Answer:
The correct answer is: ![( x + 4) ^ {2} + (y - 3) ^ {2} \leq 9](https://tex.z-dn.net/?f=%28%20x%20%2B%204%29%20%5E%20%7B2%7D%20%2B%20%28y%20-%203%29%20%5E%20%7B2%7D%20%5Cleq%20%209)
Step-by-step explanation:
The airport is located at the point (-4 , 3). Thus we can consider the center of the circle to be this particular point.
Since the noise can be heard till 3 miles away, this implies we can consider the radius of the circle to be 3.
We all know the general equation of circle with center at (
,
) with radius r is given by:
![(x - \alpha ) ^{2} + (y - \beta )^{2} = r^{2}](https://tex.z-dn.net/?f=%28x%20-%20%5Calpha%20%29%20%5E%7B2%7D%20%2B%20%28y%20-%20%5Cbeta%20%29%5E%7B2%7D%20%3D%20r%5E%7B2%7D)
Here the value of
is (-4) ; value of
is 3 ; and value of r is 3.
Now since the noise of landing and taking off of the planes would be within the circle, hence we use less than equal to (
) sign instead of equal to sign.
Thus the general equation of noise of the planes can be given by the inequality
![( x - (- 4)) ^ {2} + (y - 3) ^ {2} \leq 3^{2}\\= ( x + 4) ^ {2} + (y - 3) ^ {2} \leq 3^{2}](https://tex.z-dn.net/?f=%28%20x%20-%20%28-%204%29%29%20%5E%20%7B2%7D%20%2B%20%28y%20-%203%29%20%5E%20%7B2%7D%20%5Cleq%20%203%5E%7B2%7D%5C%5C%3D%20%28%20x%20%2B%204%29%20%5E%20%7B2%7D%20%2B%20%28y%20-%203%29%20%5E%20%7B2%7D%20%5Cleq%20%203%5E%7B2%7D)
Answer:
Milliliters to teaspoons (mL to tsp) converter, formulas and conversion table. ... 1 mL = 0.202884 tsp; 5 mL = 1.014 tsp; 10 mL = 2.028 tsp; 15 mL = 3.04
Step-by-step explanation:
hope it helps
1 inch = 0.0277778
1 * 46 = 46
0.0277778 x 46 = 1.27778
46 inches = 1.27778
Answer:
89
Step-by-step explanation:
Use the mean formula, mean = sum of elements / number of elements.
He wants to keep his average at 85 or higher, so plug in 85 as the mean. Let x represent the score he has to get, and solve for x:
mean = sum of elements / number of elements.
85 = (85 + 76 + 94 + 81 + x) / 5
85 = (336 + x) / 5
425 = 336 + x
89 = x
So, he has to get a 89.
Answer:
A
Step-by-step explanation:
Alright, this may come out weird on computer, but here we go.
First, you want to change this into a multiplication problem, with Keep change flip. So now it's (c^2-c-20/c^2-6c+5) * (3c-3/c^2-16). You then want to simplify some number down.
You can simplify the first part using the X game (not sure if you know this), but you put the c value at the top, and the B value at the bottom, and the two sides blank. These two values must add to equal the C value, but multiply to equal the B value, so you get -5 and 4 for the numerator of the top. Following this formula, and using difference of perfect squares, you'll end up with the following.
(c-5)(c+4)/(c-5)(c-1) * 3(c-1)/(c+4)(c-4)
You then need to cancel out your different groups, so you'll cancel out (c-5), (c+4), (c-1).
After all that, you'll end up with 3/c-4, so the answer is A.