The equation of a line is y = 3x+2. Which of the following would be a line that is perpendicular to this line ?

To get the solution, we first simply the equation:

(6-2x)(3x-2x^2) = 40

18x-18x^2-4x^3-40 = 0

Using the solver function of the calculator, we compute for the values of x.

The answers given are:

x1=−5.61787

x2=0.55893+1.21146∗i

x3=0.55893−1.21146∗i

Since dimension cannot be negative nor imaginary, therefore it is not possible to make a box with 40in^3 volume.