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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.
If two planes intersect than they intersect at exactaly one point?
Yes. If two planes are not coincident (the same plane) and are not parallel, then they intersect in one straight line.
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 point be represented by more than one ordered pair?
yes
Is a right angle bigger than a blunt angle?
I have never come across the term "blunt" angle. The rays of an angle always meet at a point and there is no rounding of these rays so the only interpretation that I can put on a blunt angle is that it is an obtuse angle. IF that is the case, (and sorry if I have misunderstood), then a right angle is smaller.
What are two rays that intersect at more than one point?
no they can't
Can two rays intersect in more than one point?
no the definition is two lines intersecting once
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!
Can three rays intersect at more than one point?
No. Ray= A finite beginning and no finite end. A ray is a linear projection in one direction. If three rays begin at the same point of origin they will never intersect again given their respective directions. Same goes for the situation of them beginning at different P.O.O's; it's only physically possible for them to intersect at one point then after. (Unless of course you bring into the picture mirrors and different mediums wherein the index could possibly cause them to reflect/refract and change their paths.. then they could possibly intersect at more than one point... BUT generally/simply speaking NO three rays cannot intersect at more than one point :-) )
Can three rays of light from an object intersect at the image location?
Yes.. More than 3.
Can two distinct lines intersect in more than one point?
FALSE!!
Two lines intersect in more than one point?
In Euclidean plane geometry two infinitely long straight lines intersect at only one point
Does the graph of a system of equations intersect at more than 1 point?
Sometimes. Not always.
Two lines intersect at more than one point?
Curves yes, straight lines no
What is converging length?
Converging lens refers to a type of lens that is thicker at the center than at the edges, causing light rays passing through it to converge to a focal point. This focal point is where the light rays intersect after passing through the lens, creating a real image.
Does a trapezoid have more than two vertices?
it has 4 vertices, a vertice is a point were two lines intersect
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.
