Answer:
x² + 7x + 49/4 = (x + 7/2)²
Step-by-step explanation:
x² + bx + c is a perfect square when c = (b/2)².
b = 7, c = (7/2)² = 49/4.
x² + 7x + 49/4 = (x + 7/2)²
Answer:

Step-by-step explanation:
We are given that
Length of flat piece of material=14 in
Width of flat piece of material=6 in
We have to find the volume of box as a function of x.
An open box is made from flat piece of material by cutting equal squares of length x from the corner and folding up the sides.
Therefore, Height of box=x in
Length of box=14-2x in
Width of box=6-2x in
We know that volume of box=
Using the formula
Volume of box=f(x)=
1. 4
2. 1
3. 33
4. 6
Hope this helps! :)
a^2 = c^2 - b^2 = 64 - 4 =60
So a = the square root of 60.