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At what value(s) of x do the graphs of \(y=-2x+1\) and \(y=2x^2+5x+4\) intersect?
If \(x^2+2xy+y^2=64\) and \(y-x=12\), which of the following could be the value of x?
\(y=x\)
\((y-2)^2-4=-x\)
The system of equations above intersects at two points. What is the sum of the coordinates of the point of intersection in quadrant I?
In the xy-plane, the graph of the line \(y=\frac{15}4\) intersects the graph of the equation \(y=x^2+x\) at two points. What is the distance between these two points?
\(2x=y+3\)
\(y=x^2+6x-24\)
Which if the following could be a value of x?
\((x-2)^2+y^2=36\)
\(y=-x+2\)
The equations above represent a circle and a line that intersects the circle across its diameter. What is the point of intersection of the two equations that lies in quadrant II?