Find the domain of f(x) = - squareroot x^2 - 4
1 answer:
Answer:
d. x ≥ 2 or x ≤ -2
Step-by-step explanation:
The domain is the set of all possible x-values that will make the function work.
For the function to work, the radicand cannot be negative.
x² - 4 ≥ 0
x² ≥ 4
x ≥ 2 -x ≥ 2
x ≤ -2
The domain is x ≥ 2 and x ≤ -2.
The graph of your function shows that ƒ(x) does not exist when -2 < x < 2.
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Find m∠BOC, if m∠MOP = 110°.
Answer:
m∠BOC= 40 degrees
Step-by-step explanation:
A diagram has been drawn and attached below.
- OM bisects AOB into angles x and x respectively
- ON bisects ∠BOC into angles y and y respectively
- OP bisects ∠COD into angles z and z respectively.
Since ∠AOD is a straight line
x+x+y+y+z+z=180 degrees
We are given that:
m∠MOP = 110°.
From the diagram
∠MOP=x+2y+z
Therefore:
x+2y+z=110°.
Solving simultaneously by subtraction
x+2y+z=110°.
We obtain:
x+z=70°
Since we are required to find ∠BOC
∠BOC=2y
Therefore from x+2y+z=110° (since x+z=70°)
70+2y=110
2y=110-70
2y=40
Therefore:
m∠BOC= 40 degrees
