Answer:
Step-by-step explanation:
Equations a, c, and d are all linear. They take the form of y = mx + b.
b. 4xy + 3 / x = 12 is nonlinear, due to the (3/x) term. See attachment.
Answer:
12(5x-y)
Step-by-step explanation:hope this help
Answer:
f(x) = x/4
Step-by-step explanation:
To find the inverse of a function replace the positions of x and y. Then isolate y.
y = 4x
x = 4y
x/4 = y
f(x) = x/4
Answer: sin u = -5/13 and cos v = -15/17
Step-by-step explanation:
The nice thing about trig, a little information goes a long way. That’s because there is a lot of geometry and structure in the subject. If I have sin u = opp/hyp, then I know opp is the opposite side from u, and the hypotenuse is hyp, and the adjacent side must fit the Pythagorean equation opp^2 + adj^2 = hyp^2.
So for u: (-5)^2 + adj^2 = 13^2, so with what you gave us (Quad 3),
==> adj of u = -12 therefore cos u = -12/13
Same argument for v: adj = -15,
opp^2 + (-15)^2 = 17^2 ==> opp = -8 therefore sin v = -8/17
The cosine rule for cos (u + v) = (cos u)(cos v) - (sin u)(sin v) and now we substitute: cos (u + v) = (-12/13)(-15/17) - (-5/13)(-8/17)
I am too lazy to do the remaining arithmetic, but I think we have created a way to approach all of the similar problems.
