Which pair of undefined terms is used to define a ray?
2 answers:
A line and a point.
Additional explanation
A ray consists of a segment of a line emerging from one endpoint. It represents an infinite straight path extending in one direction from a starting point, exemplified by .
The arrow indicates the direction along which the ray extends. The ray's length isn't quantifiable.
In geometry, undefined terms refer to fundamental figures that are not defined by other figures. The primary undefined terms in geometry include a point, line, and plane.
These crucial concepts cannot be precisely defined in mathematical terms using other established words.
- A point indicates a specific location without any size; it is marked with a capital letter and a dot.
- A line comprises an infinite collection of points stretching in both directions with just one dimension; it is a straight path without thickness.
- A plane represents a flat surface encompassing numerous points and lines, extending infinitely in all directions. It is two-dimensional, and any three points that are not collinear define a unique plane.
Explore more
- Which points are both coplanar and noncollinear?
- Definition of line segments
- What are three collinear points on a line?
Keywords: which undefined terms define a ray, point, line, plane, endpoint, one direction, the ray's arrow
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Answer:
Step-by-step explanation:
Step 1:
Step 2:
Step 3:
Step 4:
To complete the square, add to both sides.
Step 5:
Step 6:
Taking square roots on both sides.
Question:
Which statement is accurate concerning the function’s discontinuities
A) There are gaps at x = 7 and.
B) Asymptotes exist at x = 7 and.
C) Asymptotes exist at x = –7 and.
D) Gaps are present at (–7, 0) and.
Answer:
B) Asymptotes exist at x = 7 and
Step-by-step explanation:
Given:
Goal:
Identify the correct statement
We need to factor the denominator first.
To express x in terms of (3x+4) and (x-7):
3x + 4 =
3x = -4
Divide both sides by 3:
x - 7
x = 7
Next, evaluate the limit when and at (x = 7)
lim f(x) as = ±∞
lim f(x) as (x=7) = ±∞
Since both scenarios result in the denominator approaching zero, they represent asymptotes.
Thus, asymptotes are found at and x=7
Option B is determined to be correct