Which statement describes how to geometrically determine the product of z = 25 – i and w = StartRoot 3 EndRoot + 3i on the complex plane? Stretch z by a factor of StartRoot 3 EndRoot and rotate 30° counterclockwise. Stretch z by a factor of StartRoot 3 EndRoot and rotate 60° counterclockwise. Stretch z by a factor of 2 StartRoot 3 EndRoot and rotate 30° counterclockwise. Stretch z by a factor of 2 StartRoot 3 EndRoot and rotate 60° counterclockwise.

sites:

you didn't post any answer choices, so its not 100% clear what your teacher is looking for

however, log(15/7) is equivalent to log(15) - log(7)

i'm using the rule log(x/y) = log(x) - log(y)

answer: b

step-by-step explanation:

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus