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How many lines does a cone have?
Infinitely many. There are infinitely many lines from the apex to the base. Every point on each of these lines is on the surface of the cone.
How many lines are determined by 12 points no 3 of which are collinear?
There are 66 lines. As no 3 points are co-linear, every line passes through exactly two of the points. Thus every point is joined by one of the lines to every other point. So it looks like there are 12 × 11 = 132 lines. However, the line joining point A to point B is the same as the line joining point B to point A; in other words, every line has been counted twice, once for one of the points it passes through and again by the other point it passes through. Therefore there are half the number of lines discovered above, name 132 ÷ 2 = 66 lines. This is the same as the "handshake problem" where everyone at a party shakes hands with everyone else at the party and the question is how many handshakes are there; the points are the people and the lines are the handshakes.
Lines that meet at one point?
There is no specific name for lines that meet at one point, but lines that meet at a point, the point is called the intersection point.
How is the solution in a system of inequalities determine?
An inequality determines a region of space in which the solutions for that particular inequality. For a system of inequalities, these regions may overlap. The solution set is any point in the overlap. If the regions do not overlap then there is no solution to the system.
Two lines that meet at a point?
Two lines that meet at one point is called an intersection. More than two seperae lines can be intersected at one point.
What are lines that have equivalent linear equations and overlap at every point when graphed?
coincidental -Lines that share the same solution sets.
How will a system of equations that has one solution be graphed?
They will be a set of lines meeting at one point - the solution.
Why cant contour lines overlap?
Contour lines cannot overlap because each line represents a specific elevation on the terrain. If contour lines were to overlap, it would imply that a particular point has multiple elevations, which is not possible. Contour lines must always represent a single and distinct elevation value.
If two equation are graphed how can you find the solution?
To find the solution of two equations graphed on a coordinate plane, look for the point where the two lines intersect. This point represents the values of the variables that satisfy both equations simultaneously. The coordinates of this intersection point are the solution to the system of equations. If the lines are parallel, there is no solution; if they are the same line, there are infinitely many solutions.
What kind of lines are consistent dependent systems?
Consistent dependent systems are characterized by lines that overlap, meaning they represent the same line in a graph. This occurs when the equations of the lines are equivalent, resulting in an infinite number of solutions. In such cases, every point on the line is a solution to the system of equations, indicating that the lines are not only consistent but also dependent.
What type of lines are y equals 2x and y equals 4x plus 2?
Those two statements are linear equations, not lines. If the equations are graphed, each one produces a straight line. The lines intersect at the point (-1, -2).
When graphing a system of equations with infinitely many solutions the Y intercept of the two lines will be?
When graphing a system of equations with infinitely many solutions, the two lines will be identical, meaning they overlap completely. As a result, they will share the same Y-intercept, which will be the point where both lines intersect the Y-axis. Therefore, the Y-intercept will be the same for both equations. This indicates that every point on the line is a solution to the system.
What can be graphed as a point or set of points?
Cartesian coordinate system
Is an incenter a point of concurrency?
Yes. Incidentally, every point is a point of concurrency (for some set of lines).
If 16 points are arranged in a circle how many lines are needed to join every point to every other point once?
121
Is a circumcenter a point of concurrency?
Yes. Every point in the Cartesian plane is a point of concurrency for some set of lines.
How can the motion of an object be graphed?
It would depend on what you were measuring as to how it would be graphed (distance from starting point vs time, distance to a certain point vs time, horizontal location vs vertical location, etc).
