Answer: option <span>D) y=x, x-axis, y=x, y-axis</span>.
I first thought it was the option C) and I tried with it but it was wrong. This is how I dit it.
Option C step by step:
<span>1) Reflection over the x - axis => point with coordinates (a,b) is transformed into point with coordinates (a, -b)
2) Reflection over the line y = x => point with coordinates (a, -b) is transformed into point with coordinates (-b,a)
3) New feflection over the x - axis => (-b,a) transforms into (-b, -a)
4) New reflection over the line y = x => (-b,-a) transforms into (-a,-b)
Which shows it is not the option C).
Then I probed with option D. Step by step:
1) Reflection over the line y = x => (a,b) → (b,a)
2) Reflection over the x-axis => (b,a) → (b,-a)
3) Reflection over the line y = x => (b,-a) → (-a,b)
4) Reflection over the y-axis => (-a,b) → (a,b).
So, this set of reflections, given by the option D) transforms any point into itself, which proofs that the option D) is the right answer.
</span>
Answer:
x=2
Step-by-step explanation:
F(x) = 2x^2 - 8x +8
Axis of symmetry lies at the x coordinate of vertex
To find x coordinate of vertex use formula

from the given f(x) , a= 2 and b = -8
Plug in all the values


x=2
So the axis of symmetry at x=2
-2m-9 is the simplified expression
Answer: 
Step-by-step explanation:
<h3>
Since the figure is not attached, below you can see a general explanation of the procedure to solve the exercise: </h3>
For this exercise you can apply the following formula, which is used to calculate the area of a trapezoid:

Where "B" and "b" are the bases of the trapezoid and "h" is the height.
So, substituting values into the formula and evaluating, you can find the area of trapezoid-shaped region.
Since the population in the trapezoid-shaped region is about 3,000 people, you can find the number of people per square mile dividing the population by the area of the region.
Then, the following expression represents the number of people per square mile in that region:
