X² - 4x + y² - 8y = 5
Complete the square:
x² - 4x + (4) + y² - 8y + (16) = 5 + (4) + (16)
→ (x - 2)² + (y - 4)² = 25
Center: (2,4)
radius: √25 = 5
Answer:
The square of a monomial is 
Step-by-step explanation:
Consider the provided monomial.
We need to Write the expression as a square of a monomial.
The above expression can be written as:
Hence, the square of a monomial is
4s+7a=861
s+a=168
This can be solved using either elimination or substitution. I am going to use substitution.
Solve s+a=168 for s
s=168-a
Replace 168-a for s in 4s+7a=861
4(168-a)+7a=861
672-4a+7a=861
Solve for a
672+3a=861
3a=189
a=63
Substitute 63 for a in s=168-a
s=168-63=105
So, s=105 student tickets and a=63 adult tickets
The sum of the polynomials will be:
(6s^2t-2st^2)+(4s^2t-3st^2)
=(6s^2t+4s^2t)+(-2st^2-3st^2)
=10s^2t-5st^2
Thus the answer is:10s^2t-5st^2
