Answer:
See Explanation
Step-by-step explanation:
Your question is incomplete, as the equations or graph or table(s) were not given.
However, I'll give a general way of solving this.
Take for instance, the equations are:
![y = \frac{4}{3}x - 1](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B4%7D%7B3%7Dx%20-%201)
![y = \frac{2}{3}x - \frac{1}{2}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B2%7D%7B3%7Dx%20-%20%5Cfrac%7B1%7D%7B2%7D)
To do this, we start by equating both equations.
![y = y](https://tex.z-dn.net/?f=y%20%3D%20y)
i.e.
![\frac{4}{3}x - 1= \frac{2}{3}x - \frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B3%7Dx%20-%201%3D%20%5Cfrac%7B2%7D%7B3%7Dx%20-%20%5Cfrac%7B1%7D%7B2%7D)
Collect Like Terms
![\frac{4}{3}x - \frac{2}{3}x= 1 - \frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B3%7Dx%20-%20%5Cfrac%7B2%7D%7B3%7Dx%3D%201%20-%20%5Cfrac%7B1%7D%7B2%7D)
Take LCM
![\frac{4x- 2x}{3}= \frac{2 - 1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B4x-%202x%7D%7B3%7D%3D%20%5Cfrac%7B2%20-%201%7D%7B2%7D)
![\frac{2x}{3}= \frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B2x%7D%7B3%7D%3D%20%5Cfrac%7B1%7D%7B2%7D)
Cross Multiply
![2x * 2 = 3 * 1](https://tex.z-dn.net/?f=2x%20%2A%202%20%3D%203%20%2A%201)
![4x = 3](https://tex.z-dn.net/?f=4x%20%3D%203)
Make x the subject
![x = \frac{3}{4}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B3%7D%7B4%7D)
Substitute 3/4 for x in ![y = \frac{4}{3}x - 1](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B4%7D%7B3%7Dx%20-%201)
![y = \frac{4}{3} * \frac{3}{4} - 1](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B4%7D%7B3%7D%20%2A%20%5Cfrac%7B3%7D%7B4%7D%20-%201)
![y = 1 - 1](https://tex.z-dn.net/?f=y%20%3D%201%20-%201)
![y = 0](https://tex.z-dn.net/?f=y%20%3D%200)
Hence:
![(x,y) = (\frac{3}{4},0)](https://tex.z-dn.net/?f=%28x%2Cy%29%20%3D%20%28%5Cfrac%7B3%7D%7B4%7D%2C0%29)
Answer:
133°
Step-by-step explanation:
As vertically opposite angles are equal,
< B E D = < F E G
Therefore,
< B E D = 47°
We know that co - interior angles which occur between 2 parallel lines, are added up to 180°.
Given that, < A B E = x
Therefore,
< B E D + < A B E = 180 °
47 + x = 180
x = 180 - 47
x = 133°
Let me know if you have any other questions. :)
Answer:
8, 133, 47, 43, 90 (remember to put degree symbols!)
Step-by-step explanation:
i added all of the work and explanations in this files! if you still have questions feel free to comment or message :)
The equation is actually
![h(t)=-16t^2+1437](https://tex.z-dn.net/?f=h%28t%29%3D-16t%5E2%2B1437)
. Free fall is always -16t^2 as the position function. We are looking for how long it takes the object to hit the ground. In other words, the height of an object is 0 when it is laying on the ground, so how long (t) did it take to get there? We will then set that position equal to 0 and solve for t.
![0=-16t^2+1437](https://tex.z-dn.net/?f=0%3D-16t%5E2%2B1437)
. If we subtract 1437 from both sides and divide by -16, we have
![t^2=89.8125](https://tex.z-dn.net/?f=t%5E2%3D89.8125)
. Taking the square root of both sides gives us, rounded to the nearest tenth, t = 9.5 or t=-9.5. The 2 things in math that will never EVER be negative are time and distance/length, so -9.5 is out. That means that it took just about 9.5 seconds for the object to fall to the ground from a height of 1437 feet when pulled on by the force of gravity.