Describe the locus of points representing z if (z-2)/(z+2) is purely imaginary.

the answer is |z| = 2.
i can form the locus equation x^2 + y^2 = 4 from the given info. i just don't know how to get from there to the answer. is much appreciated!

In which quadrant does the point lie? write the coordinates of the point. a. quadrant ii; (–2, –4) b. quadrant iii; (2, 4) c. quadrant iii; (–2, –4) d. quadrant iv; (–4, –2)

Adele is 5 years older than timothy. in three years, timothy will be 2/3 of adele’s age. what is adele’s current age?

Can someone take some time to me? i would really appreciate it. you very much. adia plans to wallpaper her bedroom. the measurements are 10’ by 12’ with 8’ ceilings. part 2: if each single roll of wallpaper covers 72 square feet, how many single rolls of wallpaper will adia need for her project?_ single rolls (type the number only) adia plans to wallpaper her bedroom. the measurements are 10’ by 12’ with 8’ ceilings. part 3: if each single roll of wallpaper covers 72 square feet, how many double rolls of wallpaper will adia need for her project?_ double rolls (type the number only)