Answer:
n = 2
Step-by-step explanation:
In order for the ratio to have a value of 1, the sum of exponents in the numerator must equal the sum of exponents in the denominator:
n + 7 = 9
n = 9 -7 . . . . . . subtract 7 from both sides of the equation
n = 2
___
Alternatively, you can simplify the given expression:
![\dfrac{9^n(9^7)}{9^9}=1=\dfrac{9^n}{9^2}](https://tex.z-dn.net/?f=%5Cdfrac%7B9%5En%289%5E7%29%7D%7B9%5E9%7D%3D1%3D%5Cdfrac%7B9%5En%7D%7B9%5E2%7D)
Hopefully, it is clear to you that the value of n must be 2 in order to make the numerator equal to the denominator.
It would be 9 inches squared, hope this helps!
Answer:
x=1
y=2
z=-1
Step-by-step explanation:
Add the first two equations: (this will be equation 4)
![3y - z = 7](https://tex.z-dn.net/?f=3y%20-%20z%20%3D%207)
Multiply the first equation by 2:
![2x + 2y - 4z = 10](https://tex.z-dn.net/?f=2x%20%2B%202y%20-%204z%20%3D%2010)
Take the third equation and subtract the above equation.
![y + 3z = - 1](https://tex.z-dn.net/?f=y%20%2B%203z%20%3D%20%20-%201)
Multiply that by 3:
![3y + 9z = - 3](https://tex.z-dn.net/?f=3y%20%2B%209z%20%3D%20%20-%203)
Subtract equation 4:
![10z = - 10](https://tex.z-dn.net/?f=10z%20%3D%20%20-%2010)
![z = - 1](https://tex.z-dn.net/?f=z%20%3D%20%20-%201)
For y+3z=-1, plug in values:
![y + 3( - 1) = - 1](https://tex.z-dn.net/?f=y%20%2B%203%28%20-%201%29%20%3D%20-%201)
![y - 3 = - 1](https://tex.z-dn.net/?f=y%20-%203%20%3D%20%20-%201)
![y = 2](https://tex.z-dn.net/?f=y%20%3D%202)
Plug in y and z values in first equation:
![x + 2 - 2( - 1) = 5](https://tex.z-dn.net/?f=x%20%2B%202%20-%202%28%20-%201%29%20%3D%205)
![x + 2 + 2 = 5](https://tex.z-dn.net/?f=x%20%2B%202%20%2B%202%20%3D%205)
![x = 1](https://tex.z-dn.net/?f=x%20%3D%201)
Answer:
6.57 and1.11 is the answer to the question