A. Always because imagine a line where one is y=x and the other is y=-x+1. The point of intersection would be (1,1)
<h2>Hello!</h2>
The answer is:
Ava and Kelly will be 3/4 mile apart after 0.375 hours.
<h2>Why?</h2>
To calculate when will Ava and Kelly be 3/4 mile apart, we need to write the equations for both Ava's and Kelly's positions.
Writing the equations we have:
For Ava:

For Kelly:
We need to calculate when Kelly will be 3/4 mile apart becase is running faster than Ava, so, writing the equation we have:

Now, substituting the equation for Ava into the equation for Kelly, we have:



To prove that the result is correct, we just need to substitute the obtained value for time into both equations, so, substutiting we have:
For Ava:

For Kelly:

There is a difference of 0.75 miles or 3/4 mile between Ava and Kelly, so, the obtained value for time is correct.
Therefore, we have that Ava and Kelly will be 3/4 mile apart after 0.375 hours.
Have a nice day!
One barrel is equal to one cylinder. A cylinder consists of two faces which are circles and everything in between. The area of a circle is pi times radius squared. Using 3.14 as pi, multiply the square of the radius (9) by 3.14. You should get 28.26 . Multiply that because a cylinder consists of TWO circles as faces. That should be 56.52. To find the "wrap" or surface area of the space in between the circle, you need to find the circumference of the circle and multiply it by the height of the barrel (5ft). The circumference of a circle is pi (3.14) times diameter (6). The circumference of the barrel should be 18.84. Multiply that by the height and you should get 94.2. Now, take that number and add it to 56.52. The final answer would be 150.72
Answer:
A. f(x) = 2x + 1.
Step-by-step explanation:
5 = 2(2) + 1
11 = 2(5) + 1
17= 2(8) + 1
23 = 2(11) + 1
- so it is f(x) = 2x + 1.