Answer:
![AC = 20](https://tex.z-dn.net/?f=AC%20%3D%2020)
Step-by-step explanation:
Given
![AC = 2x + 8](https://tex.z-dn.net/?f=AC%20%3D%202x%20%2B%208)
![AB = 4x - 16](https://tex.z-dn.net/?f=AB%20%3D%204x%20-%2016)
![BC = 3x - 6](https://tex.z-dn.net/?f=BC%20%3D%203x%20-%206)
Required
Find AC
First, we need to solve for x
Since B is between A and C, then
![AC = AB + BC](https://tex.z-dn.net/?f=AC%20%3D%20AB%20%2B%20BC)
Substitute values for AC, AB and BC
![2x + 8 = 4x - 16 + 3x - 6](https://tex.z-dn.net/?f=2x%20%2B%208%20%3D%204x%20-%2016%20%2B%203x%20-%206)
Collect Like Terms
![2x - 4x - 3x = -16 - 6 - 8](https://tex.z-dn.net/?f=2x%20-%204x%20-%203x%20%3D%20-16%20-%206%20-%208)
![-5x = -30](https://tex.z-dn.net/?f=-5x%20%3D%20-30)
Divide through by -5
![\frac{-5x}{-5} = \frac{-30}{-5}](https://tex.z-dn.net/?f=%5Cfrac%7B-5x%7D%7B-5%7D%20%3D%20%5Cfrac%7B-30%7D%7B-5%7D)
![x = \frac{-30}{-5}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-30%7D%7B-5%7D)
![x = 6](https://tex.z-dn.net/?f=x%20%3D%206)
Substitute 6 for x in ![AC = 2x + 8](https://tex.z-dn.net/?f=AC%20%3D%202x%20%2B%208)
![AC= 2 * 6 + 8](https://tex.z-dn.net/?f=AC%3D%202%20%2A%206%20%2B%208)
![AC= 12 + 8](https://tex.z-dn.net/?f=AC%3D%2012%20%2B%208)
![AC = 20](https://tex.z-dn.net/?f=AC%20%3D%2020)
The result of our calculations about the rate and time are:
<h3>What is rate?</h3>
Rate can be regarded as the given object with respect to time.
falcon flies= 800,000 meters
t= 4 hours
We were given the formula as (d = rt)
d= distance
r = rate
t = time
We can make our calculations as:
part a:
r=d/t
part b:
falcon's rate in meters per hour = 800,000 meters / 4 hours = 200000m/hr
part c:
falcon's rate in kilometers per hour=(200000m/hr *(1/1000)=200km/hr
part d:
km/hr
Learn more about rate at:
brainly.com/question/8728504
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The answer to this question should be -82y
Answer:
yes
Step-by-step explanation:
according to me