find the coordinates of B' after a reflection after a reflection across the parallel lines; first across the line x = 2 and then across the y- axis.

  B'(-4, -1)

Step-by-step explanation:

Each reflection across x=k means the new x-coordinate is 2k-x.

Reflection across x=2:

   (x, y) ⇒ (4-x, y)

Reflection of that across x=0:

  (x, y) ⇒ (2·0 -(4-x), y) = (x-4, y)

The point is left-shifted by 4 units to ...

  B'(-4, -1)

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.

step-by-step explanation:

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