When drawn in standard position, an angle a has a terminal ray that lies in the second quadrant and whose sine is equal to 9/41. Find the cosine of a in rational form (as a fraction).

Step-by-step explanation:

We have the angle in standard post has a sine ratio of

This means the opposite side length of the corresponding right triangle is 9 units and the hypotenuse is 41 units.

Using Pythagoras Theorem, the adjacent side length can be found using:

This implies that:

The cosine ratio is adjacent over hypotenuse.

Since we are in the second quadrant, the cosine ratio is negative;

x=.5, y=-5.5

Step-by-step explanation:

7x+y=5, 7x+y=-2

Simplifing 7x+y=5 first

7x+y=5

y=-7x+5

Next, 7x+y=-2

7x+y=-2

y=-7x-2

Plugging in -7x+5 into y

-7x+5=-7x-2

-14x=-7

x=.5

Plugging .5 into y=-7x-2

y=-7(.5)-2

y=-3.5-2

y=-5.5

I used substitution if your couldn't tell

Hope it helps!

Brainliest maybe? :o