What is the COEFFICIENT in the expression s + 16?
2 answers:
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The given equation is
From the given equation,
a = 40
b = 96
(h,k) = (0,0), the center
The vertices are at (0,96) and at (0, -96).
The curves open upward and downward.
c² = a² + b² = 40² + 96² = 10816
c = 104
Therefore the foci are at (0, -104) and (0, 104).
Check the given answers:
1. a focus at (104, 0) is INCORRECT
2. a focus at (0, -96) is INCORRECT
3. a vertex at (-40, 0) is INCORRECT
4. a vertex at (0, 96) is CORRECT
5. the center at (0, 0) is CORRECT
From the given equation,
a = 40
b = 96
(h,k) = (0,0), the center
The vertices are at (0,96) and at (0, -96).
The curves open upward and downward.
c² = a² + b² = 40² + 96² = 10816
c = 104
Therefore the foci are at (0, -104) and (0, 104).
Check the given answers:
1. a focus at (104, 0) is INCORRECT
2. a focus at (0, -96) is INCORRECT
3. a vertex at (-40, 0) is INCORRECT
4. a vertex at (0, 96) is CORRECT
5. the center at (0, 0) is CORRECT
Answer:
a) , b) $101
Step-by-step explanation:
Hermes: 8 envelopes, $218
Apollo: 5 envelopes, $521
If x is the amount in each envelope, H is the amount Hemes has and A is the amount Apollo has, this would be a possible system of equations.
If Apollo and Hermes both had the same amount of total money, A and H could equal y
We want to find the amount in each envelope (x), so we can substitute y in the first equation for y in the second equation:
Subtract from both sides
Subtract 218 from both sides
Divide both sides by 3
So there would have to be $101 in both envelopes for Apollo and Hermes to have the same amount of total money.