The steps for determining the center and radius of a circle using the completing the square method are shown below: step 1 [original equation]: x2 + 4x + y2 + 2y = 20 step 2 [group like terms]: (x2 + 4x) + (y2 + 2y) = 20 step 3 [complete the quadratics]: (x2 + 4x + 4) + (y2 + 2y + 1) = 20 + (4 + 1) step 4 [simplify the equation]: (x2 + 4x + 4) + (y2 + 2y + 1) = 25 step 5 [factor each quadratic]: (x + 2)2 + (y + 1)2 = 52 step 6 [identify the center and radius]: center = (2, 1) radius = 5 which step is incorrect, and how can it be fixed? a. step 3, replace 1 with 2 b. step 5, replace 2 with 4 and replace 1 with 2 c. step 6, replace (2, 1) with (−2, −1) d. all steps are correct.

Aline parallel to a triangle's side splits ab into lengths of x - 5 and x + 2. the other side, ac, is split into lengths of x and x + 12. what is the length of ac? a) 12 b) 24 c) 36 d)

If sr is 4.5cm and tr is 3cm, what is the measure in degrees of angle s?

In new york city at the spring equinox there are 12 hours 8 minutes of daylight. the longest and shortest days of the year very by two hours and 53 minutes from the equinox in this year the equinox falls on march 21 in this task you use trigonometric function to model the hours of daylight hours on certain days of the year in new york city a.what is the independent and dependent variables? b.find the amplitude and the period of the function. c.create a trigonometric function that describes the hours of sunlight for each day of the year. d. graph the function you build in part c. e. use the function you build in part c to find out how many fewer daylight hours february 10 will have than march 21. you may look at the calendar.