Create a list of steps, in order, that will solve the following equation.1/2(x+5)^2+2=42.5

Step-by-step explanation:

1.  Eliminate fractions by multiplying all terms by 2:

    1/2(x+5)^2+2=42.5 = > (x + 5)^2 + 4 = 85

2.  Subtract 4 from both sides  =>  (x + 5)^2 = 81

3.  Take the square root of both sides, remembering to use the " ± " sign on the right side:                               x + 5 = ±√81  =  ± 9

4.  Write out the solutions.  The first stems from x + 5 + 9 and is x = 4.  The second stems from x + 5 = -9 and is x = -14.  x:  {-14, 4}

Implicit differntiation, yeah
remember
the deritivive of f(x)/g(x)=(f'(x)g(x)-g'(x)f(x))/(g(x)^2)

so

2x+2y(dy/dx)=0
minus 2x
2y(dy/dx)=-2x
divide both sides by 2y
dy/dx=-x/y

take derivitve again
(-x'y-y'x)/(y^2)
remember, y'=dy/dx=-x/y
(-y-(-x/y)x)/(y^2)
at (4,3)
at x=4 and y=3
(-3-(-4/3)4)/(3^2)=
(-3+16/3)/9=
(-9/3+16/3)/9=
(7/3)/9=
7/27
the value is 7/27
it is concave up at that point btw