Answer:
14: 36
15: 17.5
16: 7.25
Step-by-step explanation:
Answer:
Step-by-step explanation:
The explicit formula for the nth term is a%5Bn%5D=216%2A%281%2F6%29% where n starts at n=1. The 16th term is when n = 16, so.
Answer:
Part 1)
-----> ![(x,\frac{\sqrt{110}}{11})](https://tex.z-dn.net/?f=%28x%2C%5Cfrac%7B%5Csqrt%7B110%7D%7D%7B11%7D%29)
Part 2)
---->
Part 3)
----> ![(x,\frac{5}{11})](https://tex.z-dn.net/?f=%28x%2C%5Cfrac%7B5%7D%7B11%7D%29)
Part 4)
---> ![(x,\frac{9}{11})](https://tex.z-dn.net/?f=%28x%2C%5Cfrac%7B9%7D%7B11%7D%29)
Step-by-step explanation:
we know that
In the unit circle
The coordinates of a point have the following rule
![x^{2} +y^{2} =r^{2}](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2By%5E%7B2%7D%20%3Dr%5E%7B2%7D)
where
(x,y) are the coordinates of the point a r is the radius
but remember that in a unit circle the radius is equal to 1
so
![x^{2} +y^{2} =1](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2By%5E%7B2%7D%20%3D1)
![x^{2}=1-y^{2}](https://tex.z-dn.net/?f=x%5E%7B2%7D%3D1-y%5E%7B2%7D)
![x=(+/-)\sqrt{1-y^{2}}](https://tex.z-dn.net/?f=x%3D%28%2B%2F-%29%5Csqrt%7B1-y%5E%7B2%7D%7D)
<em><u>Find the x-coordinate of each case</u></em>
Part 1) we have the point
![(x,\frac{\sqrt{110}}{11})](https://tex.z-dn.net/?f=%28x%2C%5Cfrac%7B%5Csqrt%7B110%7D%7D%7B11%7D%29)
so
The y-coordinate is
Find the value of the x-coordinate
substitute
![x=(+/-)\sqrt{1-(\frac{\sqrt{110}}{11})^{2}](https://tex.z-dn.net/?f=x%3D%28%2B%2F-%29%5Csqrt%7B1-%28%5Cfrac%7B%5Csqrt%7B110%7D%7D%7B11%7D%29%5E%7B2%7D)
![x=(+/-)\sqrt{1-(\frac{110}{121})](https://tex.z-dn.net/?f=x%3D%28%2B%2F-%29%5Csqrt%7B1-%28%5Cfrac%7B110%7D%7B121%7D%29)
![x=(+/-)\sqrt{\frac{11}{121})](https://tex.z-dn.net/?f=x%3D%28%2B%2F-%29%5Csqrt%7B%5Cfrac%7B11%7D%7B121%7D%29)
Part 2) we have the point
![(x,\frac{7}{11})](https://tex.z-dn.net/?f=%28x%2C%5Cfrac%7B7%7D%7B11%7D%29)
so
The y-coordinate is
Find the value of the x-coordinate
substitute
![x=(+/-)\sqrt{1-(\frac{7}{11})^{2}](https://tex.z-dn.net/?f=x%3D%28%2B%2F-%29%5Csqrt%7B1-%28%5Cfrac%7B7%7D%7B11%7D%29%5E%7B2%7D)
![x=(+/-)\sqrt{1-(\frac{49}{121})](https://tex.z-dn.net/?f=x%3D%28%2B%2F-%29%5Csqrt%7B1-%28%5Cfrac%7B49%7D%7B121%7D%29)
![x=(+/-)\sqrt{\frac{72}{121})](https://tex.z-dn.net/?f=x%3D%28%2B%2F-%29%5Csqrt%7B%5Cfrac%7B72%7D%7B121%7D%29)
Part 3) we have the point
![(x,\frac{5}{11})](https://tex.z-dn.net/?f=%28x%2C%5Cfrac%7B5%7D%7B11%7D%29)
so
The y-coordinate is
Find the value of the x-coordinate
substitute
![x=(+/-)\sqrt{1-(\frac{5}{11})^{2}](https://tex.z-dn.net/?f=x%3D%28%2B%2F-%29%5Csqrt%7B1-%28%5Cfrac%7B5%7D%7B11%7D%29%5E%7B2%7D)
![x=(+/-)\sqrt{1-(\frac{25}{121})](https://tex.z-dn.net/?f=x%3D%28%2B%2F-%29%5Csqrt%7B1-%28%5Cfrac%7B25%7D%7B121%7D%29)
![x=(+/-)\sqrt{\frac{96}{121})](https://tex.z-dn.net/?f=x%3D%28%2B%2F-%29%5Csqrt%7B%5Cfrac%7B96%7D%7B121%7D%29)
Part 4) we have the point
![(x,\frac{9}{11})](https://tex.z-dn.net/?f=%28x%2C%5Cfrac%7B9%7D%7B11%7D%29)
so
The y-coordinate is
Find the value of the x-coordinate
substitute
![x=(+/-)\sqrt{1-(\frac{9}{11})^{2}](https://tex.z-dn.net/?f=x%3D%28%2B%2F-%29%5Csqrt%7B1-%28%5Cfrac%7B9%7D%7B11%7D%29%5E%7B2%7D)
![x=(+/-)\sqrt{1-(\frac{81}{121})](https://tex.z-dn.net/?f=x%3D%28%2B%2F-%29%5Csqrt%7B1-%28%5Cfrac%7B81%7D%7B121%7D%29)
![x=(+/-)\sqrt{\frac{40}{121})](https://tex.z-dn.net/?f=x%3D%28%2B%2F-%29%5Csqrt%7B%5Cfrac%7B40%7D%7B121%7D%29)
Answer:
Answer:
x
=
26
5
Step-by-step explanation:
Answer:
y=-2x+17
Step-by-step explanation: