Answer:
The best estimate for the average rate of change is
Step-by-step explanation:
we know that
the average rate of change using the graph is equal to
In this problem we have
Substitute
The quadrilateral shown is a (blank) x= (blank)
1 answer:
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Answer:
D
Step-by-step explanation:
Firstly, the question is phrased very very badly as the four answers provided are coordinate points rather than how far apart the cities are in units.
To calculate the distance between two points, we have to use Pythagoras' Theorem as it's just pretty much a right-angle triangle. Please look at the (terribly drawn) image provided.
Keep in mind that these points are only roughly placed on the map.
But firstly, to use Pythagoras' Theorem (a^2 + b^2 = c^2), we must find the length of the two sides.
To find the length of the horizontal line (which from now on I'll refer to as 'a'), we must subtract the smaller x value from the larger one.
47 - 35 = 12
To find the length of the vertical line (which from now on I'll refer to as 'b'), we must subtract the smaller y value from the larger one.
122 - 78 = 44
I assume that the answer you should pick is D. (12, 44)
However, that doesn't exactly answer the question... it's worded a little weirdly.
To solve the rest of the equation, do the following:
Now that we know that the length of a = 12 and the length of b = 44, we can use Pythagoras' Theorem.
a^2 + b^2 = c^2
12^2 + 44^2 = c^2
144 + 1936 = c^2
2080 = c^2
c =
c = 45.61
The answer is 45.61 units.
Answer:
Let the growth function that shows the population in millions after x years,
Where,
= initial population,
r = growth rate per year,
Suppose the population is estimated since 1950,
Thus, if x = 0, P = 2560,
Now, if x = 10 ( that is, on 1960 ), P = 3040,
Hence, the required function that shows the population after x years,
If x = 42,
The population in 1992 would be,
if x = 80,
The population in 2030 would be,