Answer:
![m=\frac{2A-kn}{k}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B2A-kn%7D%7Bk%7D)
Hence, option C is true.
Step-by-step explanation:
Given the expression
![A=\frac{k}{2}\left(m+n\right)](https://tex.z-dn.net/?f=A%3D%5Cfrac%7Bk%7D%7B2%7D%5Cleft%28m%2Bn%5Cright%29)
Solving for 'm'
![A=\frac{k}{2}\left(m+n\right)](https://tex.z-dn.net/?f=A%3D%5Cfrac%7Bk%7D%7B2%7D%5Cleft%28m%2Bn%5Cright%29)
Flip the equation
![\frac{k}{2}\left(m+n\right)=A](https://tex.z-dn.net/?f=%5Cfrac%7Bk%7D%7B2%7D%5Cleft%28m%2Bn%5Cright%29%3DA)
Expanding by applying the distributive law: ![a\left(b+c\right)=ab+ac](https://tex.z-dn.net/?f=a%5Cleft%28b%2Bc%5Cright%29%3Dab%2Bac)
![\frac{1}{2}km+\frac{1}{2}kn=A](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7Dkm%2B%5Cfrac%7B1%7D%7B2%7Dkn%3DA)
Add (-1)/2 × kn to both sides
![\frac{1}{2}km+\frac{1}{2}kn+\left(-\frac{1}{2}kn\right)=\left(-\frac{1}{2}kn\right)+A](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7Dkm%2B%5Cfrac%7B1%7D%7B2%7Dkn%2B%5Cleft%28-%5Cfrac%7B1%7D%7B2%7Dkn%5Cright%29%3D%5Cleft%28-%5Cfrac%7B1%7D%7B2%7Dkn%5Cright%29%2BA)
simplify
![\frac{1}{2}km=-\frac{1}{2}kn+A](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7Dkm%3D-%5Cfrac%7B1%7D%7B2%7Dkn%2BA)
Divide both sides by k/2
![\frac{\frac{1}{2}km}{\frac{k}{2}}=\frac{-\frac{1}{2}kn+A}{\frac{k}{2}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7B1%7D%7B2%7Dkm%7D%7B%5Cfrac%7Bk%7D%7B2%7D%7D%3D%5Cfrac%7B-%5Cfrac%7B1%7D%7B2%7Dkn%2BA%7D%7B%5Cfrac%7Bk%7D%7B2%7D%7D)
![m=\frac{2A-kn}{k}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B2A-kn%7D%7Bk%7D)
Therefore,
![m=\frac{2A-kn}{k}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B2A-kn%7D%7Bk%7D)
Hence, option C is true.
Y = -4/5 x - 2
-9 = -4/5 x - 2
-4/5 x = -9 + 2 = -7
-4x = 5(-7) = -35
x = -35/-4 = 35/4
Answer:
It is the distance that - 5 is from 0 on the number line.
Step-by-step explanation:
We have to select a statement that is true about the value of StartAbsoluteValue negative 5 EndAbsoluteValue i.e. |- 5|
Definition of the absolute value function is given by, |x| = x for, x ≥ 0 and |x| = - x for x < 0.
Now, an absolute value function gives the positive value of any value in the function i.e. |- 5| = 5.
Therefore, it is the distance that - 5 is from 0 on the number line. (Answer)
1 unit to the left of -1 on the number line is -2.
Thus, 7 units to the left of -1 is -8.
The appropriate choice is ...
... c. -8
Answer:
y=-6 that would be it. remember slope is rise over run