One, the intersection point is (1,1)
A percent is a number out of 100, so you'd want to multiply the denominator to get 100. In this case, 25 would have to be multiplied by 4 to get 100. To keep the fractions equal to each other, you have to multiply the numerator by the same thing. 2*4=8. Therefore, your fraction would be 8/100 or 8%
Find the equation of the inverse.
![y = {2}^{x + 5} - 6](https://tex.z-dn.net/?f=y%20%3D%20%20%7B2%7D%5E%7Bx%20%2B%205%7D%20%20-%206)
we have
![y=\mleft\{2\mright\}^{\mleft\{x+5\mright\}}-6](https://tex.z-dn.net/?f=y%3D%5Cmleft%5C%7B2%5Cmright%5C%7D%5E%7B%5Cmleft%5C%7Bx%2B5%5Cmright%5C%7D%7D-6)
step 1
Exchange the variables
x for y and y for x
![x=\{2\}^{\{y+5\}}-6](https://tex.z-dn.net/?f=x%3D%5C%7B2%5C%7D%5E%7B%5C%7By%2B5%5C%7D%7D-6)
step 2
Isolate the variable y
![(x+6)=2^{(y+5)}](https://tex.z-dn.net/?f=%28x%2B6%29%3D2%5E%7B%28y%2B5%29%7D)
apply log both sides
![\begin{gathered} \log (x+6)=(y+5)\cdot\log (2) \\ y+5=\frac{\log (x+6)}{\log (2)} \\ \\ y=\frac{\log(x+6)}{\log(2)}-5 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Clog%20%28x%2B6%29%3D%28y%2B5%29%5Ccdot%5Clog%20%282%29%20%5C%5C%20y%2B5%3D%5Cfrac%7B%5Clog%20%28x%2B6%29%7D%7B%5Clog%20%282%29%7D%20%5C%5C%20%20%5C%5C%20y%3D%5Cfrac%7B%5Clog%28x%2B6%29%7D%7B%5Clog%282%29%7D-5%20%5Cend%7Bgathered%7D)
step 3
Let
![f^{(-1)}(x)=y](https://tex.z-dn.net/?f=f%5E%7B%28-1%29%7D%28x%29%3Dy)
therefore
the inverse function is
Answer:
Step-by-step explanation:
= (x^2 + h^2 - 2xh) + (y^2 + k^2 - 2yk) As, (a-b)^2 = a^2 + b^2 - 2ab
= x^2 + h^2 - 2xh + y^2 + k^2 - 2yk