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tiny-mole [99]
3 years ago
5

The definition of a circle uses the undefined term

Mathematics
2 answers:
Marta_Voda [28]3 years ago
7 0

The <em><u>correct answer</u></em> is:

Plane.

Explanation:

There are three terms generally considered to be undefined in geometry:  point, line and plane.

A circle is the set of all points in a plane the same distance from a given point called the center.  The only of our options that is used in this definition is plane.

miv72 [106K]3 years ago
7 0

The definition of a circle uses the plane as an undefined term.

<h3>Further explanation</h3>

In geometry, undefined terms are those which do not require a rigorous definition. This doesn't mean that those terms are not properly defined, it just means that... their definition is very simple. Let's take a look at those undefined terms:

  • A point, which indicates the position of something. Points have no dimensions, therefor you can't draw a point bigger than another.
  • A line, which indicates a set of collinear points. Lines don't have thickness nor width, so you can't draw a thicker line than another.
  • A plane, which indicates a set of points spanned by 2 lines. Planes have length and width, but no thickness.

From the above 3 definitions, it is possible to define any geometry, that's why we call those undefined terms "building blocks". So, from the above we can define the geometry of a circle, since circles are defined as <em>all points on a </em><em>plane </em><em>such that they are equidistant from a single point, called the center.</em>

<h3>Learn more</h3>
  • More questions about circles: brainly.com/question/8849176
  • More on undefined terms: brainly.com/question/10969140
  • Usefulness of undefined terms: brainly.com/question/1354360
<h3>Keywords</h3>

Plane, undefined terms in geometry, circle, point.

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3 years ago
Explain why the sum or product of rational numbers is rational; why the sum of a rational number and an irrational number is irr
Colt1911 [192]

Answer:

Rational numbers are fractional numbers, whose numerator and denominator are integers and the denominator is ever zero.

Step-by-step explanation:

The sum of rational numbers gives a rational number;

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The product of  \frac{1}{3} x \frac{1}{3} = \frac{1}{9}, which multiply both numerator and denominator to give integer numbers.

The sum and product of rational and irrational numbers are always irrational numbers, for instance,

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4 0
3 years ago
Identify the Vertex: x^2 - 12x + 44
nikklg [1K]

The vertex of the given quadratic polynomial function is (6, 8)

A quadratic polynomial function is the one which can be represented in the form ax² + bx + c = y where a, b and c are coefficients and x, and y are independent and dependent variables respectively. A parabola is formed when the quadratic polynomial is plotted on graph. The x coordinate of the vertex can be found using formula (-b/2a) and y coordinate can be found by putting the value of x in the equation.

Given polynomial function x² - 12x + 44

Now, x = (-b/2a)

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Now, y = 6² - 12×6 + 44

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3 0
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Solution given:

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doing crisscrossed multiplication

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now solve it:

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take common

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3 0
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5 0
3 years ago
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