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Lady_Fox [76]
3 years ago
12

Determine the center and radius of each circle. (x – 6)2 + y2 – 8y = 0

Mathematics
1 answer:
rusak2 [61]3 years ago
4 0

Answer:

Step-by-step explanation:

(x-6)² + y²-8y = 0

Put the equation into center-radius form.

complete the square

 coefficient of the y term:  -8

 divide it in half: -4

 square it: (-4)² = 4²

 add 4² to both sides to complete the square and keep the equation balanced:

(x-6)² + (y²-8y+4²) = 4²

(x-6)² + ( y-4)² = 4²

center (6,4)

radius 4

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Answer:

<u>The correct answer is that each guest attending the event has to bring at least 5 cans of food to meet the goal</u>

Step-by-step explanation:

1. Let's review the information provided to us to answer the problem correctly:

Amount of food cans to collect by the end of the month = 1,000

Food cans collected as of today = 566

Number of guests attending the event = 87

2. Which solution set represents the number of cans each must bring to meet the goal?

For answering this question, we will use the following inequality:

x = Number of food cans that each guest has to bring to meet the goal

566 + 87x ≥ 1,000

Solving for x, we have:

87x ≥ 1,000 - 566

87x ≥ 434

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