Answer:Protect your King. Get your king to the corner of the board where he is usually safer. Don't put off castling. You should usually castle as quickly as ...
Don't Give Pieces Away.
Control the Center of the Chessboard.
Use All of your Chess Pieces. At the beginning of the game the chessboard is laid out so that each player has the white (or light) color square in the bottom right-hand side. The chess pieces are then arranged the same way each time. The second row (or rank) is filled with pawns. The rooks go in the corners, then the knights next to them, followed by the bishops, and finally the queen, who always goes on her own matching color (white queen on white, black queen on black), and the king on the remaining square. Each of the 6 different kinds of pieces moves differently. Pieces cannot move through other pieces (though the knight can jump over other pieces), and can never move onto a square with one of their own pieces. However, they can be moved to take the place of an opponent's piece which is then captured. Pieces are generally moved into positions where they can capture other pieces (by landing on their square and then replacing them), defend their own pieces in case of capture, or control important squares in the game. The king is the most important piece, but is one of the weakest. The king can only move one square in any direction - up, down, to the sides, and diagonally.
Step-by-step explanation:
Answer:
d = 6sqrt(2) or 8.4853
Step-by-step explanation:
<u><em>Formula</em></u>
P = 4*s
s^2 + s^2 = d^2 where d is the diagonal and s is the side.
<u><em>Givens</em></u>
P = 24
<u><em>Solution</em></u>
P = 4s Substitute for s
24 = 4*s Divide by 4
24/4 = s
s = 6
================
d^2 = s^2 + s^2
d^2 = 6^2 + 6^2
d^2 = 36 + 26
d^2 = 72
d = sqrt(72)
Factors of 72
72: 6 * 6 * 2
<em><u>Rule</u></em>: Every pair of = factors allows you to take one of them outside the sqrt sign and throw the other a way. If there are no pairs, whatever you started with stays under the root sign.
sqrt(6*6*2) = 6sqrt(2)
- The diagonal length is either
- d = 6*sqrt(2) or
- d = 8.4853
Answer:
r = -12cos(θ)
Step-by-step explanation:
The usual translation can be used:
Putting these relationships into the formula, we have ...
(r·cos(θ) +6)² +(r·sin(θ))² = 36
r²·cos(θ)² +12r·cos(θ) +36 +r²·sin(θ)² = 36
r² +12r·cos(θ) = 0 . . . . subtract 36, use the trig identity cos²+sin²=1
r(r +12cos(θ)) = 0
This has two solutions for r:
r = 0 . . . . . . . . a point at the origin
r = -12cos(θ) . . . the circle of interest
