Answer:
if all the corners are 90 degree angles:
x = -12
Step-by-step explanation:
2x+3 = x-9
x = -12
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Answer:
<h2>x = 0</h2><h2>y = - 2</h2>
Step-by-step explanation:
-5x + y = -2………… Equation 1
-3x + 6y = -12 ………… Equation 2
Using substitution
Make y the subject in equation 1 and substitute it into equation 2 and solve for x
That's
y = 5x - 2
We have
- 3x + 6( 5x - 2) = - 12
- 3x + 30x - 12 = - 12
27x = - 12 + 12
27x = 0
Divide both sides by 27
x = 0
Substitute x = 0 into y = 5x - 2
We have
y = 5(0) - 2
y = - 2
So the solutions are
<h3>x = 0 </h3><h3>y = - 2</h3>
Hope this helps you
The circumference involves 360 degrees.
60 degrees is one sixth of the circle (60/360)
So, one sixth of 72 is 12.
Answer:
9.11*10^-4 %
Step-by-step explanation:
To find the probability, you simply need to find the possible outcomes that allows no rooks to be in danger, and the possible amount of ways to place the rooks.
For the first outcome, you start by putting 1 rook in the first columns, you have 8 possible rows to do this. The next rook in the next column will only have 7 possible rows, as you have to exclude the one where the previous rook is located. The next rook, 6 possibilities, the next 5, and so on. So we conclude that the total amount of ways so that none of the rooks can capture any of the other rooks is 8*7*6*5*4*3*2*1 = 8! = 40320
In order to find the total amount of ways to place the rooks, you can just use a combinatoric:
![\left[\begin{array}{ccc}64\\8\end{array}\right]= \frac{64!}{8!(64-8)!} = 4.43*10^9](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D64%5C%5C8%5Cend%7Barray%7D%5Cright%5D%3D%20%5Cfrac%7B64%21%7D%7B8%21%2864-8%29%21%7D%20%3D%204.43%2A10%5E9)
Then:
P = 