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
(x + 4)² + (y - 3)² = 225 is our final equation.
Hope this helped!
Answer:
N=55
Step-by-step explanation:
Ⓗⓘ ⓣⓗⓔⓡⓔ
Well, based on what you know, this side needs to be larger than 48, but smaller than 73. The only option is N=55.
(っ◔◡◔)っ ♥ Hope this helped! Have a great day! :) ♥
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600 becuase 90/.30= 300 and 300*2 =600
Answer:
(6x² - 5)(x² + 2)
Step-by-step explanation:
Given
6
- 5x² + 12x² - 10 ( factor the first/second and third/fourth terms )
= x²(6x² - 5) + 2(6x² - 5) ← factor out (6x² - 5) from each term
= (6x² - 5)(x² + 2)
<span>By the Pythagorean theorem
AB = </span>√(12²+5²) = √169 = 13 units
