2m-8-m+10 solve it.
1 answer:
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Answer:
x = 14
Step-by-step explanation:
As we can see that the bottom side is equivalent to 3 of the smallest triangle and the side of the larger triangle is equivalent to the 9
This represents that it is dilated by 3 factor
So
= 3 × 3
= 9
Now the other side i.e. 5 of the smallest triangle also need to be dilated by a 3 factor
So the new side is 15
Also the largest triangle is x + 1
So,
15 = x + 1
x = 14
This problem can be solve by graphing (technology), as suggested.
The answer is posted as an attached image. We see that after about 14.75 years, the invading species will surpass the indigenous population.
If it needs to be solved mathematically and accurately, the math is a little more advanced, using the bisection method, or Newton's method.
However, we can also do that by trial and error, starting from 14.75. It is easier than you might think.
Post if you would like to have more information on one or the other methods.
Note: the scale of y has been shrunk by 1000, so each unit on the y-axis represents 1000 frogs.
The answer is posted as an attached image. We see that after about 14.75 years, the invading species will surpass the indigenous population.
If it needs to be solved mathematically and accurately, the math is a little more advanced, using the bisection method, or Newton's method.
However, we can also do that by trial and error, starting from 14.75. It is easier than you might think.
Post if you would like to have more information on one or the other methods.
Note: the scale of y has been shrunk by 1000, so each unit on the y-axis represents 1000 frogs.