Answer: D) (x + 3)² + (y + 5)² = 16
<u>Step-by-step explanation:</u>
The equation of a circle is: (x - h)² + (y - k)² = r²
where (h, k) = center and r = radius
Given: (h, k) = (-3, -5) r = 4
Equation: (x - (-3))² + (y - (-5))² = 4²
(x + 3)² + (y + 5)² = 16
Answer:
1.25
Step-by-step explanation:
The bag of chips is worth the same as the entire purchase minus the soda.
Therefore the chips are worth 3 - 1.75 = 1.25
Answer:
10x + 8y - 2
Step-by-step explanation:

We have to use the function A(t)= a(1 +/- r)^t
So A is going to be the answer- the area after 8 years. t is going to be 8, because t is time. a is 2400 because that's the starting value. Finally, we're going to turn 5.75% into it's decimal form of .0575. That's going to be r, and because the area is decreasing, we will subtract r from 1.
Our new function is:
A=2400(1-.0575)^8
Simplify a little bit.
A=2400(.9425)^8
Bring .9425 to to power of 8 and then multiply by 2400 because PEDMAS.
A=1494.38366866
The rounded answer is 1494 kilometers squared.
First differences are -9, +18, -8, +16, suggesting that the next ones will be -7, +14.
Hence, the next two terms might be expected to be 13, 27.