For questions 1-3
2 answers:
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Answer:
The domain is the interval (-∞,∞)
The range is the interval [-4,∞)
Step-by-step explanation:
we have
This is the equation of a vertical parabola in vertex form
The vertex is the point (-4,-4)
The parabola open upward (because the leading coefficient is positive)
The vertex represent a minimum
The domain is the interval (-∞,∞)
so
The domain is all real numbers
The range is the interval [-4,∞)
so
The range is all real numbers greater than or equal to -4
Answer:
∠1 is supplementary to ∠3.
Step-by-step explanation:
Given information: ABCD is a parallelogram.
Prove: ∠1 is supplementary to ∠3.
Proof:
∠1 = ∠ADB
∠2 = ∠DBC
∠3 = exterior angle adjacent to angle D B C.
Statement Reason
∠2 is supplementary to ∠3 Linear pairs
m∠2+m∠3=180° Definition of supplementary angles
Alternative interior angles
m∠1+m∠3=180° Substitute property of equality
∠1 is supplementary to ∠3 Definition of supplementary angles
Hence proved.
