The length, width, and height of a rectangular prism can be represented by the expressions (x+3), (x+7) and (x-1). what is the volume of the prism?

Ans:

x^3 + 9x^2 + 11x - 21

Step-by-step explanation:

length * width * height = volume

(x+3)(x+7)(x-1)

(x+3)(x+7)(x) + (x+3)(x+7)(-1)

x^3 + 10x^2 + 21x - x^2 - 10x - 21

x^3 + 9x^2 + 11x - 21

m∠vru = 80°

m∠urw = 15°

step-by-step explanation:

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