xCorrosive

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Rather conveniently, from the first equation, we have $4x = 4y \rightarrow x = y$. 

Thus, we can plug this into the second equation to get $y = 2y+6$. Solving this equation gives us $\boxed{y = -6}$, which is our solution. 

From the graph, we can see that the line passes through the points $(0,-3)$ and $(-3,3)$. 

Standard form is $y = mx+b$, where $b$ is a constant and $m$ is the slope of the line. 

The slope of the line is given by $\frac{y_1-y_2}{x_1-x_2}$. Thus, the slope of this line is $\frac{-3-3}{0-(-3)} = -2$

Plugging a point into our new equation of $y = -2x + b$ gives $-3 = 0 + (-3)$, meaning $b = -3$. 

Thus, our final equation is $\boxed{y = -2x-3}$  

$2 \cdot \frac{1}{3} + 2 \cdot \frac{1}{4} + 1 \cdot \frac{1}{2} + 1 \cdot \frac{1}{4} = \frac{23}{12}$.

We take the remaining fraction of the paint in each jar and add them together, thus, our answer is $\boxed{\frac{23}{12}}$ 

Standard form is $y = mx+b$, where m is the slope and b is a constant. 

Slope is given by $\frac{y_1 - y_2}{x_1 - x_2}$. 

Thus, the slope of these points is $-\frac{2}{3}$. 

Plugging into our equation gives $y = -\frac{2}{3}x + b$. Plugging in a point (in this case I used $(-3,3)$), gives $3 = \frac{2}{3} \cdot -3 + b$. 

Thus, $b = 5$. As a result, our final equation is $y = -\frac{2}{3}x + 5$ 

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ignore this message. 

Both of the separate triangles in this figure are isosceles, as two of their sides are the same. 

Thus, we know that $\angle{ACD} = \angle{DAC} = 25$. 

From this, we know that $\angle{ADC} = 180 - 25 \cdot 2$, for the two other angles in the triangle. Thus, $\angle{ADC} = 130$. 

Because $\angle{ADB}$ and $\angle{ADC}$ are supplementary, we know that $\angle{ADB} = 180 - 130 = 50$. 

Finally, since $\triangle{ABD}$ is isosceles, we know that $\angle{ABC}$ is also $\boxed{50}$. 

See here:

https://web2.0calc.com/questions/in-isosceles-right-triangle-abc-point-d-is-on-hypotenuse

Because the triangle is isosceles we know that $\angle{ABC} = 45$ ($\frac{180-90}{2}$)

Because it trisects angle $ABC$, we know that $\angle{EBA} = 15$. Thus, we subtract $180 - 15 - 90 = 75$, because $EAB$ is a triangle. 

Therefore, our answer is $\boxed{75}$. 

I'm assuming the question equation is 

$$(2x+1)^6$$

in which the answer is $240$ by the binomial theorem, 

https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:polynomials/x9e81a4f98389efdf:binomial/v/binomial-theorem