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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.
