The change would just be a subtraction of money worth $55 to Emily's total savings. As long as you know the value of Emily's savings, you can determine the savings balance or the change. They are just the same thing.
<span>cos 2x + sqrt(2) sinx=1
</span><span>
Note that: cos 2x = cos^2x - sin^2x = (1-sin^2x) - sin^2x = 1 - 2sin^2x.
So, when alternatively written, you have the following equation:
</span>- 2sin^2x + sqrt(2)sinx + 1 = 1
- 2sin^2x + sqrt(2)sinx = 0
Then, let z=sin(x). So you get,
- 2z^2 + sqrt(2)z = 0
z(- 2z + sqrt(2)) = 0
Either z=0, or - 2z + sqrt(2) = 0 ---> z=sqrt(2)/2.
Then, since z=0 or z=sqrt(2)/2, therefore sin(x)=0, or sin(x)=sqrt(2)/2.
Then, for you remains just to list the angles. (Let me know if this is not fair or if you got questions.)
Answer:
You just divide 6 by 3 which makes it 50% chance.
Step-by-step explanation:
Which means the answer is 3/6
Means compplete the square on one side
basically get into form
ok, group x terms
factor out linear coefient (-8)
take 1/2 of the linear coefient and square it
8/2=4, 4^2=16
add positive and negaitve of that inside parntheaese
factor perfect square
expand
in vertex form it is
Answer:
x=-5/3
Step-by-step explanation:
Add 5 to both sides to get 5=-3x.
Then divide by -3.
And get -5/3=x
