Determine translation

Mathematics

1 answer:

Mandarinka [93]2 years ago

5 0

The translation moved point B(-5, -2) to B'(6, -5). Although a graph isn't necessary, it helps visualize what happened.

What happened to the x-coordinate of B? It changed from -5 to 6, an INCREASE of 11. So point B moved 11 units to the RIGHT.

What happened to the y-coordinate of B? It changed from -2 to -5, a DECREASE of 3. So point B moved 3 units DOWN.

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A corporation must appoint a president, chief executive officer, chief operating officer and chief financial officer. It also ap

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Answer:

Part a: The number of ways in which the candidates can be appointed on the executive posts are 11880.

Part b: The number of ways in which the candidates can be appointed as members of the planning committee are 495.

Step-by-step explanation:

As the complete question is not given a similar question is found online and is attached herewith.

Part a: Number of ways in which 12 candidates can be appointed for President, Chief Executive Officer, Chief Operating Officer and Chief Finance Officer.

Number of Candidates=12

Number of Posts=4

As the order is important the number of ways are identified using Permutations given as

$Number\,\ of\, ways=^{12}P_4\\Number\,\ of\, ways=\frac{12!}{(12-4)!}\\Number\,\ of\, ways=\frac{12!}{8!}\\Number\,\ of\, ways=11880$