Arectangular piece of metal is 8 in. longer than it is wide. squares with sides 3 in. long are cut from the four corners, and the flaps are folded upward to form an open box. which equation indicates that the volume of the box is 76 in. cubed?

Let the width be = w

The length will be = w+8

And height = 3 inches

Volume = l x w x h

=>

=>

=>

Solving this we get w = 2.43 inch or w = -10.43 inch

Neglecting the negative value, we get w = 2.43 inches.

And l= inches

the 2 figures are congruent bc if you reflect abcd over the y axis then over the d axis the figures overlap

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is