Answer:
AB = 7.07 units
BC = 8.06 units
AC = 12.04 units
Step-by-step explanation:
To find the length for each side of the triangle, apply the distance formula between each pair of vertices.
<u>AB</u>
<u />
<u>BC</u>
<u />
<u>AC</u>
If y varies directly with x and y = 20 when x = 2,
1 answer:
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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: