Answer
$$-9$$
Work Step by Step
We have $\frac{5+2|y-x|}{x+6y}$ where $x=9$ and $y=-2$
Substituting $$\frac{5+2|-2-9|}{9+6(-2)}$$
Solving $$\frac{5+2|-11|}{9-12}$$ $$\frac{5+2(11)}{-3}$$ $$\frac{27}{-3} = -9$$
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