Complete the table below
1 answer:
Answer:
See the explanation.
Step-by-step explanation:
Given number, factorization and exponent. We need to fill the table.
See when factored it will give us
. Also, the exponent will be
And when we multiply we get
so the number will be
. Also, the exponent will be
.
Similarly when we simplify it will get factor form
and the number will be
.
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Answer:
Step-by-step explanation:
The standard equation of a hyperbola is given by:
where (h, k) is the center, the vertex is at (h ± a, k), the foci is at (h ± c, k) and c² = a² + b²
Since the hyperbola is centered at the origin, hence (h, k) = (0, 0)
The vertices is (h ± a, k) = (±√61, 0). Therefore a = √61
The foci is (h ± c, k) = (±√98, 0). Therefore c = √98
Hence:
c² = a² + b²
(√98)² = (√61)² + b²
98 = 61 + b²
b² = 37
b = √37
Hence the equation of the hyperbola is: