Answer:
![\left[\begin{array}{ccc}0&-1\\-1&-2\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%26-1%5C%5C-1%26-2%5C%5C%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
Thinking process:
We will need to test the different geometric transformations.
Let's see how this can be done:
Let the shear transformation be represented by the matrix S such that ![S(e_{2}) = e_{2} + 2e_{1}](https://tex.z-dn.net/?f=S%28e_%7B2%7D%29%20%3D%20e_%7B2%7D%20%2B%202e_%7B1%7D)
Then, let the image be reflected by the reflection R, such that:
R =
is reflected across the point ![x_{1} = x_{2}](https://tex.z-dn.net/?f=x_%7B1%7D%20%20%3D%20x_%7B2%7D)
then the vector will be = ![\left[\begin{array}{ccc}-1\\0\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-1%5C%5C0%5C%5C%5Cend%7Barray%7D%5Cright%5D)
This is the mirror image.
Then it means that
and ![R (e_{2}) = -e_{1}](https://tex.z-dn.net/?f=R%20%28e_%7B2%7D%29%20%3D%20-e_%7B1%7D)
Thus, the standard matrix is given by: ![\left[\begin{array}{ccc}0&-1\\-1&-2\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%26-1%5C%5C-1%26-2%5C%5C%5Cend%7Barray%7D%5Cright%5D)
Answer:
Solve using the substitution method! Answer down below:)
Step-by-step explanation:
(a,b,c) = ( -12, -27/2,43)
Hope it helps:)
Answer:
<em>97 square miles</em>
Step-by-step explanation:
Let us divide this figure into rectangles, each of set dimensions;
![Dimensions of Rectangle A - Height ; 2 mi, Length ; 9 mi\\Area of Rectangle A - Height * Length = 2 mi * 9 mi = 18 square miles,\\\\Dimensions of Rectangle B - Height ; 2 mi + 5 mi = 7 mi, Length ; 5 mi\\Area of Rectangle B - Height * Length = 7 mi * 5 mi = 35 square miles,\\\\Dimensions of Rectangle C - Height ; 4 mi + 5 mi + 2 mi = 11 mi, Length ; 4 mi,\\Area of Rectangle C - Height * Length = 11 mi * 4 mi = 44 square miles,\\\\Area of Figure = 18 + 35 + 44 = 97 square miles](https://tex.z-dn.net/?f=Dimensions%20of%20Rectangle%20A%20-%20Height%20%3B%202%20mi%2C%20Length%20%3B%209%20mi%5C%5CArea%20of%20Rectangle%20A%20-%20Height%20%2A%20Length%20%3D%202%20mi%20%2A%209%20mi%20%3D%2018%20square%20miles%2C%5C%5C%5C%5CDimensions%20of%20Rectangle%20B%20-%20Height%20%3B%202%20mi%20%2B%205%20mi%20%3D%207%20mi%2C%20Length%20%3B%205%20mi%5C%5CArea%20of%20Rectangle%20B%20-%20Height%20%2A%20Length%20%3D%207%20mi%20%2A%205%20mi%20%3D%2035%20square%20miles%2C%5C%5C%5C%5CDimensions%20of%20Rectangle%20C%20-%20Height%20%3B%204%20mi%20%2B%205%20mi%20%2B%202%20mi%20%3D%2011%20mi%2C%20Length%20%3B%204%20mi%2C%5C%5CArea%20of%20Rectangle%20C%20-%20Height%20%2A%20Length%20%3D%2011%20mi%20%2A%204%20mi%20%3D%2044%20square%20miles%2C%5C%5C%5C%5CArea%20of%20Figure%20%3D%2018%20%2B%2035%20%2B%2044%20%3D%2097%20square%20miles)
<em>Solution; 97 square miles</em>
Answer:
A. True
Step-by-step explanation:
Polynomials consist of at least 2 or more terms.
In this case, Binomial's bi- means "2", which allows for Binomial to fall under the category of Polynomials.
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