Answer:3: If a linear system has the same number of equations and variables, then it must have a unique solution.
Step-by-step explanation:just this which correct
Answer:
AC 5
AB = 3
Step-by-step explanation:
AC = distance between the points
C-A = 3 - -2 = 3+2 = 5
The distance is 5
AB = distance between the points
B-A = 1 - -2 = 1+2 = 3
The distance is 3
Iit is the first choice where it says the side length of the white square is b -a....
Answer:
Both of them are Non-Proportional since none are touching 0. I'm not sure if you're looking for Proportionality.
![\left(\dfrac{9a^{-4}}{25}\right)^p=\dfrac3{5a^2}](https://tex.z-dn.net/?f=%5Cleft%28%5Cdfrac%7B9a%5E%7B-4%7D%7D%7B25%7D%5Cright%29%5Ep%3D%5Cdfrac3%7B5a%5E2%7D)
![\left(\dfrac9{25a^4}\right)^p=\dfrac3{5a^2}](https://tex.z-dn.net/?f=%5Cleft%28%5Cdfrac9%7B25a%5E4%7D%5Cright%29%5Ep%3D%5Cdfrac3%7B5a%5E2%7D)
One way to find
![p](https://tex.z-dn.net/?f=p)
is to notice that the part on the left hand side within the parentheses can be written as a square:
![\dfrac9{25a^4}=\dfrac{3^2}{5^2(a^2)^2}=\left(\dfrac3{5a^2}\right)^2](https://tex.z-dn.net/?f=%5Cdfrac9%7B25a%5E4%7D%3D%5Cdfrac%7B3%5E2%7D%7B5%5E2%28a%5E2%29%5E2%7D%3D%5Cleft%28%5Cdfrac3%7B5a%5E2%7D%5Cright%29%5E2)
So you could write
![\left(\left(\dfrac3{5a^2}\right)^2\right)^p=\left(\dfrac3{5a^2}\right)^{2p}=\dfrac3{5a^2}](https://tex.z-dn.net/?f=%5Cleft%28%5Cleft%28%5Cdfrac3%7B5a%5E2%7D%5Cright%29%5E2%5Cright%29%5Ep%3D%5Cleft%28%5Cdfrac3%7B5a%5E2%7D%5Cright%29%5E%7B2p%7D%3D%5Cdfrac3%7B5a%5E2%7D)
Since these two expressions are equal, and the bases are the same, you know the exponents must be equal, with the exponent on the right hand side being 1. So
![2p=1](https://tex.z-dn.net/?f=2p%3D1)
, or
![p=\dfrac12](https://tex.z-dn.net/?f=p%3D%5Cdfrac12)
.