If y=mx+b,
You can't differentiate a constant, so dy/dx=m.
Answer: {x,y}={-1,2}
step-by-step explanation:
// Solve equation [2] for the variable x
[2] 2x = 5y - 12
[2] x = 5y/2 - 6
// Plug this in for variable x in equation [1]
[1] 2•(5y/2-6) + 3y = 4
[1] 8y = 16
// Solve equation [1] for the variable y
[1] 8y = 16
[1] y = 2
// By now we know this much :
x = 5y/2-6
y = 2
// Use the y value to solve for x
x = (5/2)(2)-6 = -1
Solution :
{x,y} = {-1,2}
Answer: 2xy
Step-by-step explanation: We know that x%5E2+%2B+y%5E2 must be the longest side of the triangle (it cannot be 2xy, I will demonstrate why afterwards). By the Pythagorean theorem,
. Therefore this is a right triangle.
The only "assumption" we had to make was that x%5E2+%2B+y%5E2+%3E+2xy, but this is easy to prove. By the AM-GM inequality, %28x%5E2+%2B+y%5E2%29%2F2+%3E=+sqrt%28x%5E2y%5E2%29+=+xy. Multiplying both sides by 2, x%5E2+%2B+y%5E2+%3E=+2xy. Equality occurs only when x+=+y, but this cannot be true, so x%5E2+%2B+y%5E2 is strictly greater than 2xy.
Answer:
7.. option a is right
............................ .. sorry mate I also so busy so that. I can't all ur questions
