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Natalka [10]
4 years ago
12

(01.01 LC)Where is the answer to the expression 4 − 8 located on a horizontal number line? 4 units to the left of 4 4 units to t

he right of 4 8 units to the left of 4 8 units to the right of 4
Mathematics
1 answer:
kenny6666 [7]4 years ago
3 0
Amewr
8 untis to the left
Hope tbis hrlo
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Factor –8x3 – 2x2 – 12x – 3 by grouping. What is the resulting expression?
xenn [34]
Easier if you first factor out the " - " sign.  Then you have:

–8x3 – 2x2 – 12x – 3    = -1(<span>8x3 + 2x2 + 12x +3).
</span>
Start with 12 + 3.  This factors to 3(4x+1).  Next, focus on 8x^3+2x^2.  This factors to 2x^2*(4x+1).  So, the binomial factor 4x+1 is common to the first two terms and the second two terms.  We get:  (4x+1) (  2x^2  + 3).

Now put the "-" sign back in, and we get   - (4x+1) ( 2x^2  + 3)    (answer)

Please note:  Use "^" to denote exponentiation.   2x2 is meaningless; it should be 2x^2.
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Step-by-step explanation:

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Which best explains why the rotation represents an
Alinara [238K]

The best explanation for why the rotation is isometric is "<u>The rectangle did not change shape or size</u>". Hence the <u>second option</u> is the right choice.

There are four main categories of transformations:

  1. Translation (figure slides in any direction)
  2. Reflection (figure flips over a line)
  3. Rotation (figure turns about a fixed point)
  4. Dilation (the figure is enlarged or reduced)

A stiff transformation known as an isometry maintains perimeter and area while also preserving length and angle measurements. In other words, there is congruence between the preimage and the image. Translations, reflections, and rotations are therefore isometric, but dilations are not since the image and preimage are comparable, rather than congruent figures.

The transformation in the question will be isometric when the preimage of the rectangle before 360° rotation, will be congruent to the image after the rotation.

The congruency is best described by the option "The rectangle did not change shape or size", as that is the basis of congruency.

Thus, the best explanation for why the rotation is isometric is "<u>The rectangle did not change shape or size</u>". Hence the <u>second option</u> is the right choice.

Learn more about isometric transformations at

brainly.com/question/24095450

#SPJ4

The provided question is incomplete. For the complete question, refer to the attachment.

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2 years ago
Which property does each equation demonstrate
sveticcg [70]

Answer:

a

Step-by-step explanation:

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