Solve the equation sin x=cos(x+π/6) for -π≤x≤π

x = π/3

Step-by-step explanation:

sin x=cos(x+π/6)

       = cos (x) cos π/6 + sin (x) sin π/6

       = √3/2* cos x + 1/2* sin x

1/2* sin x = √3/2* cos x

sin x / cos x = (√3/2) / (1/2) = √3

tan x = √3    (-π≤x≤π)

x = π/3

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function the average rate of change from point to point can be calculated as

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,

u = -(6/7)w

step-by-step explanation:

place all values with 'u' on one side of the equation.

4u + 8w = - 3u + 2w

4u + 3u = 2w - 8w

further simplify the equation by solving the addition and subtraction.

7u = - 6w

make 'u' the independent variable by placing its co-efficient on the right-hand side.

u = - (6/7)w