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Ainat [17]
2 years ago
8

Draw a line segment and copy it to the right of the original segment. Explain your steps and justify each step used.

Mathematics
2 answers:
natta225 [31]2 years ago
8 0

Answer:

The setps are the answer, check pictures below.

Step-by-step explanation:

Let's construct it with a compass, ruler.

1) Draw a line segment

2) Copying a line segment.

Place the compass needle on one end (A), open it the same width (to B) as the line. Keep the width, and copy by marking small arcs, to the right. Place the Compass Needle on another end, random chosen (C). Mark and rotate it to mark on the other end (D). Draw a copy line with a green pen.

The compass keeps the size without a ruler or straightedge for small lines.

3) Bisecting a line segment.

To bisect it. all you need to do is with a compass open it a

little more than half of this width. Place the compass needle on A, mark an arc with the Compass pencil over and below the line, trace an arc clockwise. And with compass needle on B mark another arc counterclockwise over and below the line. Using a ruler trace a perpendicular segment connecting to the common point.

Having open a little more than the half over and below, the intersection point will hit exactly the half.

4)  Copying an angle: Having an angle, let's proceed to copy it.

Compass needle on B (vertex), trace an arc marking points G, and H. Then,  in another segment place the compass needle on J, same width, then mark on the second angle the point I. Place the needle on D and trace the arc. There you have the same arc.

Natali [406]2 years ago
4 0
<span>mark a line on piece of paper, any length you desire, roughly in the left upper quadrant (1/4 of the page), and 'copy' it to the right of the segment, writing down the steps you use. For example: Original line segment, 3 inch straight line. For the 'copy', you would 'measure' the line drawn, and duplicate it to the right, measuring it to make sure it is the exact length of the first line. To bisect the original line segment measure the line with a ruler or other device, and calculate 1/2 distance from one end, mark it, measure from left end to mark, make sure right section is equal in length. You can do this without 'measuring', without a ruler, simply use a piece of paper and mark the 'total length first on it, then fold it in half to find the mid-point Use the same process for the 'angles'. (i just gooled it for you, i didn't have teh anwser, but i hope this helps.) </span>
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Rzqust [24]

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How do you evaluate an algebraic expression?
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Answer:

  follow the Order of Operations

Step-by-step explanation:

An algebraic expression cannot be <em>evaluated</em> unless all of its variables have been replaced by numerical values. (It can be <em>simplified</em>, but not <em>evaluated</em> if it contains variables.)

A collection of numbers and math symbols is interpreted according to the Order of Operations. This order reflects a precedence of operations that is generally agreed or understood to be applied to algebraic expressions. Operations with the highest precedence are performed first. Operations with equal precedence are generally performed in order, left to right. (There are exceptions.) Parentheses or other grouping symbols are used to modify the order of operations as may be necessary.

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Here is a description of the most often seen operations in an algebraic expression, in order of precedence (highest to lowest).

1. Parentheses or Brackets -- any expression enclosed in parentheses or brackets is evaluated first. Evaluation is according to the order of operations. That means that if parentheses are nested, expressions in the innermost parentheses are evaluated first.

2. Exponents or Indices -- Expressions with exponents are evaluated next. In this context, roots are fractional exponents. If exponents are nested, they are applied right to left:

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Again, parentheses alter this order, so ...

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3. Multiplication and Division -- These operations have the same precedence, so are performed in order of appearance, left to right. Of course, division is the same as multiplication by a reciprocal, and multiplication is a commutative and associative operation. Those features of these operations do not alter the "order of operations," but may alter your approach to actually doing an evaluation.

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You will also note that 9/3*2 is not the same as 9/(3*2). That is, the denominator in the division is only the first number after the division symbol. This is also true for expressions involving variables:

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If you want b/(2a), you must use parentheses.

Some authors make a distinction between the slash (/) and the symbol ÷ in their effect on an expression. The Order of Operations makes no such distinction, treating /, ÷, "over", "divided by" as all meaning exactly the same thing.

4. Addition and Subtraction -- These operations have the same precedence, so are performed in order of appearance, left to right. Of course, subtraction is the same as addition of an opposite, and addition is a commutative and associative operation. Those features of these operations do not alter the "order of operations," but may alter your approach to actually doing an evaluation.

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Working this according to the order of operations, we have ...

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  = 10 × 4 - 2 × 4 ÷ 2 ÷ (1/2) + 9 . . . . . division inside parentheses

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  = 40 - 8 ÷ 2 ÷ (1/2) + 9 . . . . . . second multiplication

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  = 40 - 8 + 9 . . . . . . second division

  = 32 . . . . . . first addition

  = 41 . . . . . .  second addition

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