If the trapezoid below is reflected across the x-axis, what are the coordinates
of B?
A. (4-8)
B.(-4,-8)
C. (-4,8)
D. ( -8,-4)

As you may have intentionally forgotten to add the diagram. The diagram of the trapezoid is attached below.

The point B(4, 8) after reflection across x-axis would be B'(4, -8).

B(4, 8)        →       B'(4, 8)  

Step-by-step explanation:

The rule of reflection across the x-axis states that a reflection of a point, let say M(x, y), across the x-axis does not change the value of x-coordinate but changes the sign of the y-coordinate of the point.

In a nutshell,

The point M(x, y) after reflection across x-axis would be M'(x, -y)

M(x, y)        →       M'(x, -y)

From the diagram attached below, the coordinate of point B is (4, 8).

So, according to the rule of reflection across the x-axis, the coordinates of the image of the point B (4, 8) after the reflection across the x-axis will be B'(4, -8).

i.e.

The point B(4, 8) after reflection across x-axis would be B'(4, -8).

B(4, 8)        →       B'(4, 8)  

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true

30 feet

step-by-step explanation:

that would be 2 1/2 * 12

= 24 + 6

= 30 feet   (answer)