Answer:
93°
Step-by-step explanation:
By exterior angle theorem:
(4x + 9)° = 2x° + (3x - 12)°
(4x + 9)° = (2x + 3x - 12)°
(4x + 9)° = (5x - 12)°
4x + 9 = 5x - 12
4x - 5x = - 12 - 9
-x = - 21
x = 21
Measure of exterior angle
= (4x + 9)°
= (4*21 + 9)°
= (84 + 9)°
= 93°
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!
Reverse the sign of each term you are subtracting and then add as usual. Hope this helps!
Fifteen thousand six-hundred and thirty-eight
