The vertices of trapezoid ABCD are A(3,-2), B(7,-2), C(8,- 7), and D(1, - 7). Graph ABCD and A'B'C'D', its image after a reflection across the x-axis.

B

Step-by-step explanation:

When reflecting a figure over the x-axis, flip the sign of the y-coordinates for the vertices.

For this figure, trapezoid ABCD, the vertices are:

A (3, -2)

B (7, -2)

C (8, -7)

D (1, -7)

Flipping the signs of the y-coordinates gives us:

A (3, 2)

B (7, 2)

C (8, 7)

D (1, 7)

The only graph that has trapezoid A'B'C'D' with vertices matching these four values is the graph for B, so the answer is B.

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

hiking down a winding trail.

step-by-step explanation: