First of all, we can observe that
![x^2-6x+9 = (x-3)^2](https://tex.z-dn.net/?f=x%5E2-6x%2B9%20%3D%20%28x-3%29%5E2)
So the expression becomes
![\dfrac{x^2-4}{\sqrt{(x-3)^2}} = \dfrac{x^2-4}{|x-3|}](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%5E2-4%7D%7B%5Csqrt%7B%28x-3%29%5E2%7D%7D%20%3D%20%5Cdfrac%7Bx%5E2-4%7D%7B%7Cx-3%7C%7D)
This means that the expression is defined for every ![x\neq 3](https://tex.z-dn.net/?f=x%5Cneq%203)
Now, since the denominator is always positive (when it exists), the fraction can only be positive if the denominator is also positive: we must ask
![x^2-4 \geq 0 \iff x\leq -2 \lor x\geq 2](https://tex.z-dn.net/?f=x%5E2-4%20%5Cgeq%200%20%5Ciff%20x%5Cleq%20-2%20%5Clor%20x%5Cgeq%202)
Since we can't accept 3 as an answer, the actual solution set is
![(-\infty,-2] \cup [2,3) \cup (3,\infty)](https://tex.z-dn.net/?f=%28-%5Cinfty%2C-2%5D%20%5Ccup%20%5B2%2C3%29%20%5Ccup%20%283%2C%5Cinfty%29)
Answer:
Length = 12 feet
Perimeter = 28 feet
Area = 24ft²
Step-by-step explanation:
You didn't ask a question so I don't know what the answer you want is so I assumed it was related to one of the answers shown above.
To calculate the length, you simply do 6*2
which is equal to 12.
The length is 12 feet.
However, if you want to find the perimeter:
12 + 12 + 2+ 2 = 28ft
If you wanted to find the area:
12*2 = 24ft²
I hope this helps!
Answer:
Use the cross technique if it’s name like that in English but , I wish you can understand it from what I‘ve written .
Answer:
x=39 degrees
Step-by-step explanation:
28+33+x=100
61+x=100
Answer:
1/3
Step-by-step explanation:
F = 36
G = 4
We know that The area is multiplied by the scale factor squared
F * (SF) ^2 = G
36 (SF) ^2 = 4
Divide each side by 36
36/36 (SF) ^2 = 4/36
(SF) ^2 = 1/9
Take the square root of each side
sqrt((SF)^2) = sqrt(1/9)
SF = 1/3
The scale factor is 1/3