Refer from RD Sharma
RS Aggarwal or ask your teacher
Answer:
Step-by-step explanation:
Use the Law of Cosines to find the measure of angle A from the lengths of the sides.
A = arccos[(b²+c²-a²)/(2bc)] ≅ 29.9°
B = arccos[(a²+c²-b²)/(2ac)] ≅ 54.8°
C = 180 - A - B = 95.3°
Answer:
the last one (bottom right)
Step-by-step explanation:
4×pi is the same as twice around the whole circle to the beginning. it is the same as 0°, and cos(0) = 1, and then -2×cos(0) = -2
so, we only need to look, where the function reaches -2.
it should be at x = 0, x = 0.5 and x = 1.
Answer:
Step-by-step explanation:
The answer is B; 90°
ANSWER
Domain: All real numbers
Range:
![[2, \infty )](https://tex.z-dn.net/?f=%5B2%2C%20%20%5Cinfty%20%29)
EXPLANATION
The given function is
![y = 3 {x}^{2} - 6x + 5](https://tex.z-dn.net/?f=y%20%3D%203%20%7Bx%7D%5E%7B2%7D%20%20%20-%206x%20%20%2B%205)
To find the domain and range of the given function, we complete the square.
![y = 3 ({x}^{2} - 2x )+ 5](https://tex.z-dn.net/?f=y%20%3D%203%20%28%7Bx%7D%5E%7B2%7D%20%20%20-%202x%20%20%29%2B%205)
![y = 3 ({x}^{2} - 2x + 1) + 3( - 1)+ 5](https://tex.z-dn.net/?f=y%20%3D%203%20%28%7Bx%7D%5E%7B2%7D%20%20%20-%202x%20%20%20%2B%201%29%20%2B%203%28%20%20-%201%29%2B%205)
![y = 3 ({x - 1)}^{2} - 3+ 5](https://tex.z-dn.net/?f=y%20%3D%203%20%28%7Bx%20-%201%29%7D%5E%7B2%7D%20%20%20%20-%203%2B%205)
![y = 3 ({x - 1)}^{2} + 2](https://tex.z-dn.net/?f=y%20%3D%203%20%28%7Bx%20-%201%29%7D%5E%7B2%7D%20%20%20%2B%202)
The vertex is at (1,2).
The given function is a polynomial and all polynomial functions are defined everywhere.
The domain is all real numbers.
The parabola opens upwards and have vertex at (1,2). Hence the minimum y-value is 2.
The range is
![[2, \infty )](https://tex.z-dn.net/?f=%5B2%2C%20%20%5Cinfty%20%29)