Which complex number has a distance of square root of 17 from the origin on the complex plane?

OptionD

Step-by-step explanation:

4-i option d is the answer

REcall that when z =a+ib for a complex number distance from origin is

modulus z

|z|=

Apply the above rule for each option

Option 1.

Distance = not our answer

Similarly for option b

Distance = \sqrt{17^2+1^2}=\sqrt{290} not our answer

Option c:

\sqrt{20^2+3^2}=\sqrt{409}not matching with given value

Option d

Distance=\sqrt{4^2+1^2}=\sqrt{17}=given answer

    Hence option d is right

answer: a) (0,0), (1,1), (2,8), and (3,27).

step-by-step explanation:

0^3=0

1^3=1

2^3=8

3^3=27

in effect, the exponential equation for this would me y=3^x. each x-coordinate cubed is giving the y coordinate, so a is your answer : )