For which rational expression is –2 an excluded value of x?

Mathematics

1 answer:

Kipish [7]3 years ago

5 0

Answer:

option a is the answer

Step-by-step explanation:

put the value of x in each expression as x = -2

you'll see that in option a the expression becomes

$\frac{x - 3}{ {x}^{2} - 4} = \frac{ - 2 - 3}{ {( - 2)}^{2} - 4} \\ = \frac{ - 5}{4 - 4} \\ = \frac{ - 5}{0}$

which is not defined. hence -2 is excluded value

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<h3>Further explanation</h3>

This is one of the classic problems of Euclidean geometry.
The angle is determined by three points, we call it A, B, C, with A ≠ C and B ≠ C.
We express an angle with three points and a symbol ∠. The middle point represents constantly vertex. We can, besides, give angle names only with vertices. For example, based on the accompanying image, the angle can be symbolized as ∠BAC, or ∠CAB, or ∠A.

Types of Angles

The acute angle represents an angle whose measure is greater than 0° and less than 90°.
The right angle is an angle that measures 90° precisely.
The obtuse angle represents an angle whose measures greater than 90° and less than 180°.
The straight angle is a line that goes infinitely in both directions and measures 180°. Carefully differentiate from rays that only runs in one direction.

Undefined terms are the basic figure that is undefined in terms of other figures. The undefined terms (or primitive terms) in geometry are a point, line, and plane.

These key terms cannot be mathematically defined using other known words.

A point represents a location and has no dimension (size). It is marked with a capital letter and a dot.
A line represent an infinite number of points extending in opposite directions that have only one dimension. It has one dimension. It is a straight path and no thickness.
A plane represents a planar surface that contains many points and lines. A plane extends infinitely in all four directions. It is two-dimensional. Three noncollinear points determine a plane, as there is exactly one plane that can go through these points.

<h3>Learn more </h3>

Undefined terms are implemented to define a ray brainly.com/question/1087090
Definition of the line segment brainly.com/question/909890
What are three collinear points on a line? brainly.com/question/5795008

Keywords: the definition of an angle, the undefined term, line, point, line, plane, ray, endpoint, acute, obtuse, right, straight, Euclidean geometry