Answer:
12 yards=36 feet
Step-by-step explanation:
1 yard=3 feet
2 yards=6 feet
3 yards=9 feet
4 yards=12 feet
5 yards=15 feet
6 yards=18 feet
7 yards=21 feet
8 yards=24 feet
9 yards=27 feet
10 yards=30 feet
11 yards=33 feet
12 yards= 36 feet
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Answer:
![a_n=3n-12](https://tex.z-dn.net/?f=a_n%3D3n-12)
Step-by-step explanation:
We are given the recursive formula:
![a_n=a_{n-1}-4, a_1=15](https://tex.z-dn.net/?f=a_n%3Da_%7Bn-1%7D-4%2C%20a_1%3D15)
This is the recursive formula for an arithmetic sequence.
The explicit formula for an arithmetic sequence is given by:
![a_n=a_1 + d({n-1} )](https://tex.z-dn.net/?f=a_n%3Da_1%20%2B%20d%28%7Bn-1%7D%20%29)
Where d=3 is the common difference.
We plug in this values to get:
![a_n=15 + 3({n-1} )](https://tex.z-dn.net/?f=a_n%3D15%20%2B%203%28%7Bn-1%7D%20%29)
We now expand and simplify to get:
![a_n=15 + 3n-3](https://tex.z-dn.net/?f=a_n%3D15%20%2B%203n-3)
We simplify to obtain:
![a_n= 3n-12](https://tex.z-dn.net/?f=a_n%3D%203n-12)
The distance between the points is 16 units. This is because the right point is 14 units from the origin or 0, and the left point is 2 units away from the origin.
Add these together and you get 16
Answer:
1.5
Step-by-step explanation:
the slope is regarded as :
= ![\frac{y2-y1}{x2-x1}](https://tex.z-dn.net/?f=%5Cfrac%7By2-y1%7D%7Bx2-x1%7D)
this is also known as the <em>gradient </em>, meaning the differences of two y values divided by the differences of the two corresponding x values
take two values on the slope and put in the form ( x,y)
we shall use two points A and B
A = (80 , 100)
B = (20 , 10)
now use the formula:
![\frac{10-100}{20-80}](https://tex.z-dn.net/?f=%5Cfrac%7B10-100%7D%7B20-80%7D)
=![\frac{-90}{-60}](https://tex.z-dn.net/?f=%5Cfrac%7B-90%7D%7B-60%7D)
= ![\frac{3}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D)
also can be represented into an integer form
answer is <u>1.5</u>