really need help with math problems?

Question

1.) Find the angle to the nearest degree (rounded degree) that
x - 3y - 4=0 makes a positive x-axis

2.) Determine the rational zeros: f(x)=x^3 + 2x^2 + 4x + 9

3.) Solve: tan (theta) = - .5 for all values of (theta)

Answer 1

1) y = ax + b, then a is the slope is tan of the angle with the x-axis
x-3y=4 => y = (1/3) x - 4/3 , the atan(1/3) is the angle

2) x^3 + 2x^2 + 4x + 9
try divisiors of 9 , 1, -1, 3,-3 bnone of them work so there are no rational zeros. ( only irrationals )

3) tan(x) = -1/2
i dont do this one , -30 degrees, draw a rectangle and you have the solution

Answer 2

hey actually is quite easy
..but quite difficult to explain it through the web ..probably for the 1st question u can draw the line out...it is a postive gradient ..so angle should be acute