Step-by-step explanation: its A. the denominator has to be the same as the hypotenuse
Sounds like rearranging to me:
P=2(a+b) -- expand brackets
P=2a+2b -- subtract 2a
P-2a=2b -- divide by 2
b=(P-2a)/2
Answer:
1.4% is the maximum acceptable annual rate of growth such that the population must stay below 24 billion during the next 100 years.
Step-by-step explanation:
We are given the following in the question:
The exponential growth model is given by:

where k is the growth rate, t is time in years and
is constant.
The world population is 5.9 billion in 2006.
Thus, t = 0 for 2006

We have to find the maximum acceptable annual rate of growth such that the population must stay below 24 billion during the next 100 years.
Putting these values in the growth model, we have,

1.4% is the maximum acceptable annual rate of growth such that the population must stay below 24 billion during the next 100 years.
Answer:
f(x) = - 4x² + 24x - 20
Step-by-step explanation:
Given
f(x) = - 4(x - 3)² + 16 ← expand the factor using FOIL
= - 4(x² - 6x + 9) + 16 ← distribute parenthesis by - 4
= - 4x² + 24x - 36 + 16 ← collect like terms
= - 4x² + 24x - 20