Answer:
Step-by-step explanation:
![y=f(x)=\dfrac 19 x +2\\\\\text{Replace x with y and then solve for y,}\\\\~~~~~~~x = \dfrac 19 y+2\\\\\implies 9x =y + 18~~~~~~~~~~~~~~~;[\text{Multiply both sides by 9}]\\ \\\implies y = 9x -18\\\\\implies f^{-1}(x) = 9x -18\\\\\text{Hence, the inverse of the given function is}~ f^{-1}(x) = 9x -18.](https://tex.z-dn.net/?f=y%3Df%28x%29%3D%5Cdfrac%2019%20x%20%2B2%5C%5C%5C%5C%5Ctext%7BReplace%20x%20with%20y%20and%20then%20solve%20for%20y%2C%7D%5C%5C%5C%5C~~~~~~~x%20%3D%20%5Cdfrac%2019%20y%2B2%5C%5C%5C%5C%5Cimplies%209x%20%3Dy%20%2B%2018~~~~~~~~~~~~~~~%3B%5B%5Ctext%7BMultiply%20both%20sides%20by%209%7D%5D%5C%5C%20%5C%5C%5Cimplies%20y%20%3D%209x%20-18%5C%5C%5C%5C%5Cimplies%20f%5E%7B-1%7D%28x%29%20%3D%209x%20-18%5C%5C%5C%5C%5Ctext%7BHence%2C%20the%20inverse%20of%20the%20given%20function%20is%7D~%20%20f%5E%7B-1%7D%28x%29%20%3D%209x%20-18.)
You can apply the Pythagorean theorem:
a^2 + b^2 = c^2
c is the longest side of the triangle
2.2^2 + 4.2^2 = 6.7^2
4.84 + 17.64 = 44.89
22.48 =/= 44.89
That is not a right triangle
D= 25- 4*2*-9=97
X= -b+√D/2a OR -b-√D/2a
X= 5+√97/4 OR 5-√97/4
Answer:13/24
Step-by-step explanation:
