Write the equation of the circle in standard form. Then identify the center and radius of the circle. x2 + y2 – 10x + 8y + 37 = 0 center: ( , ) radius:

Do 12/14 and 8/10 have the same value? explain your answer.

What is the range of the relation in the table below? x y –2 0 –1 2 0 4 1 2 2 0

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?