Given w= sqrt 2(cos( pi/4) + i sin (pi/4)) and z = 2(cos (pi/2 ) + i sin(pi/2)),

what is w- z expressed in polar form?

A. sqrt2 (cos(pi/4) + i sin(pi/4))

B. sqrt2 (cos(3pi/4) + i sin(3pi/4))

C. sqrt2 (cos(5pi/4) + i sin(5pi/4))

D. sqrt2 (cos(7pi/4) i sin(7pi/4))

Aline has a slope of and a y-intercept of –2. what is the x-intercept of the line?

What are the solutions of the equation? 6x^2 + 11x + 4 = 0 a. 4/3, 1/2 b. -4/3, -1/2 c. 4/3, -1/2 d. -4/3, 1/2

In one day there are too high tides into low tides and equally spaced intervals the high tide is observed to be 6 feet above the average sea level after six hours passed a low tide occurs at 6 feet below the average sea level in this task you will model this occurrence using a trigonometric function by using x as a measurement of time assume the first high tide occurs at x=0. a. what are the independent and dependent variables? b. determine these key features of the function that models the tide: 1.amplitude 2.period 3.frequency 4.midline 5.vertical shift 6.phase shift c. create a trigonometric function that models the ocean tide for a period of 12 hours. d.what is the height of the tide after 93 hours?