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astraxan [27]
3 years ago
15

The vértices of a figure are given.

Mathematics
1 answer:
tatyana61 [14]3 years ago
8 0

Answer:

  R''(2, 1), S''(-1, 7), T''(2, 7)

Step-by-step explanation:

Rotation 90° CCW is accomplished by the transformation ...

  (x, y) ⇒ (-y, x)

Translation 3 left and 8 up is accomplished by the transformation ...

  (x, y) ⇒ (x -3, y +8)

Together, the two transformations give ...

  (x, y) ⇒ (-y -3, x +8)

So your transformed points are ...

  R(-7, -5) ⇒ R''(-(-5)-3, -7+8) = R''(2, 1)

  S(-1, -2) ⇒ S''(-(-2)-3), -1+8) = S''(-1, 7)

  T(-1, -5) ⇒ T''(-(-5)-3, -1+8) = T''(2, 7)

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2/5 k - 3/5 + 1/10 k
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Answer:

Step-by-step explanation:

2/ 5 k− 3 /5 k+ 1 /10 k = 2 /5 k+ −3 /5 k+ 1 /10 k

Combine Like Terms:

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This is a more complicated way to write y < 2

The range is the set of all possible y outputs of a function. So we use the graph to see what y values are possible. The graph shows that y can be anything smaller than y = 2. We can't actually reach y = 2 itself due to a horizontal asymptote here.

In interval notation, the answer would be (-\infty, 2) with the curved parenthesis to indicate "do not include y = 2 as part of the range".

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All of these conditions are met; the sampling is random as indicated by SRS, it is a normal distribution because one popular rule states that a sample size of at least 30 is enough and here we have a sample size of 45, it is independent because the sample size of 45 is less than 10% of the population

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