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Algebra

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A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

The sum or difference of p and q is the of the x-term in the trinomial

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

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Q: Any three points lie on a distinct line?
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Related questions

Is three distinct points always determine a line?

No, because Of any three points on a line there exists no more than one that lies between the other two.


How many points determine exactly one line?

It takes exactly 2 distinct points to uniquely define a line, i.e. for any two distinct points, there is a unique line containing them.


You can choose any two distinct points on a line to calculate the slope?

A.True


Through any two distinct points there exists exactly one line?

False!


Through any two distinct points there are exists exactly one line?

Yes


What detemines a unique straight line?

In a Euclidean plane any two distinct points uniquely define a straight line.


Prove the existence of triangles?

1. Given any line, there are at least two points on the line. Call them A and B. 2. Given any line, there exists at least one point in the plane that is not on the line. Call that point C. 3. Given any two points (A and C and, then B and C) there exists a straight line joining them. The point C is not on AB so AB and AC are distinct. Similarly, AB and BC are distinct so that there are three lines that meet, in pairs, at three vertices - and that is a triangle.


What kind of points determine a plane?

Any three points which do not form a line.


Given any three points is there exactly one plane containing them?

Through any three points NOT on the same straight line. If they are all on the same line then that line can act as an axis of rotation for an infinite number of planes containing the three points.


In geometry is it true that through any three points exists exactly one line?

No, given any three points, it is possible for one of the points not to be on the line defined by the other two points. Only two points on a line are needed to identify the exact position of the line. The positions of any three points gives you the exact position of the plane that includes those three points.No, it is not true. If it were true, all triangles would be straight lines !?!


Noncollinear points lie on the same line?

You have to have three or more points to have non-colinear points because any two points determine a line. Noncolinear are NOT on the same line.


What three points determined a plane?

Any three points that are non-collinear (not on the same line) will determine a plane.

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