SOLUTION: Write the standard equation for each Hyperbola. 1. x2 - 100y2 = 100 2. 4y2 - 25x2 = 100 3. vertices (-6, 0) ( 6, 0) and focus (-8, 0) ( 8, 0) 4. vertices ( 0, -12

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Write the standard equation for each Hyperbola. 1. x2 - 100y2 = 100 2. 4y2 - 25x2 = 100 3. vertices (-6, 0) ( 6, 0) and focus (-8, 0) ( 8, 0) 4. vertices ( 0, -12      Log On


   



Question 739678: Write the standard equation for each Hyperbola.
1. x2 - 100y2 = 100
2. 4y2 - 25x2 = 100
3. vertices (-6, 0) ( 6, 0) and
focus (-8, 0) ( 8, 0)
4. vertices ( 0, -12) ( 0, 12) and
co-vertices (-11, 0) (11, 0)

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Write the standard equation for each Hyperbola.
1. x^2 - 100y^2 = 100
Equation: x%2F100-y%5E2=1
..
2. 4y^2 - 25x^2 = 100
Equation: y%5E2%2F25-x%5E2%2F4=1
..
3. vertices (-6, 0) ( 6, 0) and
focus (-8, 0) ( 8, 0)
center:(0,0)
a=6
a^2=36
c=8
c^2=64
b^2=c^2-a^2=64-36=28
Equation: x%5E2%2F36-y%5E2%2F28=1
..
4. vertices ( 0, -12) ( 0, 12) and
co-vertices (-11, 0) (11, 0)
center:(0,0)
a=12
a^2=144
b=11
b^2=121
Equation: y%5E2%2F144-x%5E2%2F121=1