Answer: See each part below.
Part A: The y-intercept is the first value, or 12. That means that they bird is 12 miles from its nest when the time started.
Part B: The average rate of change is the slope. From 1 to 3 hours, the bird went from 20 to 36 or 16 miles. 16 miles in 2 hours is the same as 8 miles in 1 hour.
Part C: To find the extent of the domain, write and solve the following equation for 172 miles.
172 = 8x + 12
160 = 8x
20 = x
The domain will go up to 20 hours.
Answer:
1. 12/13 and 5/13
2. 5/13 and 12/13
3. The sin of <A and cos of <B are congruent.
Since "Sine" is Opposite/Hypotenuse and Cosine is adjacent hypotenuse...
The opposite of angle A is 12, and the hypotenuse is 12, therefore making 12/13.
The adjacent of angle B is 12, (The adjacent side is the side next to the opposite that is not the hypotenuse) and the hypotenuse is 13, therefore making 12/13. (The hypotenuse never changes no matter how you look at the triangle.)
Sin <A = 12/13
Cos <B= 12/13
Answer:5 milllion
And the minimum is 25
Step-by-step explanation:
The area of the trapeziod is 337.5
Answer:
It cannot be divided by any number and equal a whole number.
Step-by-step explanation:
Okay, so I'm going to give an example of the simplifying process.

If you were to just type this in to a calculator you would get 15.58 and so on, so that means we have to just simplify instead of solving for accuracy purposes.
So take 243 and divide it by a number that can go into it equally. I'm going use 3. When you do that you get 81. Usually when I do this I draw it out to better see it, so I'm going to try for you. The 3 is prime so we can't simplify that term anymore, but you can still simplify the 81, so that is what we do next. I'm going to use 3 to make it easier in the end results. Notice 3 is prime but 27 still is not, so we repeat this process again. I'm gonna stick with 3. Now simplify the 9.
243
3 81
3 27
3 9
3 3
For every pair of number we have that are the same we get to put one outside the sqareroot sign (I know that sounds confusing). Start by listing them like this.
3 x 3 x 3 x 3 x 3
Now organize into groups of two.
(3x3)(3x3)(3) Notice we have two groups that are paired. This means we can take two 3's and bring them outside the squareroot sign. Like this

The lone 3 just goes back in the squareroot. once you can't find a number to divide the number inside the sign by you have simplified the expression completely. Hope that makes some sense