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Nataly_w [17]
2 years ago
6

The shopkeeper at a seafood store measured the weight, in pounds, of each fish

Mathematics
1 answer:
Sergeu [11.5K]2 years ago
4 0

Answer:

21

Step-by-step explanation:

I have done this question before.

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Please I really need help
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
2 years ago
7.<br> 2. What is the product of 50 and 100?<br> 2<br> 50<br> O 150<br> O 5,000<br> .
Helga [31]

Answer:

it's 5000

Step-by-step explanation:

50*100=5000

hope it helps:p

6 0
3 years ago
Which is the better deal: $33/10 gallon or $47.05/15 gallon
marishachu [46]

 $47.05/15 is better deal

33/10=3.3

47.05/15=3.13666666

4 0
3 years ago
Read 2 more answers
How do you subtract an integer from another integer without using a number line or counters
matrenka [14]
I'm assuming you mean negative integers and mixed. -3--3=? When to negatives are back to back it turns in to a positive number. The equation becomes -3+3=0.

Adding 2 negative numbers will always result in a negative value. -3+-3=-6.

A negative times a negative is always a positive . -2x-2=4

A positive integer times a negative integer will be a negative value. -3x4=-12.

A negative divided by a negative is a negative. -12/-2=-6

A positive divided by a negative is a negative. 9/-3=-3
5 0
3 years ago
Help me with these questions plz
Pepsi [2]
28 cm tall.

hope it helps
6 0
3 years ago
Read 2 more answers
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