When competing the square, you want to have

at the end, and using the fact that the x term and coefficient are really

, we see that the third option is the most efficient way to start
Answer:

Step-by-step explanation:
Just because before y there is negative "-" thus youve got to put it before 18. Eventually the answer is -18,not 22
Answer:
The answer is cscx(cscx - 1) ⇒ the second answer
Step-by-step explanation:
∵ csc²x = cot²x + 1
∴ 
Multiply the fraction by its conjugate 1 - sinx (up and down)
∴ 
∵ 1 - sin²x = cox²x
∴ 
∵ cot²x = cos²x/sin²x
∴ 
Take cscx as a common factor
∴ cscx(cscx - 1)
Formula for markup
sales price = original price × ( 1 + rate )
So in this case it would be...
sp = $32 × ( 1 + .80 )
$32 × ( 1.80 )
sp = $57.60
formula for discount ( if you need it )
sales price = original price × ( 1 - rate )
Just remember that the rate is the percentage ( to convert to a percentage to a decimal just move the decimal two places to the left )
Answer:
1.07 X 10^5
Step-by-step explanation: