Find the six trigonometric function values of the angle θ in standard position, if the terminal side of θ is defined by x + 2y = 0, x ≥ 0.

Step-by-step explanation:

First, we need to draw the terminal position of the given angle. To do so, we need to find a point that lies on the straight line

If we choose (we can do so because of the condition , which means that any positive value is suitable for ), then we have

Therefore, the terminal side of the angle  is passing through the origin and the point   and now we can draw it.

The angle    is presented below.

The distance of the point   from the origin equals

Now, we can determine the values of the six trigonometric function, by using their definitions.

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17

well we know there are 4 clubs in 52 cards so it’s replaced so it should be 3/51

step-by-step explanation: