If 1-x/x+1 is undefined then the bottom number must be 0
set
x+1=0
x=-1
Csc(x)*sec(x)-tan(x)
= (1/cos)(1/sin) - sin/cos
= 1/cos (1/sin - sin)
= 1/cos([1-sin^2)/sin])
= 1/cos(cos^2/sin)
= cos/sin = cot
You would solve this using geometric mean.
x/5=26/x
x^2=130
x= the square root of 130 or it is about 11.40175......
Answer:
![\boxed{ x = \sqrt{8.5} }](https://tex.z-dn.net/?f=%5Cboxed%7B%20x%20%3D%20%5Csqrt%7B8.5%7D%20%7D)
Step-by-step explanation:
<em>Hey there!</em>
<em />
Irrational numbers are numbers that cannot be expressed as fractions.
![\sqrt{8.5}](https://tex.z-dn.net/?f=%5Csqrt%7B8.5%7D)
=2.915475947422650235437076438772791538260699167442985977225003372433905030998356313832620163226517699278394811037677455675906936808085403142951613039412223590832527179885119634084324188271634828210865
The shown decimal goes on for 200 digits.
And it cannot be put into fraction form, meaning it is irrational.
<em>Hope this help :)</em>
Use the distance formula.
The distance, d, between points
and
![(x_2, y_2)](https://tex.z-dn.net/?f=%20%28x_2%2C%20y_2%29%20)
is given by the distance formula below.
![d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}](https://tex.z-dn.net/?f=%20d%20%3D%20%5Csqrt%7B%28x_2%20-%20x_1%29%5E2%20%2B%20%28y_2%20-%20y_1%29%5E2%7D%20)
Now we can apply the formula to your points.
Let Point 1 be (2, 3) and Point 2 be (5, -4).
Then you have
![x_1 = 2~~~~y_1 = 3~~~~x_2 = 5~~~~y_2 = -4](https://tex.z-dn.net/?f=%20x_1%20%3D%202~~~~y_1%20%3D%203~~~~x_2%20%3D%205~~~~y_2%20%3D%20-4%20)
![d = \sqrt{(5 - 2)^2 + (-4 - 3)^2}](https://tex.z-dn.net/?f=%20d%20%3D%20%5Csqrt%7B%285%20-%202%29%5E2%20%2B%20%28-4%20-%203%29%5E2%7D%20)
![d = \sqrt{(3)^2 + (-7)^2}](https://tex.z-dn.net/?f=%20d%20%3D%20%5Csqrt%7B%283%29%5E2%20%2B%20%28-7%29%5E2%7D%20)
![d = \sqrt{9 + 49}](https://tex.z-dn.net/?f=%20d%20%3D%20%5Csqrt%7B9%20%2B%2049%7D%20)
![d = \sqrt{58}](https://tex.z-dn.net/?f=%20d%20%3D%20%5Csqrt%7B58%7D%20)
Answer: the distance is sqrt(58)