Answer:
Any terminating or repeating decimal that can be written as a fraction using algebraic methods
Step-by-step explanation:
a integer can be written as fraction simply by giving it a denominator so any integer is a rational number
Answer:
The lines are perpendicular
Step-by-step explanation:
Answer:
![\boxed{\pink{\sf Option \ (1) \ is \ correct . }}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cpink%7B%5Csf%20Option%20%5C%20%281%29%20%5C%20is%20%5C%20correct%20.%20%7D%7D)
Step-by-step explanation:
Given function to us is ,
And, we need to find the inverse of the equation.
So , for that firstly replace x with y . The equation becomes
Now , next we need to solve for y .
Now , replace y for ![f^{-1}(x)](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29)
![\underline{\boxed{\orange{\tt \implies f^{-1}(x) = \pm\sqrt{\dfrac{x-10}{5}}}}}](https://tex.z-dn.net/?f=%5Cunderline%7B%5Cboxed%7B%5Corange%7B%5Ctt%20%5Cimplies%20f%5E%7B-1%7D%28x%29%20%3D%20%5Cpm%5Csqrt%7B%5Cdfrac%7Bx-10%7D%7B5%7D%7D%7D%7D%7D)
As per the options provided in Question we can that option (1) mathces with our answer when we just interchanged the variables.
<u>Hence</u><u> </u><u>option</u><u> </u><u>(</u><u>1</u><u>)</u><u> </u><u>is</u><u> </u><u>corre</u><u>ct</u><u>.</u>
Answer:
sin(B) = 12/13
cos(B) = 5/13
tan(B) = 12/5
csc(B) = 13/12
sec(B) = 13/5
cot(B) = 5/12
Step-by-step explanation:
If ABC is a right triangle, assuming that ∠C = 90°, then the segment AB =13 is the hypotenuse and the other two sides are:
![BC = 5\\AC = \sqrt{13^2 - 5^2}\\AC = 12](https://tex.z-dn.net/?f=BC%20%3D%205%5C%5CAC%20%3D%20%5Csqrt%7B13%5E2%20-%205%5E2%7D%5C%5CAC%20%3D%2012)
The six trigonometric functions of angle B are:
![sin(B) =\frac{AC}{AB}= \frac{12}{13}\\cos(B) = \frac{BC}{AB} =\frac{5}{13}\\tan(B) = \frac{AC}{BC} =\frac{12}{5}\\\csc(B) =\frac{1}{sin(B)}= \frac{13}{12}\\sec(B) = \frac{1}{cos(B)} =\frac{13}{5}\\cot(B) = \frac{1}{tan(B)} =\frac{5}{12}\\](https://tex.z-dn.net/?f=sin%28B%29%20%3D%5Cfrac%7BAC%7D%7BAB%7D%3D%20%5Cfrac%7B12%7D%7B13%7D%5C%5Ccos%28B%29%20%3D%20%5Cfrac%7BBC%7D%7BAB%7D%20%3D%5Cfrac%7B5%7D%7B13%7D%5C%5Ctan%28B%29%20%3D%20%5Cfrac%7BAC%7D%7BBC%7D%20%3D%5Cfrac%7B12%7D%7B5%7D%5C%5C%5Ccsc%28B%29%20%3D%5Cfrac%7B1%7D%7Bsin%28B%29%7D%3D%20%5Cfrac%7B13%7D%7B12%7D%5C%5Csec%28B%29%20%3D%20%5Cfrac%7B1%7D%7Bcos%28B%29%7D%20%3D%5Cfrac%7B13%7D%7B5%7D%5C%5Ccot%28B%29%20%3D%20%5Cfrac%7B1%7D%7Btan%28B%29%7D%20%3D%5Cfrac%7B5%7D%7B12%7D%5C%5C)
Multiplying by 2 and dividing by 3 since in that expression to simplify it you could just put 18 on the numerator multiplying by two