The answer is 7/1 which is just 7
Answer:
cos∅=-![\frac{\sqrt{85} }{11}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B85%7D%20%7D%7B11%7D)
tan∅ -![-\frac{6\sqrt{85} }{85}](https://tex.z-dn.net/?f=-%5Cfrac%7B6%5Csqrt%7B85%7D%20%7D%7B85%7D)
Step-by-step explanation:
sin∅ =![\frac{6}{11}](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B11%7D)
we know that
cos∅ =![\sqrt{1-sin^2∅ }](https://tex.z-dn.net/?f=%5Csqrt%7B1-sin%5E2%E2%88%85%20%20%7D)
plugging the value of sin∅ gives
![\sqrt{ 1-(\frac{6}{11})^2\sqrt{ 1-(\frac{36}{121})\\\sqrt{\frac{85}{121} } \\\frac{\sqrt{85} }{11\\}](https://tex.z-dn.net/?f=%5Csqrt%7B%201-%28%5Cfrac%7B6%7D%7B11%7D%29%5E2%5Csqrt%7B%201-%28%5Cfrac%7B36%7D%7B121%7D%29%5C%5C%5Csqrt%7B%5Cfrac%7B85%7D%7B121%7D%20%7D%20%5C%5C%5Cfrac%7B%5Csqrt%7B85%7D%20%7D%7B11%5C%5C%7D)
therefore cos∅=-![\frac{\sqrt{85} }{11}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B85%7D%20%7D%7B11%7D)
cos∅ is negative since sec∅ is negative
tan∅ = ![\frac{sin∅}{cos∅}](https://tex.z-dn.net/?f=%5Cfrac%7Bsin%E2%88%85%7D%7Bcos%E2%88%85%7D)
=![\frac{\frac{6}{11} }{\frac{\-sqrt{85} }{11} } \\](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7B6%7D%7B11%7D%20%7D%7B%5Cfrac%7B%5C-sqrt%7B85%7D%20%20%7D%7B11%7D%20%7D%20%5C%5C)
on simplifying it ,we get
=-![\frac{6}{\sqrt{85} }](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B%5Csqrt%7B85%7D%20%7D)
rationalizing it we get
-![-\frac{6\sqrt{85} }{85}](https://tex.z-dn.net/?f=-%5Cfrac%7B6%5Csqrt%7B85%7D%20%7D%7B85%7D)
The formula for slope is:
![\frac{y_{2}- y_{1} }{x_{2} -x_{1} }](https://tex.z-dn.net/?f=%5Cfrac%7By_%7B2%7D-%20y_%7B1%7D%20%7D%7Bx_%7B2%7D%20-x_%7B1%7D%20%7D)
(-5, 9) = ![(x_{1},y_{1} )](https://tex.z-dn.net/?f=%28x_%7B1%7D%2Cy_%7B1%7D%20%29)
(-5, -5) = ![(x_{2}, y_{2} )](https://tex.z-dn.net/?f=%28x_%7B2%7D%2C%20y_%7B2%7D%20%29)
so...
![\frac{-5 - 9}{-5 - (-5)}](https://tex.z-dn.net/?f=%5Cfrac%7B-5%20-%209%7D%7B-5%20-%20%28-5%29%7D)
![\frac{-14}{0}](https://tex.z-dn.net/?f=%5Cfrac%7B-14%7D%7B0%7D)
The slope is undefined because the points are vertical and have no run only a rise
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer: 6615
Step-by-step explanation:
Answer:
The slope of the line is 2
Step-by-step explanation:
In this problem you need to know rise over run. This means the slope goes up two and the over one. This makes the slope 2.