Answer:
The length of each side of the 9 in
Step-by-step explanation:
The volume of the gift box is 972 in. The height of the gift box is 12 inches
and the area of the base is 81 in².
We want to determine the length of each side of the square base if the base shape is a square.
Recall that, the area of a square is
It was given that, the area of this base is 81 in²
Take positive square root:
Answer:
Points -2 and -6 on the number line are the two solutions.
Step-by-step explanation:
Use the definition of absolute value as a starting point
To solve the equation, you need to treat the two cases as above:
The solution x=-2 is consistent with the condition x>=-4, so it is the first and valid solution. Now the second case of the absolute value:
Again, the second solution -6 complies with the requirement that x<-4, so it is valid.
