Using the slope concept, it is found that the shuttle traveled 3.2 miles while Marion was watching.
<h3>What is a slope?</h3>
The slope is given by the <u>vertical change divided by the horizontal change</u>, and it's also the tangent of the angle of depression.
Initially, the angle of elevation is of 16º, with an elevation of 1 mi, hence:
![\tan{16^\circ} = \frac{1}{x_1}](https://tex.z-dn.net/?f=%5Ctan%7B16%5E%5Ccirc%7D%20%3D%20%5Cfrac%7B1%7D%7Bx_1%7D)
![x_1 = \frac{1}{\tan{16^\circ}}](https://tex.z-dn.net/?f=x_1%20%3D%20%5Cfrac%7B1%7D%7B%5Ctan%7B16%5E%5Ccirc%7D%7D)
![x_1 = 3.5](https://tex.z-dn.net/?f=x_1%20%3D%203.5)
Then, at the end, the angle will be of 74º, with the elevation remaining constant, hence:
![\tan{74^\circ} = \frac{1}{x_2}](https://tex.z-dn.net/?f=%5Ctan%7B74%5E%5Ccirc%7D%20%3D%20%5Cfrac%7B1%7D%7Bx_2%7D)
![x_2 = \frac{1}{\tan{74^\circ}}](https://tex.z-dn.net/?f=x_2%20%3D%20%5Cfrac%7B1%7D%7B%5Ctan%7B74%5E%5Ccirc%7D%7D)
![x_2 = 0.3](https://tex.z-dn.net/?f=x_2%20%3D%200.3)
The distance is:
![d = x_1 - x_2 = 3.5 - 0.3 = 3.2](https://tex.z-dn.net/?f=d%20%3D%20x_1%20-%20x_2%20%3D%203.5%20-%200.3%20%3D%203.2)
The shuttle traveled 3.2 miles while Marion was watching.
More can be learned about the slope concept at brainly.com/question/18090623
You can use the equation rise over Run you go up 4 and over 6 and you go down 2 and over 8 (im not sure if this helps)
Hey there!
Assuming you meant
![5r^2 - 12 = 68](https://tex.z-dn.net/?f=%205r%5E2%20-%2012%20%3D%2068%20%20)
If so, follow these steps so it can be a little bit easier to solve
Firstly, we have to
by
on each of your sides
![5r^2 -12 +12 \\ \\ 68 + 12](https://tex.z-dn.net/?f=%205r%5E2%20-12%20%2B12%20%5C%5C%20%5C%5C%2068%20%2B%2012%20%20)
![5r^2 = 5r^2 \\ \\ 68 + 12 = 80](https://tex.z-dn.net/?f=%205r%5E2%20%3D%205r%5E2%20%5C%5C%20%5C%5C%2068%20%2B%2012%20%3D%2080%20%20)
We get: ![5r^2 =80](https://tex.z-dn.net/?f=%205r%5E2%20%3D80%20%20)
Now, we have
by
on each of your sides
![\frac{5r^2}{5} = \frac{80}{5}](https://tex.z-dn.net/?f=%20%5Cfrac%7B5r%5E2%7D%7B5%7D%20%3D%20%5Cfrac%7B80%7D%7B5%7D%20%20)
![\frac{80}{5} = 16](https://tex.z-dn.net/?f=%20%5Cfrac%7B80%7D%7B5%7D%20%20%3D%2016%20%20)
We get: ![r^2 = 16](https://tex.z-dn.net/?f=%20r%5E2%20%3D%2016%20%20)
± ![\sqrt{16}](https://tex.z-dn.net/?f=%20%5Csqrt%7B16%7D%20%20)
Therefore , your answer is:
±![4](https://tex.z-dn.net/?f=%204%20%20)
Good luck on your assignment and enjoy your day!
~![LoveYourselfFirst:)](https://tex.z-dn.net/?f=%20LoveYourselfFirst%3A%29%20)
Answer:
A
Step-by-step explanation:
2x/x-1
Answer:
C. y= 6.18x + 10.9
Step-by-step explanation:
Every game that he plays (x) costs 6.18, for example, if he plays 3 games it would be 6.18 times 3 (games)
Now you have to add your admission, 10.9
To enter he needs to pay the admission ( 10.9 ) and also each game ( x ) he plays ( 6.18 )