The mistake is in step 3:
I: −2m =−12 − 2n
II: 2m = 8 + 8n
the student set both right sides of the equations equal (−12 − 2n = 8 + 8n), but the left sides aren't equal: first equation has -2m, second has +2m so the signs of one of the equations must be inverted first
I think the answer is Tang Dynasty.
Hope this helped :)
Answer:
Step-by-step explanation:
To do this, we must use the unit circle. At the angle
the coordinate pair is (
,
) and the hypotenuse is 1
Now that we know these we can start using the trig functions
sin = y
cos = x
tan = 
And the other functions would be the reciprocal of these
csc = 
sec = 
cot = 
This would mean that
sinx = 
cosx =
tanx =
or
if you're supposed to rationalize your denominators
cscx = 2
secx =
or 
cot = 
Answer:

Step-by-step explanation:
Let b be the number of balloons and h be number of party hats.
We have been given that balloons cost $0.50 each, so cost of b balloons will be 0.50b.
We are also told that party hats each cost $1.25, so cost of h party hats will be 1.25h.
Further, Joe wants to spend exactly $20 on the party supplies. We can represent this information in an equation as:

Therefore, the equation
represents the number of balloons ( b) and the number of party hats ( h) that Joe can buy spending exactly $20.
Answer:
44.55
Step-by-step explanation:
9 percent of 495