Graph the image of triangle UVW after a reflection across the line x = -1

9514 1404 393

  see attached

Step-by-step explanation:

Reflection over the line x = -1 alters the x-coordinates, but leaves the y-coordinates alone. The image point is as far horizontally from the reflection line as the pre-image point is.

Each new x-coordinate is the old one subtracted from twice the x-value of the line of reflection:

  (x, y) ⇒ (-2-x, y)

  U(-8, -6) ⇒ U'(6, -6)

  V(-3, -6) ⇒ V'(1, -6)

  W(-4, -1) ⇒ W'(2, -1)

people went from manufacturing one object at a time by hand to manufacturing many objects in factories

113.1

step-by-step explanation:

v=4

3πr3=4

3·π·33≈113.09734