0
Still curious? Ask our experts.
Chat with our AI personalities
Fran
Professor
DevinAdd your answer:
Earn +20 pts
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.
