Answer:
Step-by-step explanation:
A. Directrix: y = 4-6 = -2
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B. Axis of symmetry: x = 6
Axis of symmetry intersects directrix at (6,-2)
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C . Vertex is halfway between focus and directrix, at (6,1)
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D. The focus lies above the directrix, so the parabola opens upwards.
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E. Focal length p = 1/(4×0.5)
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F. p = 0.5
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G. y = 0.5(x-6)² + 1
Answer:
1,007 calories in total
Step-by-step explanation:
Answer:
C.) In perfect health.
Step-by-step explanation:
Given an average weight of 15kg and a standard deviation of 3kg for children of 4 years. Since the weight is based on a normal Z - distribution of 95% which is mean ± 2(standard deviations)
Mean weight interval is :
15 - 2(3) ; 15 + 2(3)
(9 ; 21) ; this weight interval could be interpreted to mean the normal or perfect weight value.
Therefore, given that the child weighs 12kg
Since, 12 kg falls within in the interval, we can conclude that the child is in perfect health.
The velocity of the particle is given by

Since
and
, we get


Similarly, the position function is obtained via

We know
and we're told that
, so


making the answer A.