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Earn +20 ptsQ: How many solutions can two lines have that intersect once?
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Why the imaginary lines of magnet never intersect?
If they would intersect, that would mean that at one point in space, the field lines point to two different direction simultaneously. A compass needle would have to point to two different directions at once.
When you solve a system of equations algebraically how can you tell whether the system has zero one or an infinite number of solutions?
Compare the equations. If it has the same slope it most likely will be parallel which means it has 0 solutions. However, if you plug in points and they match up exactly it would have an infinite amount of solutions. The only way it would intersect more than once or 2 then would be if it was a parabola which would have a x^2 value typically. If it has 1 solution it means it would intersect once.
How many times does each line segment in a polygon intersect?
I want to say 2, once at each corner
How many times do a pair of intersecting lines cross?
Once.
How many times do two intersecting lines cross?
once
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