<h3>
Answer:</h3>
(x, y) = (7, -5)
<h3>
Step-by-step explanation:</h3>
It generally works well to follow directions.
The matrix of coefficients is ...
![\left[\begin{array}{cc}2&4\\-5&3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D2%264%5C%5C-5%263%5Cend%7Barray%7D%5Cright%5D)
Its inverse is the transpose of the cofactor matrix, divided by the determinant. That is ...
![\dfrac{1}{26}\left[\begin{array}{ccc}3&-4\\5&2\end{array}\right]](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B26%7D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%26-4%5C%5C5%262%5Cend%7Barray%7D%5Cright%5D)
So the solution is the product of this and the vector of constants [-6, -50]. That product is ...
... x = (3·(-6) +(-4)(-50))/26 = 7
... y = (5·(-6) +2·(-50))/26 = -5
The solution using inverse matrices is ...
... (x, y) = (7, -5)
Let’s find 1% of the markup first.
20 x 0.01 = $0.20
$0.20 x 8 = $1.60 markup.
$20 + $1.60 = $21.60 total.
Adrianna made $21.60 total, including markup.
Hope that helped! :)
Answer:
B
Step-by-step explanation:
The given equations satisfy the given conditions. There are 2 equations and 2 unknowns, so a certain solution can be found.
This can be solved using substitution,
Substituting eqn 2 to eqn 1:
2(2y – 10) + 3y =1240
Simplifying,
y = 180
x = 350
Answer: 3
Step-by-step explanation:
The 3D vector consists of 3 axes, let's say x, y and z.
Now, a vector P lies in all of them.
So, the angle it makes with x axis is α
The angle it makes with y axis is β
The angle it makes with z axis is γ
So, to determine the Cartesian components or to resolve the vector into it's Cartesian components we need 3 angles with each axis.
Answer:
the area of a circle is 
rsqr
32 x 32 =1024
Step-by-step explanation:
