This is the answer the first is for joe and the second is for Callie's
Answer:
See explanation below.
Step-by-step explanation:
The area of a plain domino equal the area of a 2-by-1 board, so it is easy to see that D4=4, D5=5, and so on.
Let's prove by induction than Dn=n for every natural number n.
1) Obviously, D1 is true.
2) Assume now that Dn is true for a given natural n, that is to say, a 2-by-n board can be covered with n dominoes.
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we must prove that this implies D(n+1) is also true.
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But the area of a 2-by-(n+1) board equals the area of a 2-by-n board plus the area of a 2-by-1 board.
By 2), we can cover the 2-by-n board with n dominoes and by 1) we can cover the 2-by-1 board with 1 domino, so we just need n+1 dominoes to cover the 2-by-(n+1) board, which is what we wanted to prove.
Answer:
(3,-2),
units
Step-by-step explanation:
the correct question is:
Write the ordered pair that represents yz. Then find the magnitude of yz . y(-2,5),z(1,3)
SOLUTION:
points given are y(-2,5) and z(1,3)
![^{ \to} _{YZ} = \binom{1}{3} - \binom{ - 2}{5} = \binom{3}{ - 2}](https://tex.z-dn.net/?f=%5E%7B%20%5Cto%7D%20_%7BYZ%7D%20%3D%20%20%5Cbinom%7B1%7D%7B3%7D%20%20-%20%20%5Cbinom%7B%20-%202%7D%7B5%7D%20%20%3D%20%20%5Cbinom%7B3%7D%7B%20-%202%7D)
so, the ordered pair is (3,-2)
next is to find the magnitude:
![|^{ \to} _{YZ}| = \sqrt{ {3}^{2} + ( - 2)^{2} }](https://tex.z-dn.net/?f=%7C%5E%7B%20%5Cto%7D%20_%7BYZ%7D%7C%20%20%3D%20%20%5Csqrt%7B%20%7B3%7D%5E%7B2%7D%20%2B%20%28%20-%202%29%5E%7B2%7D%20%20%7D)
![|^{ \to} _{YZ}| = \sqrt{ 9 +4}](https://tex.z-dn.net/?f=%7C%5E%7B%20%5Cto%7D%20_%7BYZ%7D%7C%20%20%3D%20%20%5Csqrt%7B%209%20%2B4%7D)
units
No because one will be 36 inches the other will be 36 centimeters they dont equal the same measurements
Hmm..when I try to open up your attachment I receive a 404 error.
Would you mind typing out your question?