(5 - 3i)(6 + 2i) multiply and simplify. a) 24 - 8i b) 24 + 8i c) 30 - 2i d) 36 - 8i

The correct answer is D

Step-by-step explanation:

36 - 8i is correct. Using FOIL we get 30 - 8i - 6i2, but since i2 = -1, we get 30 - 8i - 6(-1), which is 30 - 8i + 6 = 36 - 8i.

c

step-by-step explanation:

there is vertical asymptote at x = 2 and x = 0

vertical asymptote occurs at the points where the denominator is 0. so we can say that

x = 2 occurs when there is a factor (x-2) in the denominator, and

x = 0 occurs when there is a factor "x" in the denominator

thus, the denominator of the equation would have "x * (x-2)", this is option c only. that's the correct answer.

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