Answer:
(x − 1)² + (y + 1)² = 18
Step-by-step explanation:
Equation of a circle is:
(x − h)² + (y − k)² = r²
where (h, k) is the center and r is the radius.
The center is (1, -1), so plugging that in:
(x − 1)² + (y + 1)² = r²
A point on the circle is (4, 2), so plugging that in:
(4 − 1)² + (2 + 1)² = r²
18 = r²
Therefore, the equation is:
(x − 1)² + (y + 1)² = 18
Answer:
-5
Step-by-step explanation:
We look at the number line and see where the dot is placed and that us is our answer
1) To calculate maximum of f(t) function we first need to find derivative of it:
f(t)' = 10(e^(-t/8) + t*e^(-t/8)*(-1/8)) = 10(e^(-t/8) -t/8*e^(-t/8)) = 10e^(-t/8)(1-t/8)
the condition is:
f(t)' = 0 that means:
0 = 10e^(-t/8)(1-t/8)
10t/8*e*(-t/8) = 10*e^(-t/8)
t/8 = 1
t = 8
The answer is 8 days.
2) that percent we will get simply by expressing t=8 in our equation.
f(8) = 10*8*e^(-1) = 80/e = 29.43%
151 because the a and the b are that number so the other number would need to add up so the answer is 151
