You'll want to work with the center-radius form of a circle equation for this. the center formula is <span>(x – h)</span>²<span> + (y – k)</span>²<span> = r</span>², where (h, k) is your center and r is your radius. plug in the information your circle gives you: A(-3, 12), radius = 5
(x + 3)² + (y - 12)² = (5)² ... simplify the right side
(x + 3)² + (y - 12)² = 25 ... from here, you need to foil both of your binomials to convert this to the "general form" that your answer choices are in.
(x + 3)² = (x + 3)(x + 3) = x² + 6x + 9
(y - 12)² = (y - 12)(y - 12) = <span>y² - 24y + 144
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x² + 6x + 9 + y² - 24y + 144 = 25 ... combine like terms
x² + 6x + y² - 24y + 153 = 25 ... subtract 25
x² + 6x + y² - 24y + 128 = 0 is your equation. reorder it so that it's from the highest degree to the lowest: x² + y² + 6x - 24y + 128 = 0 is your result (C).
use division;
82 ÷ 4 = 20.5
so 4 goes into 82 only 20 times evenly.
hope that helps :D
Answer:
If all of the sections are the same well it is 21
Step-by-step explanation:
35 x 3/5 = 21
Cross multiply. Distribute...
OH GOD IT'S A QUADRATIC
<em>(our equation is in ax² + bx + c = 0 form. a=3. b= -38. c= -8.
</em><em>plug these values into the quadratic formula and simplify.)</em>
Approximate values for x: -0.20714 or 12.874
