Double angle (or half angle, depending how you look at it) identities:
So we have
Note that when taking the square root, we should take into account that that could yield two possible solutions, but we know 
and 
, so it's also the case that 
.
Also, the reason we have equality in the last step can be explained like so:
(not unlike the process used to complete the square)
Answer:
For the first blank box, it would be 2, and for the second blank box, 40
Step-by-step explanation:
As we are told, we need 3 sticks of butter for every 24 cookies. We can make this simple by figuring out how many cookies we can make with one stick of butter.
To do this is easy: 24 divded by 3 = 8
So 8 cookies per stick of butter
16 cookies would be 2 sticks of butter (as 8 x 2 is 16, and there's 8 cookies per butter stick)
and with 5 sticks of butter, we do (5 x 8 ) which equals 40
Hope this helped !
Answer:
No Solution.
Step-by-step explanation:
y=2x+6
2x-y=2
--------------
2x-(2x+6)=2
2x-2x-6=2
-6=2
no solution
