Answer:
- Railway lines are example of parallel lines
- The floor and the walls of a room are example of perpendicular lines
- Two roads crossing at a signal can be termed as example of intersecting lines
Step-by-step explanation:
The lines can be related in following three ways
- Lines can be parallel
- Lines can be perpendicular
- Lines can be intersecting at an angle other than 90.
Now three real life examples of above three scenarios are described below:
- Railway lines are example of parallel lines
- The floor and the walls of a room are example of perpendicular lines
- Two roads crossing at a signal can be termed as example of intersecting lines
Answer:
The water temperature that produces the maximum number of salmon swimming upstream is approximately 12.305 degrees Celsius.
Step-by-step explanation:
Let
, for
.
represents the temperature of the water, measured in degrees Celsius, and
is the number of salmon swimming upstream to spawn, dimensionless.
We compute the first and second derivatives of the function:
(Eq. 1)
(Eq. 2)
Then we equalize (Eq. 1) to zero and solve for
:

And all roots are found by Quadratic Formula:
, 
Only the first root is inside the given interval of the function. Hence, the correct answer is:

Now we evaluate the second derivative at given result. That is:


According to the Second Derivative Test, a negative value means that critical value leads to a maximum. In consequence, the water temperature that produces the maximum number of salmon swimming upstream is approximately 12.305 degrees Celsius.
Answer: (8, 45)?
Step-by-step explanation: