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How many straight lines can be formed by connecting any 2 of the 6 non-collinear points?
15 Consider one of the points. Call it point A. You can draw one line containing A through each of the other five lines (i.e., there are five lines that contain both A and another of the five points). Now, consider another of the points -- call it B. Excluiding the line that contains A and B, there are four lines that can be drawn containing B and one of the other four points. Continue this process for all the points. You get 5+4+3+2+1=15 lines. In general, if you have n non-collinear points, there are n+(n-1)+(n-2)+...+2+1=n*(n+1)/2 lines that can be drawn through any two of those points.
Where do two perpendicular line intersect?
The point of intersection is the one point that is common to both lines.
When two or more lines intersect at a point they are said to be?
Theorem: If two lines intersect, then exactly one plane contains both lines. So, when two or more lines intersect at one point, they lie exactly in the same plane. When two or more lines intersect at one point, their point of intersection satisfies all equations of those lines. In other words, the equations of these lines have the same solution, which is the point of intersection.
What is radius equals 12 inches?
Every circle has a point called the centre. A straight line drawn through the centre and extending both ways to intersect with the circle at opposite points is called the diameter. A straight line drawn from the centre to intersect with one point of the circle is called the radius. In this case, the length of that straight line is 12 inches.
How do you solve y4x-2 and y-x 3 by graphing?
There are equals missing from the equations, but that doesn't matter as you are asking how to solve by graphing:First, rearrange your equations into the form: y = mx + cYou can then plot on graph paper the two equations.In this case, they are both linear equations so the graphs will be a straight line. The easiest way to do this is to workout the y value for three chosen x values, eg x = -2, 0, 2, plot those points and draw the straight line that goes through all three. I suggest three points as it is always possible to draw a straight line through two points and as you know the line is straight, it acts as a check to ensure you have the right values.Once you have drawn both the lines, find the point of interception (when the lines cross) - if necessary extending the lines drawn - and read off the X and Y values from the graph.
How many lines can be drawn through both of the two given points?
One.
What postulate is not of euclidean geometry?
Euclidean Geometry is based on the premise that through any point there is only one line that can be drawn parallel to another line. It is based on the geometry of the Plane. There are basically two answers to your question: (i) Through any point there are NO lines that can be drawn parallel to a given line (e.g. the geometry on the Earth's surface, where a line is defined as a great circle. (Elliptic Geometry) (ii) Through any point, there is an INFINITE number of lines that can be drawn parallel of a given line. (I think this is referred to as Riemannian Geometry, but someone else needs to advise us on this) Both of these are fascinating topics to study.
What are implied and actual lines?
Implied lines are suggested or perceived lines that are not physically drawn, but are created by the arrangement of elements in a composition. Actual lines are lines that are physically present and drawn. Both types of lines can play a significant role in guiding the viewer's eye and defining the overall structure of an artwork.
How many straight lines can be formed by connecting any 2 of the 6 non-collinear points?
15 Consider one of the points. Call it point A. You can draw one line containing A through each of the other five lines (i.e., there are five lines that contain both A and another of the five points). Now, consider another of the points -- call it B. Excluiding the line that contains A and B, there are four lines that can be drawn containing B and one of the other four points. Continue this process for all the points. You get 5+4+3+2+1=15 lines. In general, if you have n non-collinear points, there are n+(n-1)+(n-2)+...+2+1=n*(n+1)/2 lines that can be drawn through any two of those points.
What is is a line?
Lines of Longitude are imaginary lines that run from the North Pole to the South Pole. The main line of longitude, the Prime Meridian (zero longitude), passes through the Greenwich Observatory, London, England.
What is the significance of the intersection point of two lines?
The coordinates of the point of intersection must satisfy the equations of both lines. So these coordinates represent the simultaneous solution to the two equations that that represent the lines.
Where do two perpendicular line intersect?
The point of intersection is the one point that is common to both lines.
What dose in parallel mean?
parallel means they will never cross each other. take a example when a resistance connected in parallel then a current flowing through it(both resistance) is not same depended on the value of each resistance. while in the series circuit current values is same for both resistance. parallel lines are drawn below:- series lines:- -------
When two or more lines intersect at a point they are said to be?
Theorem: If two lines intersect, then exactly one plane contains both lines. So, when two or more lines intersect at one point, they lie exactly in the same plane. When two or more lines intersect at one point, their point of intersection satisfies all equations of those lines. In other words, the equations of these lines have the same solution, which is the point of intersection.
If Jax drew a line through point A and point B. Chris also drew a line through the two points. Which statement is true?
The statement that is true is that both Jax and Chris drew the same line through points A and B. In geometry, a line is defined by two points, so if both individuals drew a line passing through the same two points, it means they have drawn the same line. This is a fundamental concept in geometry where a line is uniquely determined by two distinct points.
Can a point lie on two different lines?
Yes as long as the two lines are intersecting at that point. For example if you looked at an x-y axis, the point (0,0) would lie on both the x and y axis or two different lines.
How do you find the point two lines intercept at given the slopes and Y-intercepts of both lines?
Solve the two equations simultaneously. The solution will be the coordinates of the point of intersection.
