Triangle R S T is shown. Angle R S T is a right angle. The length of R S is 10, the length of R T is 26, and the length of S T is 24.
Use the diagram and side lengths of triangle RST to determine the angles used for the trigonometric ratios.
sin() = Twelve-thirteenths
tan() = Five-twelfths

Solve 2x2 + 8 = 0 by graphing the related function. there are two solutions: . there are no real number solutions. there are two solutions: 2 and -2

Afunction g(x) has x-intercepts at (, 0) and (6, 0). which could be g(x)? g(x) = 2(x + 1)(x + 6) g(x) = (x – 6)(2x – 1) g(x) = 2(x – 2)(x – 6) g(x) = (x + 6)(x + 2)

Stu and ambrose are working together on a study of whether diet is related to students' mental health. first, they randomly select 10 students from the student center and 10 students from the office of counseling and psychological services. then, they ask students to rate their diet in terms of healthiness on a scale of 1-100 before completing a 20-item mental health survey. a) name one of the constructs being studied b) how was the construct you named above operationally defined in this experiment? e) was the variable you described above their independent variable, their dependent variable, or a controlled variable? d) what is a confounding variable? what is a potential confound in this study?