Answer:
Step-by-step explanation:
The Law of Cosines is given as:
.
Plugging in given values, we get:
.
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Answer:
The given equation having only one solution i.e., "w = 3". A further explanation is provided below.
Step-by-step explanation:
The given equation is:
⇒
By opening the brackets, we get
⇒
⇒
On adding "83" both sides, we get
⇒
⇒
⇒
⇒
Answer:
Domain: (-∞, -2) U [-2, 1] U (1, ∞)
Range: (-∞, 2) U [-3, -∞)
Step-by-step explanation:
This function is composed of three polynomial functions, a positive slope line , whose domain is all real numbers, a horizontal line, and a negative slope line
whose domain is all real numbers.
Observe in the attached graph that the function has a discontinuity in x = -2, it has a jump.
When x approaches -2 by the left hand, y tends to 2. But when x approaches -2 from the right y tends to -3.
In addition, the function comes from -∞, then has a maximum value at y = 2 and finally derece up to -∞
Then we can conclude that for this piecewise function:
Domain: (-∞, -2) U [-2, 1] U (1, ∞) All Real Numbers
Range: (-∞, 2) U [-3, -∞)
