Simplify
Let's simplify step-by-step.
x(5)−3(x−4)
Distribute:
=x(5)+(−3)(x)+(−3)(−4)
=5x+−3x+12
Combine Like Terms:
=5x+−3x+12
=(5x+−3x)+(12)
=2x+12
Answer:
=2x+12
0 cause there is no yellow paint there is only blue paint
The answer would be (0,2) because as shown in the graph ab crosses the y-axis at (0,2)
The tangent half angle formula, one of several, is

We have θ is opposite 4 in the 3/4/5 right triangle so



Answer: 1/2
This is actually pretty deep. It says half the big acute angle in the 3/4/5 triangle is the small diagonal angle of the 1x2 rectangle. Similarly, the small acute angle in 3/4/5 triangle is twice the small diagonal angle of the 1x3 rectangle.
I'm not really sure for 3, but for 4, it is not free of influence since they are waiting for a horror movie.
What would be better for question 4 is to ask people at the lobby or something before they are entering a movie theater so the results aren't "contaminated".