Answer:
see attached
Step-by-step explanation:
GeoGebra conveniently computes the point coordinates of the reflected points. In the attached, the reflections are done in the order listed in the table, so A' is reflected across x; A'₁ is reflected across y; A'₂ is reflected across y=x, and A'₃ is reflected across y=-x. The same notation is used for the other points. The values are listed in order, so you can copy them down the column in your table.
Well.. for the equation x= 3.5, let's take a look at its values
![\bf \begin{array}{lrlll} x&y\\ \textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\\ 3.5&-\infty\\ 3.5&-1,000,000\\ 3.5&-1,000\\ 3.5&-100\\ 3.5&-10\\ 3.5&-1\\ 3.5&0\\ 3.5&1\\ 3.5&10\\ 3.5&100\\ 3.5&1,000\\ 3.5&1,000,000\\ 3.5&1+\infty \end{array}](https://tex.z-dn.net/?f=%5Cbf%20%5Cbegin%7Barray%7D%7Blrlll%7D%0Ax%26y%5C%5C%0A%5Ctextendash%5Ctextendash%5Ctextendash%5Ctextendash%5Ctextendash%5Ctextendash%26%5Ctextendash%5Ctextendash%5Ctextendash%5Ctextendash%5Ctextendash%5Ctextendash%5C%5C%0A3.5%26-%5Cinfty%5C%5C%0A3.5%26-1%2C000%2C000%5C%5C%0A3.5%26-1%2C000%5C%5C%0A3.5%26-100%5C%5C%0A3.5%26-10%5C%5C%0A3.5%26-1%5C%5C%0A3.5%260%5C%5C%0A3.5%261%5C%5C%0A3.5%2610%5C%5C%0A3.5%26100%5C%5C%0A3.5%261%2C000%5C%5C%0A3.5%261%2C000%2C000%5C%5C%0A3.5%261%2B%5Cinfty%0A%5Cend%7Barray%7D)
so.. notice.. no matter what "y" is, "x" will always be 3.5,
so is really just a horizontal line, thus, look at the picture below
The location of K(1,-3) after dilated by a scale factor of 1 is K’(1,-3) also
2(b + 6) - 7 <= -3b - 30
Let's distribute the 2.
2b + 12 - 7 <= -3b - 30
Combine like terms.
2b + 5 <= -3b - 30
Subtract 2b from both sides and add 30 to both sides.
35 <= -5b
Divide both sides by -5.
-7 >= b
We had to flip the sign because we divided by a negative number.
This means that b <= -7. D is correct.
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