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Lubov Fominskaja [6]
2 years ago
8

If the greatest integer function is called the floor function because it rounds any number down to the nearest integer, what wou

ld you presume about the ceiling function?
Mathematics
2 answers:
makvit [3.9K]2 years ago
6 0
<h2>Answer with explanation:</h2>
  • The greatest integer function which is also known as a floor function rounds any number down to the nearest integer.

for example--

         If -2  ≤x <-1 then value of function is -2

        If   -1 ≤x < 0 then value of function is -1

        If   0 ≤x < 1 then value of function is 0

        If   1 ≤x < 2 then value of function is 1

and so on.

  • Similarly the least integer function which is also known as a ceiling function rounds any number up to the nearest integer.

for example--

         If -2  < x ≤ -1 then value of function is -1

        If   -1 < x ≤ 0 then value of function is 0

        If   0 < x ≤ 1 then value of function is 1

        If   1 < x ≤ 2 then value of function is 2

and so on.

Phantasy [73]2 years ago
5 0
Ceiling Function is the least integer that is greater than or equal to x.
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Simplify 6xy - 20y + 7z - 8x + 25y - 11z
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Answer:

6xy - 8x + 5y - 4z

Step-by-step explanation:

6xy - 20y + 7z - 8x + 25y - 11z

Group the ones with the variable first to make an equation:

6xy - 8x - 20y + 25y + 7z - 11z

Solve the equation

6xy - 8x +5y - 4z

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7 MPH because 2 1/3
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1 year ago
Anton will be constructing a segment bisector with a compass and straightedge, while Maxim will be constructing an angle bisecto
Genrish500 [490]

The similarities are;

  • Compass and a straight edge required for both construction
  • Both construction includes a line drawn from the intersection of arcs to bisect a segment or an angle
  • The bases for the construction of both bisector are the ends of segment and the angle to be bisected
  • The width of the compass when drawing intersecting arcs, is more than half the width of the segment or angle being bisected

The differences are;

  • Two points of intersection of arcs are used in the segment bisector while only one is requited in an angle bisector
  • The bisecting line crosses the segment in a segment bisector, while it stops at the vertex of the angle being bisected in an angle bisector

The sources of the above equations are as follows;

The steps to construct a segment bisector are;

  • Place the needle of the compass at one of the ends of the line segment to be bisected
  • Widen the compass so as to extend more than half of the length of the segment to be bisected
  • Draw two arcs, one above, and the other below the line
  • Place the compass needle at the other end and with the same compass width draw arcs that intersects with the arcs drawn in the above step
  • Draw a line segment by placing the ruler on the points of intersection of the arcs above and below the line

The steps to construct an angle bisector are;

  • With the compass needle at the vertex, open the pencil end such that arcs can be drawn on the rays (lines) forming the angle
  • Draw an arc on both lines forming the angle
  • Place the compass needle at one of the intersection points and draw an arc in between the lines forming the angle
  • Repeat the above step with the same compass width from the other intersection point with the rays forming the angle
  • Join the point of intersection of the two arcs to the vertex of the angle to bisect the angle

Therefore, we have;

The similarities are;

  • A compass and a straight edge can be used for both construction
  • A straight line is drawn from the point of intersection of arcs to bisect the segment or the angle
  • The arcs are drawn from the ends of the segment or angle to be bisected
  • The width of the compass is more than half the width of the line or angle when drawing the arcs

The differences are;

  • In a segment bisector, the intersection point is above and below the line, while in an angle bisector only one pair of arcs are drawn to intersect above the line
  • The bisecting line passes through the segment being bisected, while the line stops at the vertex in an angle bisector

Learn more about the construction of segment and angle bisectors here;

brainly.com/question/17335869

brainly.com/question/12028523

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