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Does every line have an infinite number of lines parallel to the given line?
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∙ 9y ago
Yes it's quite possible if need be.
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∙ 9y ago
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Infinite number of points equidistant from a given point?
a circle?
Find the slope of a line parallel to the graph of y 4x 2?
y = 4x + 2 Find the slope of a line parallel to the given equation. First, let's take a look at what it means to be parallel. The easiest way to look at it, is to think of railroad tracks. Parallel lines are the same distance apart for EVERY point on the line. This means, parallel lines will NEVER, ever cross. There will never be a point in common with both. Now think about how this will help us with our slope in the equation. Try to answer the following. Our parallel line will have: a) the same slope as the given line OR b) a different slope as the given line That's right, (a). If you're asked to find the equation/slope of a parallel line to a given line, the parallel line will always have the exact SAME slope as your given line! Since our given line y= 4x +2 has a slope of 4, the parallel line to y = 4x +2 will also have a slope of 4. Remember, the general form of a linear equation is y = mx +b, where m = slope and b = y-intercept.
What is infinite and finite set in math?
A set is finite if there exists some integer k such that the number of elements in k is less than k. A set is infinite if there is no such integer: that is, given any integer k, the number of elements in the set exceed k.Infinite sets can be divided into countably infinite and uncountably infinite. A countably infinite set is one whose elements can be mapped, one-to-one, to the set of integers whereas an uncountably infinite set is one in which you cannot.
What does it mean for a system to be consistent or inconsistent?
does it stay the same or not? Actually, a system is inconsistent if you can derive two (or more) statements within the system which are contradictory. Otherwise it is consistent. For example, Eucliadean geometry requires that given a line and a point not on that line, you can have one and only one line through the point which is parallel to the original line. However, you can have a consistent system of geometry if you assume that there is no such parallel line. This is known as the projective plane. You can assume that there will be an infinite number of parallel lines through a point not on the line. And again you can have a consistent system. Consistency or inconsistency has nothing whatsoever to do with time.
A given line is always parallel to itself?
False.
Does every line have an infinite number of lines perpendicular to the given line?
Yes. There can be a line perpendicular to the given line at every point on it, and you know how many different points there are on it ...
What are the characteristics of hyperbolic geometry?
A.When represented on a Poincaré Disk, a line is an arc that has endpoints.B.There is an infinite number of lines parallel to a given line through a given point.C.It can be represented by a Poincaré Disk.Triangles have less than 180 degrees.
Which of the following are characteristics of hyperdolic geometry?
A.When represented on a Poincaré Disk, a line is an arc that has endpoints.B.There is an infinite number of lines parallel to a given line through a given point.C.It can be represented by a Poincaré Disk.Read more: What_are_the_characteristics_of_hyperbolic_geometry
What number has five different prime factors?
Since there are an infinite number of prime numbers, there are infinite numbers with any given number of prime factors.
Infinite number of points equidistant from a given point?
a circle?
How many planes can intersect a line at a given point?
an infinite number; no limit
How do you find the length and width of a rectangle given the area?
You can't. There are an infinite number of possible rectangles with a given area.
How many planes contain a given line in space?
Given a line, there are an infinite number of different planes that it lies in.
How many points may a line contain?
A line, ray, or line segment contains an infinite number of points.
Which prime numbers are greater than 100?
There are an infinite number of primes greater than any number given.
What are all the prime factorizations?
You cannot list all the potential prime factors. Any prime number can be a prime factor. There are an infinite number of prime numbers, so there are an infinite number of potential prime factors. If given a specific number, the prime factors for it can be listed.
How many lines can pass through a two given lines?
An infinite number
