Write the equation of the line that passes through (3, –2) and has a slope of 4 in point-slope form.
a. y + 2 = 4(x – 3)
b. y – 3 = 4(x + 2)
c. x – 3 = 4(y + 2)
d. x + 2 = 4(y – 3)

Researchers were interested in whether relaxation training decreases the number of headaches a person experiences. they randomly assigned 20 participants to a control group or a relaxation training group and noted the change in number of headaches each group reported from the week before training to the week after training. which statistical analysis should be performed to answer the researchers' question?

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.

Gabrielle's age is two times mikhail's age. the sum of their ages is 84. what is mikhail's age?