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scZoUnD [109]
2 years ago
5

Need help with this algebra 2 question

Mathematics
1 answer:
loris [4]2 years ago
8 0

Answer:

Step-by-step explanation:

1

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Hi!

The equation of a circle is (x – h)² + (y – k)² = r², with (h, k) being the center, r being the radius, and x + y being left as just x and y.

If the smallest circle has a radius of 3 units, then the next one is 7 units (4 units greater), and then the second largest 11 units, and then the largest 15. That means, for r in our equation, we're going to put in 15.

So we get:

(x – h)² + (y – k)² = 15², or

(x – h)² + (y – k)² = 225

The center of our circle is at (-4, 3). That means h = -4 and k = 3 in our equation. So let's substitute that in.

(x – (-4))² + (y – 3)² = 225

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Hope this helped!

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