Find sec x if sin x = -7/25 and cot x = -24/7.
Show work.

25/24

Step-by-step explanation:

sin x = O/H = -7/25

cot x = A/O = -24/7

sec x = H/A

if sin x = -7/25, the opposite side is 7, and the hypotenuse is 25

if cot x = -24/y, the adjacent side is 24 (and the opposite side is still 7)

since H = 25 and A = 24, sec x = 25/24

Also, you know it's positive because when sin x is negative, the angle is in quadrants 3 or 4, and when cot x is negative, the angle is in quandrants 2 or 4, so the only quadrant that satisfies both is 4. In quadrant 4, sec x is positive.

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation:

(0.2)+(-8)=0.3+-3+0.3m is the equation i guess? ?

step-by-step explanation: