Few things are missing, they are volume of the box is 180 feet cube. Length is 9 feet greater than its height, and weight is 4 feet less than its height.

Step-by-step explanation:

Given, the volume of the box, V = 180 feet cube

Let the height of the box, h = x feet

Therefore, length is, l = ( 9+x ) feet

And width is, b = ( x-4) feet

so volume of the box is

V = l x b x h

$180= (x+9) \times (x-4) \times (x)$

$x^3 +5x^2-36x -180 =0$

Factorizing we get

(x+5)(x-6)(x+6)=0

Therefore,

x = -5, -6, 6

Now since the height of the box cannot be negative, so taking the positive value of x, we get

Height of the box, h = x = 6 feet

Length , l = ( 9+x ) = 9+6 = 15 feet

Width , b = ( x-4) = 6-4 = 2 feet

8 0

3 years ago

What is the slope of a line which is perpendicular to the line that has an equation of

nasty-shy [4]

First convert the equation in the form of y= mx + c

The equation will be like = y = 6x-5

value of m = 6

The slope of perpendicular line will be = -1/m = -1/6

4 0

3 years ago