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mihalych1998 [28]
3 years ago
9

Lines p and q are intersecting by line r. If m<1=7x-36 and m<2=5x+12, for which value of x would p||q

Mathematics
1 answer:
inessss [21]3 years ago
8 0
The correct answer is B.24
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Is x+y+1=0 a tangent of both y^2=4x and x^2=4y parabolas?
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Step-by-step explanation:

The line intersects each parabola in one point, so is tangent to both.

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For the first parabola, the point of intersection is ...

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For the second parabola, the equation is the same, but with x and y interchanged:

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If the line is not parallel to the axis of symmetry, it is tangent if there is only one point of intersection. Here the line x+y+1=0 is tangent to both y^2=4x and x^2=4y.

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Another way to consider this is to look at the two parabolas as mirror images of each other across the line y=x. The given line is perpendicular to that line of reflection, so if it is tangent to one parabola, it is tangent to both.

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