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In Euclidean plane geometry two infinitely long straight lines intersect at only one point

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15y ago

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I have to prove if two lines intersect then they intersect in no more than one point I have to assume that lines intersect in MORE than one point i have to prove tht they intersect MORE than 1 wrong?

wrong!


Two lines intersect at more than one point?

Curves yes, straight lines no


Can two distinct lines intersect in more than one point?

FALSE!!


Does a trapezoid have more than two vertices?

it has 4 vertices, a vertice is a point were two lines intersect


Can two rays intersect in more than one point?

no the definition is two lines intersecting once


Can two distinct lines intersect in more than one point explain?

Yes. Any two distinct lines of longitude, for example, meet at two points - the poles. On a plane, though, two points define a unique line. So if two lines intersect at more than one point they must be coincident.


Why do some systems of equations have one solution?

If it is a linear system, then it could have either 1 solution, no solutions, or infinite solutions. To understand this, think of two lines (consider a plane which is just 2 dimensional - this represents 2 variables and 2 equations, but the idea can be extended to more dimensions).If the 2 lines intersect at a point, then that point represents a solution. If the lines are parallel, then they never intersect, and there is no solution. If the equations are such that they are just different ways of describing the same line, then they intersect at every point, so there are infinite solutions. If you have more than 2 lines then maybe some of them will intersect, but this is not a solution for the whole system. If all lines intersect at a single point, then that is the single solution for the whole system.If you have equations that describe something other than a straight line, then it's possible that they may intersect in more than one point.


How many solutions will a system of equations have if the graphs of the lines intersect?

If the lines are straight lines , then there is only one solution, which is the point of intersection of the two lines. It will have ( x,y) coordinates. However, if the lines are curved in any way , there may be more than two or more points of intersection.


Can a system of linear equation have more than one solutions?

No. A linear equation represents a straight line and the solution to a set of linear equations is where the lines intersect; two straight lines can only intersect at most at a single point - two straight lines may be parallel in which case they will not intersect and there will be no solution. With more than two linear equations, it may be that they do not all intersect at the same point, in which case there is no solution that satisfies all the equations together, but different solutions may exist for different subsets of the lines.


What is a solution to a system of equations graphically?

Graphically, it is the point of intersection where the lines (in a linear system) intersect. If you have 2 equations and two unknowns, then you have a 2 lines in a plane. The (x,y) coordinates of the point where the 2 lines intersect represent the values which satisfies both equations. If there are 3 equations and 3 unknowns, then you have lines in 3 dimensional space. If all 3 lines intersect at a point then there is a solution to the system. With more than 3 variables, it is difficult to visualize more dimensions, though.


Can there be more than one point of intersection between the graphs of two linear equations why or why not?

No because the 2 straight lines can only intersect one another at one particular point


What are two rays that intersect at more than one point?

no they can't