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aashna66
03.04.2021 •
Mathematics
A hyperbola centered at the origin has verticies at (add or subtract square root of 61,0 and foci at (add or subtract square root of 98,0
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Ответ:
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:
Ответ:
7
Step-by-step explanation:
When solving, you can subtract 10.00 from 3.77.
10.00-3.77=6.23
Then, you can divide 6.23 and 0.89 to get 7.
hope that helps!