4x + 12x = 32
combine like terms
16x = 32
divide
x = 2
AB = 8
X = 2
I hope this is the answer you're looking for.
Cos θ=1/3
cos θ=sen (90-θ)
therfore:
sen (90-θ)=1/3
To chek
θ=arc cos 1/3=70.53º
sin (90-θ)=sin (90º-70.53º)=sin 19.47≈0.3333≈1/3
70-q-q-2q= 80
combine like terms first
so you get 70-4q= 80
subtract 70 on both sides and you get -4q= 10
divide -4 on both sides and you get q= 10/-4 or -2.5
1) Taking in account that the function is f(x)= -(2/3) |x+4|-6, I enclose a file with the graph.
That helps you to conclude:
a) The graph of f(x) has a vertex on (-4, -6)
b) When you multiply a function times 2/3 it is vertically compressed which is equivalent to horizontally streched.
c) The graph of f(x) opens downward
d) The domain of f(x) is all the real values (the absolute function accepts any value of x either positive or negative)
Answer: the graph of f(x) is horizontally stretched.