C) None of the above
The transformation is not a reflection because the image is not an exact reflection. It is a little bit tilted.
The transformation is not a rotation because the image is not in the same place as the original.
The transformation is not a translation because the image was altered in some way, by being tilted.
The degree of the resulting polynomial, 5x^4^y² - x^3y - 12y + 8x, after subtraction is: degree 4.
<h3>How to Subtract Polynomials?</h3>
Given, (10x^4y^2 - 9x^3y - 9y) - (5x^4^y2 + 10x^3y + 12y - 8x), to subtract, open the parentheses using the distributive property.
10x^4y^2 - 9x^3y - 9y - 5x^4^y² - 10x^3y - 12y + 8x
Combine like terms together
10x^4y^2 - 5x^4^y² - 9x^3y - 10x^3y - 9y - 12y + 8x
5x^4^y² - x^3y - 12y + 8x
The highest degree is 4. This determines the degree of a polynomial.
Therefore, the degree of the resulting polynomial, 5x^4^y² - x^3y - 12y + 8x, after subtraction is: degree 4.
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Given equation is 7y+2=3x-5. Now we have to find which of the given point doesn't lies on the given line 7y+2=3x-5.
To find that we will just plug the given point and check if that point satisfies the given equation or not.
Check for (2,-1/7)
Plug it into 7y+2=3x-5.
7(-1/7)+2=3(2)-5
-1+2=6-5
1=1
Which is true hence this point lies on the given line 7y+2=3x-5.
Check for (3,-2/7)
Plug it into 7y+2=3x-5.
7(-2/7)+2=3(3)-5
-2+2=09-5
1=4
Which is False hence this point doesn't lies on the given line 7y+2=3x-5.
Check for (0,-1)
Plug it into 7y+2=3x-5.
7(-1)+2=3(0)-5
-7+2=0-5
-5=-5
Which is true hence this point lies on the given line 7y+2=3x-5.
Check for (1,-4/7)
Plug it into 7y+2=3x-5.
7(-4/7)+2=3(1)-5
-4+2=3-5
-2=-2
Which is true hence this point lies on the given line 7y+2=3x-5.
Check for (-1,-10/7)
Plug it into 7y+2=3x-5.
7(-10/7)+2=3(-1)-5
-10+2=-3-5
-8=-8
Which is true hence this point lies on the given line 7y+2=3x-5.
Hence final answer is (3,-2/7).
The answer would be 2x-9. If you need help to see how to work it out, let me know