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Yuri [45]
3 years ago
8

1.

Mathematics
1 answer:
fenix001 [56]3 years ago
3 0

Answer:

r = 3/5

Step-by-step explanation:

S_∞ = a/(1 – r)

A geometric series has first term 2 and sum to infinity 5.

1)Find the common ratio.

= S_∞ = a/(1 – r)

5 = 2/1 - r

Cross Multiply

5(1 - r) = 2

5 - 5r = 2

5 - 2 = 5r

r = 5 - 2/5

r = 3/5

2)Find the sum of the first 10 terms of the series.

The sum of the first 10 terms =

S

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IgorLugansk [536]

The image of M is (7 , -8)

Step-by-step explanation:

Let us revise some transformation

  • If the point (x , y) translated horizontally to the right by h units  then its image is (x + h , y)
  • If the point (x , y) translated horizontally to the left by h units  then its image is (x - h , y)
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  • If the point (x , y) translated vertically down by k units  then its image is (x , y - k)

∵ The quadrilateral PUMA has coordinates at:

   P (-5 , -2) , U (-1 , 2) , M (4 , -3) , A (0 , -7)

∵ It is transformed by (x + 3 , y - 5)

- That means the quadrilateral translated 3 units right and 5 units

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∴ The image of point M = (4 + 3 , -3 - 5)

∴ The image of point M = (7 , -8)

The image of M is (7 , -8)

Learn more:

You can learn more about transformation in brainly.com/question/5563823

brainly.com/question/11203617

*LearnwithBrainly

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