Answer:
Cash is increased by $ 200 , and Notes Receivable is also increased by $ 375
Revenue Earned is also increased By $ 575.
Step-by-step explanation:
We make a journal entry
Cash $200 Debit
Notes Receivable $ 375 Debit
Services Revenue Earned $ 575 Credit
In the balance sheet the Cash is increased by $ 200 , and Notes Receivable is also increased by $ 375 on the Assets sides.
On the Liabilities side in the Owner's Equity section Revenue Earned is also increased By $ 575.
Increasing both sides ( Assets and Liabilities sections) with equal amounts will have no effect on the Balance Sheet .
Opposite angles are equal so the equation is
x + 71 = 108 (A)
You do the implcit differentation, then solve for y' and check where this is defined.
In your case: Differentiate implicitly: 2xy + x²y' - y² - x*2yy' = 0
Solve for y': y'(x²-2xy) +2xy - y² = 0
y' = (2xy-y²) / (x²-2xy)
Check where defined: y' is not defined if the denominator becomes zero, i.e.
x² - 2xy = 0 x(x - 2y) = 0
This has formal solutions x=0 and y=x/2. Now we check whether these values are possible for the initially given definition of y:
0^2*y - 0*y^2 =? 4 0 =? 4
This is impossible, hence the function is not defined for 0, and we can disregard this.
x^2*(x/2) - x(x/2)^2 =? 4 x^3/2 - x^3/4 = 4 x^3/4 = 4 x^3=16 x^3 = 16 x = cubicroot(16)
This is a possible value for y, so we have a point where y is defined, but not y'.
The solution to all of it is hence D - { cubicroot(16) }, where D is the domain of y (which nobody has asked for in this example :-).
(Actually, the check whether 0 is in D is superfluous: If you write as solution D - { 0, cubicroot(16) }, this is also correct - only it so happens that 0 is not in D, so the set difference cannot take it out of there ...).
If someone asks for that D, you have to solve the definition for y and find that domain - I don't know of any [general] way to find the domain without solving for the explicit function).
Answer:
y = -4x-6
Step-by-step explanation:
point slope form
y-y1 = m(x-x1)
y--6 = -4 (x-0)
y+6 = -4(x)
solve for y
subtract 6 from each side
y = -4x-6
