The dimensions of a rectangle are x+4 and 3x-1. Write an expression to represent the area of the rectangle.

9x^4 - 6x^3 + 97x2 - 88x + 16

Step-by-step explanation:

so (x + 4)(x + 4) = x^2 + 8x + 16 is the total length of the rectangle, and

(3x - 1)(3x - 1) = 9x^2 - 6x + 1, if you multiply each other, because Area = length times width, then you get the area.

(9x^2 - 6x + 1)(x^2 + 8x + 16) = 9x^4 + 72x^2 + 144x^2 - 6x^3 - 48x^2 - 96x + x^2 + 8x + 16, and then you add them all together = 9x^4 - 6x^3 + 98x^2  - 96x + 8x + 16 = 9x^4 - 6x^3 + 97x2 - 88x + 16

answer: hey there,

the answer you are looking for is a..

hope this you!

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c