A graph shows the relationship between the height of a rectangular prism (x) and its volume (y) when the area of the base is 12 square inches.. Which statement is true about this graph? As the height increases, the volume increases proportionally. As the height increases, the volume increases in a non-proportional manner. As the height increases, the volume decreases proportionally. As the height increases, the volume decreases in a non-proportional manner.

I believe the answer is A

Step-by-step explanation:

When height increases the volume should as well.  

the value of v.w= -12.

step-by-step explanation:

we are given three vector r,v and w as:

r = < 5, -5, -2> ; v = < 2, -8, -8> ; w = < -2, 6, -5>

we know that r,v and w could also be represented as:

r=5i-5j-2k

v=2i-8j-8k

and w= -2i+6j-5k

where i,j and k are the unit vectors of x,y and z-axis respectively.

also we know that it has the following property:

i.i=1 ; j.j=1; k.k=1

and i.=j.i=i.k=k.i=j.k=k.j=0

i.e. when we multiply two vectors or we find it's dot product we need to only multiply the components of x coordinates with each other; y with each other and z with each other.

hence, v.w= (2i-8j- -2i+6j-5k)

                  = 2×(-2)+(-8)×(6)+(-8)×(-5)

                  = -4-48+40

                  = -12

hence, v.w= -12

x=-7

step-by-step explanation:

x+3=-10

-10+3=-7

x=-7