Hey help me fix

A) Volume of prism: 4 * 8 * 9 = 288 cubic units

B) Area of shaded base: 4 * 8 = 32 squared units

   Volume of prism: 32 * 9 = 288 cubic units

Step-by-step explanation:

The volume of a prism can be calculated by multiplying its length, width, and height. The length of the prism is 8, the width is 4, and the height is 9. Thus, we get 8*4*9 = 288 cubic units. (cubic units because we are dealing with volume)

The area of the shaded base can be found by multiplying its length by its width. The length is 8 and the width is 4. Thus, 4*8 = 32 squared units (squared because we are dealing with area)

The volume of the prism using the area of the shaded base can be calculated by multiplying the area of the shaded base by the height, this is because the area of the shaded base is already the length * width and thus we only need to multiply by the height which is 9. Therefore we get 32 (area of shaded region) * 9 (height) = 288 cubic units.

step-by-step explanation:

compare

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be