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Amanda [17]
3 years ago
14

Find the image of the given point under the given translation. P(-5.7) T(x,y) = (x + 5, y - 4)

Mathematics
1 answer:
egoroff_w [7]3 years ago
6 0

9514 1404 393

Answer:

  P'(0, 3)

Step-by-step explanation:

  (x, y) ⇒ (x +5, y -4)

  P(-5, 7) ⇒ P'(-5+5, 7-4) = P'(0, 3)

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The Holy Roman Empire was a group of regions in Central Europe that was held together by a political union. The Holy Roman Empir
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cost of one regular admission ticket = $ 10

cost of one senior citizen ticket = $ 5

<h3><u>Solution:</u></h3>

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Let "s" be the cost of one senior citizen ticket

Given that,

<em><u>On day 1 you sold 30 Regular Admission tickets and  20 Senior Citizen tickets for a total of $400</u></em>

So we can frame a equation as:

30 Regular Admission tickets x cost of one regular admission ticket + 20 Senior Citizen tickets x cost of one senior citizen ticket = $ 400

30 \times r + 20 \times s = 400

30r + 20s = 400 ----- eqn 1

<em><u>Day two you sell 40 Regular Admission tickets and only 10 Senior  Citizen tickets for a total of $450</u></em>

So we can frame a equation as:

40 Regular Admission tickets x cost of one regular admission ticket + 10 Senior Citizen tickets x cost of one senior citizen ticket = $ 450

40 \times r + 10 \times s = 450

40r + 10s = 450 ---- eqn 2

<em><u>Let us solve eqn 1 and eqn 2 to find values of "r" and "s"</u></em>

Multiply eqn 2 by 2

80r + 20s = 900 --- eqn 3

Subtract eqn 1 from eqn 3

80r + 20s = 900

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(-) ---------------------

50r = 500

<h3>r = 10</h3>

Substitute r = 10 in eqn 1

30r + 20s = 400

30(10) + 20s = 400

300 + 20s = 400

20s = 100

<h3>s = 5</h3>

<em><u>Thus we have:</u></em>

cost of one regular admission ticket = $ 10

cost of one senior citizen ticket = $ 5

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12x - 56 = y. Hope it helps! :) If you could vote my answer as the brainiest, that would be awesome! :)
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