Answer:
the answer is (0, 0) trust me
Angle A, B, and C add to 180.
Angle C = 180-(44+62)
Angle C = 74 degrees
Angle C and Angle D are vertical angles so Angle D = 74 degrees.
Angle D, E, and F add to 180.
Angle F = 180 - 50 - 74
The standard form using integers is x + 3y = 0
<em><u>Solution:</u></em>
Given that we have to write the given equation in standard form
The standard form of an equation is Ax + By = C
In this kind of equation, x and y are variables and A, B, and C are integers
Let us convert the given equation to standard form
Given equation is:
![\rightarrow y - 2 = -\frac{1}{3}(x + 6)](https://tex.z-dn.net/?f=%5Crightarrow%20y%20-%202%20%3D%20-%5Cfrac%7B1%7D%7B3%7D%28x%20%2B%206%29)
Multiply the terms inside bracket with constant outside the bracket in right hand side of equation
![\rightarrow y - 2 =( \frac{-1}{3} \times x )+ (\frac{-1}{3} \times 6)\\\\\rightarrow y - 2 = \frac{-x}{3}-2](https://tex.z-dn.net/?f=%5Crightarrow%20y%20-%202%20%3D%28%20%5Cfrac%7B-1%7D%7B3%7D%20%5Ctimes%20x%20%29%2B%20%28%5Cfrac%7B-1%7D%7B3%7D%20%5Ctimes%206%29%5C%5C%5C%5C%5Crightarrow%20y%20-%202%20%3D%20%5Cfrac%7B-x%7D%7B3%7D-2)
Simplify the right hand side of equation
![\rightarrow y - 2 = \frac{-x-6}{3}](https://tex.z-dn.net/?f=%5Crightarrow%20y%20-%202%20%3D%20%5Cfrac%7B-x-6%7D%7B3%7D)
Move the 3 from R.H.S to L.H.S
![\rightarrow 3(y-2) = -x-6\\\\\rightarrow 3y - 6 = -x - 6](https://tex.z-dn.net/?f=%5Crightarrow%203%28y-2%29%20%3D%20-x-6%5C%5C%5C%5C%5Crightarrow%203y%20-%206%20%3D%20-x%20-%206)
Move the terms from R.H.S to L.H.S
![\rightarrow x + 3y - 6 + 6 = 0\\\\\rightarrow x + 3y = 0](https://tex.z-dn.net/?f=%5Crightarrow%20x%20%2B%203y%20-%206%20%2B%206%20%3D%200%5C%5C%5C%5C%5Crightarrow%20x%20%2B%203y%20%3D%200)
Thus the standard form is found
Answer:
![f'''(x)=\frac{3}{x^{2}}](https://tex.z-dn.net/?f=f%27%27%27%28x%29%3D%5Cfrac%7B3%7D%7Bx%5E%7B2%7D%7D)
Step-by-step explanation:
We are given with Second-order derivative of function f(x).
![f''(x)=9-\frac{3}{x}](https://tex.z-dn.net/?f=f%27%27%28x%29%3D9-%5Cfrac%7B3%7D%7Bx%7D)
We need to find Third-order derivative of the function f(x).
![f''(x)=9-\frac{3}{x}=9-3x^{-1}](https://tex.z-dn.net/?f=f%27%27%28x%29%3D9-%5Cfrac%7B3%7D%7Bx%7D%3D9-3x%5E%7B-1%7D)
We know that,
f'''(x) = (f''(x))'
So,
![f'''(x)=\frac{\mathrm{d}\,f''(x)}{\mathrm{d} x}](https://tex.z-dn.net/?f=f%27%27%27%28x%29%3D%5Cfrac%7B%5Cmathrm%7Bd%7D%5C%2Cf%27%27%28x%29%7D%7B%5Cmathrm%7Bd%7D%20x%7D)
![f'''(x)=\frac{\mathrm{d}\,(9-3x^{-1})}{\mathrm{d} x}](https://tex.z-dn.net/?f=f%27%27%27%28x%29%3D%5Cfrac%7B%5Cmathrm%7Bd%7D%5C%2C%289-3x%5E%7B-1%7D%29%7D%7B%5Cmathrm%7Bd%7D%20x%7D)
![f'''(x)=\frac{\mathrm{d}\,9}{\mathrm{d} x}-\frac{\mathrm{d}\,3x^{-1}}{\mathrm{d} x}](https://tex.z-dn.net/?f=f%27%27%27%28x%29%3D%5Cfrac%7B%5Cmathrm%7Bd%7D%5C%2C9%7D%7B%5Cmathrm%7Bd%7D%20x%7D-%5Cfrac%7B%5Cmathrm%7Bd%7D%5C%2C3x%5E%7B-1%7D%7D%7B%5Cmathrm%7Bd%7D%20x%7D)
![f'''(x)=0-3\frac{\mathrm{d}\,x^{-1}}{\mathrm{d} x}](https://tex.z-dn.net/?f=f%27%27%27%28x%29%3D0-3%5Cfrac%7B%5Cmathrm%7Bd%7D%5C%2Cx%5E%7B-1%7D%7D%7B%5Cmathrm%7Bd%7D%20x%7D)
![f'''(x)=-3(-1)x^{-1-1}](https://tex.z-dn.net/?f=f%27%27%27%28x%29%3D-3%28-1%29x%5E%7B-1-1%7D)
![f'''(x)=3x^{-2}](https://tex.z-dn.net/?f=f%27%27%27%28x%29%3D3x%5E%7B-2%7D)
![f'''(x)=\frac{3}{x^{2}}](https://tex.z-dn.net/?f=f%27%27%27%28x%29%3D%5Cfrac%7B3%7D%7Bx%5E%7B2%7D%7D)
Therefore, ![f'''(x)=\frac{3}{x^{2}}](https://tex.z-dn.net/?f=f%27%27%27%28x%29%3D%5Cfrac%7B3%7D%7Bx%5E%7B2%7D%7D)
285.
Divide 9690 by 34 to find the unit number or cars inspected.