18. a rectangle on a digital display board is made
so that its width varies directly as its length. the
current rectangle displayed is shown below. what
is the area of a rectangle that is 15 inches long?
(12.5 in.
5 in.

Step-by-step explanation:

The missing figure is attached.

Direct variation equations have the following form:

Where "k" is the Constant of variation.

Since  the width  of the rectangle varies directly as its length, you can write this equation:

Where "l" is the lenght in inches and "w" is the width in inches of the rectangle.

Observe in the figure that when ; then you can substitute them into the equation and solve for "k":

Therefore, the width is:

Since the area of the rectangle can be calculated multiplying its lenght by its width, you get that the area of the rectangle that is 15 inches long is:

i got 142 as my answer

step-by-step explanation:

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation: