Answer:
5
Step-by-step explanation:
The number of cells in a tile is 4, so the board dimension cannot be odd, but must be a multiple of 2 in order to have the number of cells divisible by 4.
If the tiles are colored in an alternating pattern, tiles must have 3 of one color and 1 of the alternate color. Hence the total number of tiles used to cover a board must be even (so the numbers of each color match). Then the board dimension must be divisible by 4.
In the given range, there are 5 such boards:
4×4, 8×8, 12×12, 16×16, and 20×20
Answer:
Step-by-step explanation:
We can use the point-slope form given by:
Where <em>m</em> is the slope and (x₁, y₁) is a point.
So, we will substitute -2 for <em>m</em> and (5, 2) for (x₁, y₁). This gives us:
Simplify:
Distribute:
Add 2 to both sides. Hence, our equation is:
: Let y = f(x) = x^1/3
Then dy = 1/3*x^(−2/3) dx
Since f(64) = 4.
We take x = 64 and dx = ∆x = 1
This gives dy = 1/3*(64)^(−2/3)* (1) = 1/48
∴65^(1/3) = f(64 + 1) ≈ f(64) + dy = 4 + 1/48 ≈ 4.021 <span>
</span>
