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Ne4ueva [31]
3 years ago
13

What is the value of the expression 1/7 ÷8 A 1/12 B 1/35 C 5/7 D 6/7

Mathematics
2 answers:
dsp733 years ago
7 0

Answer:

Step-by-step explanation:B and D I belive.

vesna_86 [32]3 years ago
3 0

Answer:

Looks like it's none.

Step-by-step explanation:

\frac{1}{7}*\frac{1}{8}=\frac{1}{56}

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8 inches. 3/4 of 8 feet is 6 feet leaving two left over, one third of that is 8 inches.
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ohaa [14]

9514 1404 393

Answer:

  • scale factor: 3
  • rule: (x, y) ⇒ (3x +15, 3y -24)
  • center: (-7.5, 12)

Step-by-step explanation:

The scale factor can be found by comparing the length of CB to the length of RQ.

  B-C = (-2, 8) -(-4, 9) = (2, -1)

  Q-R = (9, 0) -(3, 3) = (6, -3)

The length of RQ is clearly 3 times the length of CB, so the scale factor (k) is ...

  ratio of corresponding differences = 6/2 = -3/-1 = 3 . . . . . scale factor

__

We know that for dilation about a point O, the distance from O is multiplied by the scale factor. For dilation of point B to point Q, this means ...

  k(B -O) = (Q -O)

Solving for Q, we get ...

  Q = kB -kO +O . . . . this is what our dilation rule will look like.

The quantity O-kO can be found by subtracting kB:

  Q -kB = O -kO = O(1 -k)

This is what we need for our dilation rule.

  Q -kB = (9, 0) -3(-2, 8) = (9+6, 0-24) = (15, -24)

So, our dilation rule is ...

  (x, y) ⇒ k(x, y) +(15, -24)

  (x, y) ⇒ (3x +15, 3y -24) . . . . . dilation rule

__

The center of dilation can be found from ...

  (Q -kB)/(1 -k) = O

  O = (15, -24)/(1 -3) = (-7.5, 12)

The center of dilation is (-7.5, 12).

_____

<em>Additional comments</em>

On the graph, the center of dilation can be found by drawing a line through a point and its image. (Points are always dilated along a line through the center of dilation.) The intersection of two such lines is the center of dilation.

On this graph, the center is just above the top edge of the chart, at point (-7.5, 12). You can see this if you carefully draw lines BQ and AP.

You usually have coordinates for two original points and two image points, so finding the scale factor the way we did is not difficult. If you just have one point on the original and the image, the scale factor is found by finding their distances from the center of dilation. Each image point is k times as far as each original point from that center.

7 0
3 years ago
Which polynomial represents the sum below?
FromTheMoon [43]

Answer:          D. 8x² + x + 3

Sum means the answer to an addition problem. To find the sum of polynomials, we will add like terms.

<h2>What are like terms?</h2>

Like terms can be combined using addition or subtraction and have the same variables. Constants are also like terms with each other because they have no variables.

<h2>Solve</h2>

(4x² + 1) + (4x² + x + 2)      Starting equation from the question

= 4x² + 1 + 4x² + x + 2       Remove brackets

= 4x² + 4x² + x + 1 + 2       Rearrange to group like terms together

= 8x² + x + 1 + 2                Add like terms with the same 'x²' variables

= 8x² + x + 3                     Add like terms that are constants

Learn more about adding polynomials here:

brainly.com/question/1311115

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kifflom [539]

Answer:

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Step-by-step explanation:

2x^2+8x+6

Factor out a 2

2(x^2 +4x+3)

Factor in side the parentheses

What multiply to 3 and adds to 4  (3(1=3  3+1 =4)

2 ( x+3) (x+1)

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What is the greatest common factor of 15, 75, and 9
Leokris [45]

Answer:

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Step-by-step explanation:

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