Answer:
Step-by-step explanation:
Given a curve defined by the function 2x²+3y²−4xy=36
The total differential of this function with respect to a variable x makes the function an implicit function because it contains two variables.
Differentiating both sides of the equation with respect to x we have:
4x+6ydy/dx-(4xd(y)/dx+{d(4x)/dx(y))} = 0
4x + 6ydy/dx -(4xdy/dx +4y) = 0
4x + 6ydy/dx - 4xdy/dx -4y = 0
Collecting like terms
4x-4y+6ydy/dx - 4xdy/dx = 0
4x-4y+(6y-4x)dy/dx = 0
4x-4y = -(6y-4x)dy/dx
4y-4x = (6y-4x)dy/dx
dy/dx = (4y-4x)/6y-4x
dy/dx = 2(2y-2x)/2(3y-2x)
dy/dx = 2y-2x/3y-2x proved!
Answer:
-2 C is cooler cause - in the C makes it cooler (sorry if im bad this is my 1st time)
Step-by-step explanation:
Obtuse triangle if that’s what you’re asking
10% * $230.00 = $23.00
The discount is $23.00.
_____
Of course, you know that 10% expressed as a decimal is 0.10. Many calculators will calculate percentages directly. If yours doesn't, you can use the decimal equivalent. If you recognize that multiplying by 1/10 simply shifts the decimal point to the left one place, you can do the arithmetic in your head.
Answer: 3x + 5 = 57.50
Step-by-step explanation:
Assume that the price of one video game is x. Jamie bought 3 video games so the expression will be:
= 3x
His sister talked him into buying two $1.50 candy bars and a $2.00 drink. The total of this is:
= 1.50 + 1.50 + 2.00
= $5.00
The total amount spent on both the video game and the snacks is $57.50. Equation will therefore be:
3x + 5 = 57.50
