Answer:
The answer is D, 
Step-by-step explanation:
By graphing each one in a graphing tool like Desmos, you can determine which one it is.
If your looking for an actual explanation on how it is found, I can't really help you on that one.
a) The first integral corresponds to the area under y = f(x) on the interval [0, 3], which is a right triangle with base 3 and height 5, hence the integral is

b) The integral is zero since the areas under the curve over [3, 4] and [4, 5] are equal but opposite in sign. In other words, on the interval [3, 5], f(x) is symmetric and odd about x = 4, so

c) The integral over [5, 9] is the negative of the area of a rectangle with length 9 - 5 = 4 and height 5, so

Then by linearity, we have

9y = 6x + 54
divide through by 9:-
y = 6/9y + 54/9
y = 2/3 x + 6 <---- answer
Answer:
A. The lines stay parallel
Step-by-step explanation:
Rigid transformations do not change angle or line relationships. When the parallel lines are rotated they stay parallel. Reflecting them will keep them parallel. If this were not true, then figured with parallel lines like rectangles and squares would change shape when reflected.