Nikki is building a wall for her garden with bricks. each brick is 10 inches long. the bricks are laid end-to-end, and one inch of mortar is layered between each brick. write an equation to model the number of bricks, n, nikki needs in each layer to build a wall 10 feet long

Step-by-step explanation:

It is given that,

Length of each brick = 10 inches

Mortar between between each brick = 1 inch

For 2 bricks, we need mortar once.

For 3 bricks, we need mortar 2 times.

For 4 bricks, we need mortar 3 times.

Similarly,

For n bricks, we need mortar (n-1) times.

Total length of n bricks = 10n inches

Total length of (n-1) times mortar = 1(n-1) = n-1 inches

Total length of wall = 10n + (n-1) inches.

1 feet  = 12 inches

10 feet = 120 inches

The equation to model the number of bricks,n, nikki needs in each layer to build a wall 10 feet long.

Therefore, the required equation is .

answers

\3. yes the presentation (i.e. odd numbers being written as differences of two squares) is possible for all odd natural number however the presentation may not be unique. for example,  57=112−82=292−28257=112−82=292−282.

\4. 2 can't be written as a difference of two squares because 4-1=3 and 1-1=0 and the difference of squares grows to integers larger that 3.

can i get some in proving questions 1 and 2?