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
</span>
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).
Answer:
200 trees
Step-by-step explanation:
Given that the temperature drops to 30 degrees F, the expected value in this situation is given by the probability of each tree sustaining damage (10%), multiplied by the total number of trees susceptible to damage (2,000 trees):
The mean number of trees showing damage is 200 trees.
Answer:
a) 16
b) Using is more accurate because it represents the exact and full value of pi, rather than an estimation or approximation like 3.14.
Step-by-step explanation:
The formula to find the volume of a cone is 
. We know the radius is 6, so all we need to find is the height, h. By using the Pythagorean theorem, we can see that the height is 
, or 8. Plugging in all the values into the formula gives us:
V = 
V = 16
Hope this helped! :)
