Answer:
$24.00 dollars. The problem is confusing, so sorry if this is wrong.
Step-by-step explanation:
To isolate c means to separate it completely on one side of the equals sign.
To isolate variables, you apply opposite operations.
In E = mc², m and c are being multiplied together. To separate them, you divide by the variable you want to get rid of. However, you must do this to both sides of the equation always. Whatever you do to one side of the equation you must do to the other side as well. This is so the equation remains true.
Since we want to isolate c, we'll start by dividing both sides by m.
E = mc²
E/m = mc²/m
E/m = c² -- The m's cancel as 1
Now we have c squared. The opposite of squaring something is taking its square root. Take the square root of each side.
E/m = c²
√(E/m) = √(c²)
√(E/m) = c -- Opposite operations cancel each other out
And you've isolated c!
Answer:
c = √(E/m)
One at 100,18 one at 200,14 one at 150,15 one at 125,20 and one at 225,12
Answer:
(x + 4) (x - 9)
Step-by-step explanation:
Factor the following:
x^2 - 5 x - 36
The factors of -36 that sum to -5 are 4 and -9. So, x^2 - 5 x - 36 = (x + 4) (x - 9):
Answer: (x + 4) (x - 9)
is in quadrant I, so 
.
is in quadrant II, so 
.
Recall that for any angle 
,
Then with the conditions determined above, we get
and
Now recall the compound angle formulas:
as well as the definition of tangent:
Then
1. 
2. 
3. 
4. 
5. 
6. 
7. A bit more work required here. Recall the half-angle identities:
Because is in quadrant II, we know that 
is in quadrant I. Specifically, we know 
, so 
. In this quadrant, we have 
, so
8. 
