Prove the Identity: 4(cos6θ + sin6θ) = 1 + 3cos22θ

The measures of the legs of a right triangle are 15m and 20m . what is the length of the hypotenuse

Which one is the correct answer, and why?

Astudent draws two parabolas on graph paper. both parabolas cross the x-axis at (–4, 0) and (6, 0). the y-intercept of the first parabola is (0, –12). the y-intercept of the second parabola is (0, –24). what is the positive difference between the a values for the two functions that describe the parabolas? write your answer as a decimal rounded to the nearest tenth