In this figure, sin(a) = 2 3 what is the value of cos(b) ? a) 1 3 b) 2 3 c) 2 3 d) 3 2

The angles a and b sum to 90°, so they are complementary. A trigonometric identity asserts that cos(90° - a) = sin (a) for any angle a, so cos(b) = sin (a) = .

the equation of the parallel line would be y = 2x + 9

step-by-step explanation:

to start we need to find the slope of the original line. we can do that by looking at the coefficient of x, which is 2

since the slope of the original line is 2 and parallel lines have the same slope, we know the new line will also have 2 slope. now we can use that along with the point given in point-slope form to get the find equation.

y - y1 = m(x - x1)

y - 5 = 2(x + 2)

y - 5 = 2x + 4

y = 2x + 9