Answer:
Neither.
Step-by-step explanation:
The slope for the first one is 1/4 and the slope for the second one is 4. These are reciprocals, but not opposite reciprocals, meaning they are not perpendicular. An opposite reciprocal means the fraction is flipped (ex. 3/1 to 1/3) and the sign is changed. The line parallel to y=1/4x would be y= -4x.
Answer:
The correct answer is E.) Human resistance to change
I hope I helped! ^-^
Answer:
36 in because the radius×2=diameter
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
The volume of Model A is 48 cm³. The volume of Model B is 40 cm³. 48+40=88.
Answer:
IS NOT; ARE NOT
Step-by-step explanation:
Given: ![\[ \begin{bmatrix} \frac{1}{4} & \frac{1}{4}\\ \\-1 & \frac{-1}{2} \end{bmatrix}\]](https://tex.z-dn.net/?f=%5C%5B%20%20%5Cbegin%7Bbmatrix%7D%20%20%20%20%5Cfrac%7B1%7D%7B4%7D%20%26%20%5Cfrac%7B1%7D%7B4%7D%5C%5C%20%20%20%20%5C%5C-1%20%26%20%5Cfrac%7B-1%7D%7B2%7D%20%5Cend%7Bbmatrix%7D%5C%5D)
and ![\[A = \begin{bmatrix} \frac{1}{4} & \frac{1}{4} \\\\ -1 & \frac{-1}{2} \end{bmatrix}\]](https://tex.z-dn.net/?f=%5C%5BA%20%3D%20%20%5Cbegin%7Bbmatrix%7D%20%20%20%20%5Cfrac%7B1%7D%7B4%7D%20%26%20%5Cfrac%7B1%7D%7B4%7D%20%5C%5C%5C%5C%20%20%20%20-1%20%26%20%5Cfrac%7B-1%7D%7B2%7D%20%20%5Cend%7Bbmatrix%7D%5C%5D)
We say two matrices 
and 
are inverses of each other when 
where 
is the identity matrix.
![\[I = \begin{bmatrix} 1 & 0\\ 0 & 1 \end{bmatrix}\]](https://tex.z-dn.net/?f=%5C%5BI%20%3D%20%20%5Cbegin%7Bbmatrix%7D%20%20%20%201%20%26%200%5C%5C%20%20%20%200%20%26%201%20%20%5Cend%7Bbmatrix%7D%5C%5D)
So, for 
and to be inverses of each other, we should have 
.
Let us calculate 
.
![\[\begin{bmatrix} -2 & -1 \\ 8 & 2 \end{bmatrix}\]](https://tex.z-dn.net/?f=%5C%5B%5Cbegin%7Bbmatrix%7D%20-2%20%26%20-1%20%5C%5C%208%20%26%202%20%5Cend%7Bbmatrix%7D%5C%5D)
![\[\begin{bmatrix} \frac{1}{4} & \frac{1}{4} \\\\ -1 & \frac{-1}{2}\end{bmatrix}\]](https://tex.z-dn.net/?f=%5C%5B%5Cbegin%7Bbmatrix%7D%20%5Cfrac%7B1%7D%7B4%7D%20%26%20%5Cfrac%7B1%7D%7B4%7D%20%5C%5C%5C%5C%20-1%20%26%20%5Cfrac%7B-1%7D%7B2%7D%5Cend%7Bbmatrix%7D%5C%5D)
![\[\begin{bmatrix}\frac{1}{2} & 0 \\0 & 0 \end{bmatrix}\]](https://tex.z-dn.net/?f=%5C%5B%5Cbegin%7Bbmatrix%7D%5Cfrac%7B1%7D%7B2%7D%20%26%200%20%5C%5C0%20%26%200%20%5Cend%7Bbmatrix%7D%5C%5D)
This is clearly not equal to the identity matrix. So we conclude that the matrices are not inverses of each other.
