The shaded region is a parallelogram.
The formula for the area of any parallelogram is
.
The base of the parallelogram is 2 meters long (given).
The height of the parallelogram is 9 meters (do not be fooled by the unnecessary information of 14 meters)
The height is 9 meters because the height has to be perpendicular to the base. Thus, the side length must be 9 meters.
Multiply them together.
The area of the parallelogram is 18 square meters.
6x=-5y
-5y=6x
so the answer is y=-6/5x
infinitely many solutions
Answer:
R(1/3, 1), S(2, 4/3), T(4/3, 2/3)
Step-by-step explanation:
Dilation by a factor of 3 about the origin multiplies each coordinate by 3. To find what was multiplied by 3 to get the given coordinates, we divide the given coordinates by 3.
P ( x ) = x³ - 4 x² + 3 x - 12 =
= x² ( x - 4 ) +3 ( x - 4 ) = ( x - 4 ) · ( x² + 3 )
x - 4 = 0, x = 4
x² + 3 = 0, x² = - 3 ( there is no real solution )
Answer: In 4 years the company will break even.