

`\text{ }(3+2)/(2)+((8-1))/(2)i\text{ = }(5)/(2)+(7)/(2)i`

so that, the correct answer is:

`(5)/(2)+(7)/(2)i`