Answer:
x=7
y =-1
Step-by-step explanation:
Given is a system of equations in x and y as
This can be written in matrix form as
Ax = B
![\left[\begin{array}{ccc}1&7\\2&-8\end{array}\right]\left[\begin{array}{ccc}x\\y\end{array}\right] =\left[\begin{array}{ccc}0\\22\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%267%5C%5C2%26-8%5Cend%7Barray%7D%5Cright%5D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx%5C%5Cy%5Cend%7Barray%7D%5Cright%5D%20%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%5C%5C22%5Cend%7Barray%7D%5Cright%5D)
Let us find inverse of A
![A^{-1} =\frac{-1}{22} *\left[\begin{array}{ccc}-8&-7\\-2&1\end{array}\right]](https://tex.z-dn.net/?f=A%5E%7B-1%7D%20%3D%5Cfrac%7B-1%7D%7B22%7D%20%2A%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-8%26-7%5C%5C-2%261%5Cend%7Barray%7D%5Cright%5D)
X= A ^(-1) B
x=7, y =-1
Answer:
exactly 2
Step-by-step explanation:
Prime numbers, the way I was taught to answer this question, has less than 2 factors. The reason is that 1 is considered a factor. However, I think the definition has changed and a prime has exactly two factors -- 1 and itself. 11 is a prime number: only 11 and 1 will divide into it.
The surface area of the rectangular prism is 427 mm². The correct option is the second option 427 mm²
<h3>Calculating surface area</h3>
From the question, we are to calculate the surface area of the rectangular prism
Surface area of a rectangular prism can be calculated by using the formula,
Surface area = 2(lw + lh + wh)
Where l is the length
w is the width
and h is the height
In the given diagram,
l = 21.5 mm
w = 4 mm
h = 5 mm
Putting the parameters into the equation, we get
Surface area = 2(21.5×4 + 21.5×5 + 4×5)
Surface area = 2(86 + 107.5 + 20)
Surface area = 2 × 213.5
Surface area = 427 mm²
Hence, the surface area of the rectangular prism is 427 mm². The correct option is the second option 427 mm²
Learn more on Surface area here: brainly.com/question/1310421
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Answer:
(4,2) and (2,-2)
Step-by-step explanation:
using m=y2-y1/x2-x1
m= -2-2/2-4=-4/-2
therefore,
m=2
Answer: a. ( 1, 6 )
Step-by-step explanation:
If you go into desmos and plot your function you can go to each of the points in your answers and see just where the point is touching the line
