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What is known about the lines of the equations in a system of equation when the solution set is all real numbers?
No answer is possible. As soon as you have one valid line, all points that are not on that line cannot be part of the solution set. Therefore the solution set cannot be all real numbers.No answer is possible. As soon as you have one valid line, all points that are not on that line cannot be part of the solution set. Therefore the solution set cannot be all real numbers.No answer is possible. As soon as you have one valid line, all points that are not on that line cannot be part of the solution set. Therefore the solution set cannot be all real numbers.No answer is possible. As soon as you have one valid line, all points that are not on that line cannot be part of the solution set. Therefore the solution set cannot be all real numbers.
What are points that lay on the same line?
They are points on the line,. If the line is a straight line the points are said to be colinear If all the points are on a line with an equation of the form (x - X)² + (y - Y)² = r² then the points are all points on the circumference of a circle with centre (X, Y) and radius r.
Does a plane containing 2 points of a line contains the entire line?
Yes, a plane containing 2 points of a line contains the entire line. Let us consider two points on a plane and then draw a line segment joining those two points. Since the points lie on the plane so line segment has to lie completely on that plane too. Now if we extend the line segment indefinitely in both directions we get a line and that line also has to lie on the same plane since some definite part(line segment) of it(line) also lies on the same plane.
If three points are coplanar then are they collinear?
Not necessarily. Coplanar means that points lie on the same plane whereas collinear means that points lie on the same line. Points on a plane do not necessarily lie along the same line.
Why is a line undefined?
A line is undefined because all points on the line have the same x-coordinate.
A line on which numbers are assigned to points?
Real Number line
How do you do mixed numbers and decimals on a number line?
First, you draw a number line. You then make points for the counting numbers, and place the mixed numbers and decimals between these points, getting their own points and labels.
What Numbers can be graphed on a number line?
Points
What is a diagram listing all numbers as points on a line called?
a line graph
What is the definition of number line?
number line- a straight line on which there is indicated a one-to-one correspondence between points on the line and the set of real numbers. basically a line with numbers on it.
What is the definition of a number line?
number line- a straight line on which there is indicated a one-to-one correspondence between points on the line and the set of real numbers. basically a line with numbers on it.
What is another way to name line ℓ?
Another way to name line ℓ is by using two points that lie on the line, such as points A and B, expressed as line AB. Alternatively, you can also name it using a single lowercase letter, if one is assigned, such as line m.
What is 5.1 and 1.5 on the number line?
They are two points representing rational numbers.
What are the ruler postulate?
The ruler postulate states that the points on a line can be matched one-to-one with real numbers, allowing for the measurement of distances between points. Specifically, it asserts that any two points can be assigned coordinates in such a way that the distance between them is the absolute value of the difference of their coordinates. This provides a foundation for understanding length in a linear context within geometry.
Can irrational numbers cannot be represented by points on the real number line?
These number can also be represented on real line.
Is there an empty set or point between any two points on a number line?
There are an infinite number of points between any two numbers on the real number line.
Can The points on a line can be paired one to one with real number?
Yes, the points on a line can be paired one-to-one with real numbers. This is because a line is a continuous and infinite set of points, which can be represented by a coordinate system, such as the Cartesian plane. By assigning each point on the line a unique real number (e.g., using its distance from a fixed point), we establish a one-to-one correspondence between the points and the real numbers. This concept is foundational in understanding the properties of real numbers and the nature of lines in geometry.
