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The solution to a two-variable system is the point on a graph at which the lines cross?

Yes, the solution to a two-variable system is the point where the equations of the lines representing the system intersect on a graph. This point represents the values of the variables that satisfy both equations simultaneously.


Is it true that the graph of a proportional relationship does not include the origin?

It is true in the case of inversely proportional relationship.


Can an angle bisector of a triangle always intersect inside the triangle?

The angle bisectors always intersect inside the triangle. (This is not true for altitudes and right bisectors.)


If two lines intersect then they lie in one plane. Is this true always sometimes or never?

always. if two lines intersect, then exactly one plane contains the lines.


Two lines in the same plane that will not intersect are parallel?

If this is a 2-D graph and both of the lines are straight, then yes this statement is true. Otherwise it is not necessarily true.


What statement is true about a graph of an inversely proportional relationship there is no x intercept and no y intercept there is only a x intercept there is only a y intercept or there is both x an?

The graph doesn't intersect either axis.


Is it always true If two lines intersect to form congruent adjacent angles then the lines are perpendicular?

yes


The mode is always found at the highest point of a graph of a data distribution?

true


Is the mode always found at the highest point of a graph true or false?

false


Is a circle graph always based on percentages true or false?

False. It may be simple to calculate percentages from one but that need not be what the graph is based on.


If two lines intersect they intersect in an infinite number of ponits true or false?

false they intersect at a single point


What type of description is true of the discriminant for the graph below?

To accurately describe the discriminant for the graph, one would need to examine the nature of the roots of the quadratic equation represented by the graph. If the graph intersects the x-axis at two distinct points, the discriminant is positive. If it touches the x-axis at one point, the discriminant is zero. If the graph does not intersect the x-axis at all, the discriminant is negative.