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1 answer:
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For a hyperbola 
where
the directrix is the line
and the focus is at (0, c).
Here, we have c = 5, a² = 9, so b² = 5² - 9 = 16.
a = √9 = 3
b = √16 = 4
Your hyperbola's constants are ...
a = 3
b = 4
______
Please note that the equation of a hyperbola has a negative sign for one of the terms. The equation given in your problem statement is that of an ellipse.
where
the directrix is the line
and the focus is at (0, c).
Here, we have c = 5, a² = 9, so b² = 5² - 9 = 16.
a = √9 = 3
b = √16 = 4
Your hyperbola's constants are ...
a = 3
b = 4
______
Please note that the equation of a hyperbola has a negative sign for one of the terms. The equation given in your problem statement is that of an ellipse.
Answer:
4600
Step-by-step explanation:
There is a common difference d between consecutive terms in the sequence, that is
d = - 2 - (- 6) = 2 - (- 2) = 6 - 2 = 4
This indicates the sequence is arithmetic with sum to n terms
=
[ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
Here a₁ = - 6 and d = 4 , thus
=
[ (2 × - 6) + (49 × 4) ]
= 25(- 12 + 196)
= 25 × 184
= 4600