Answer:
See below
Step-by-step explanation:
The graph is formed from f(x) = |x|.
f(x) = |x| is shaped like a V with the vertex at the origin and the slope of each arm = 1. Then f(x) = |x + 3| will have the same shape but will be moved 3 units to the left so the vertex is at (-3,0). The - 1 ( to give f(x) = |x + 3| - 1) translates the whole graph 1 unit down so the vertex is at the point (-3, -1).
The domain is All Real x and the range = All real values of f(x)
equal or greater than -1.
Answer:
The angles of the triangle are approximately 87.395º, 57.271º and 35.334º.
Step-by-step explanation:
From statement we know all sides of the triangle (
, 
, 
), but all angles are unknown (
, 
, 
). (Please notice that angles with upper case letters represent the angle opposite to the side with the same letter but in lower case) From Geometry it is given that sum of internal angles of triangles equal 180º, we can obtain the missing information by using Law of Cosine twice and this property mentioned above.
If we know that 
, 
and 
, then the missing angles are, respectively:
Angle A
(1)
![A = \cos^{-1}\left[\frac{16^{2}+11^{2}-19^{2}}{2\cdot (16)\cdot (11)} \right]](https://tex.z-dn.net/?f=A%20%3D%20%5Ccos%5E%7B-1%7D%5Cleft%5B%5Cfrac%7B16%5E%7B2%7D%2B11%5E%7B2%7D-19%5E%7B2%7D%7D%7B2%5Ccdot%20%2816%29%5Ccdot%20%2811%29%7D%20%5Cright%5D)
Angle B
(2)
![B = \cos^{-1}\left[\frac{19^{2}+11^{2}-16^{2}}{2\cdot (19)\cdot (11)} \right]](https://tex.z-dn.net/?f=B%20%3D%20%5Ccos%5E%7B-1%7D%5Cleft%5B%5Cfrac%7B19%5E%7B2%7D%2B11%5E%7B2%7D-16%5E%7B2%7D%7D%7B2%5Ccdot%20%2819%29%5Ccdot%20%2811%29%7D%20%5Cright%5D)
Angle C
The angles of the triangle are approximately 87.395º, 57.271º and 35.334º.
Answer:
Need to see question
Step-by-step explanation:
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