Answer:
A
Step-by-step explanation:
b must always be greater than 0 since 12b-15 must always be greater than 21. You can simplify the ineqaulity to see things easier; 12b>36. Again, this ineqaulity can be simplified; b>3. A is the closest answer here, but there should be an open interval at 3 for A to be correct.
Answer:
X =8
EF=12
FG=17
Step-by-step explanation:
All you've got to do is write an equation. EX 2n-1
![{\qquad\qquad\huge\underline{{\sf Answer}}}](https://tex.z-dn.net/?f=%20%7B%5Cqquad%5Cqquad%5Chuge%5Cunderline%7B%7B%5Csf%20Answer%7D%7D%7D%20)
The given figure shows a vertical hyperbola with its centre at origin, and as we observe the figure, we can conclude that :
Length of transverse axis is :
![\qquad \sf \dashrightarrow \: 2b = 12](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3A%202b%20%3D%2012)
![\qquad \sf \dashrightarrow \: b = 6](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3A%20b%20%3D%206)
length of conjugate axis is :
![\qquad \sf \dashrightarrow \: 2a = 8](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3A%202a%20%3D%208)
![\qquad \sf \dashrightarrow \: a = 4](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3A%20a%20%3D%204)
Equation of hyperbola ~
![\qquad \sf \dashrightarrow \: \cfrac{ {y}^{2} }{ {b}^{2} } - \cfrac{ {x}^{2} }{ {a}^{2} } = 1](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3A%20%20%20%20%5Ccfrac%7B%20%7By%7D%5E%7B2%7D%20%7D%7B%20%7Bb%7D%5E%7B2%7D%20%7D%20-%20%5Ccfrac%7B%20%20%7Bx%7D%5E%7B2%7D%20%7D%7B%20%7Ba%7D%5E%7B2%7D%20%7D%20%20%3D%201)
plug in the values ~
![\qquad \sf \dashrightarrow \: \cfrac{ {y}^{2} }{ {6}^{2} } - \cfrac{ {x}^{2} }{ {4}^{2} } = 1](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3A%20%20%20%20%5Ccfrac%7B%20%7By%7D%5E%7B2%7D%20%7D%7B%20%7B6%7D%5E%7B2%7D%20%7D%20-%20%5Ccfrac%7B%20%20%7Bx%7D%5E%7B2%7D%20%7D%7B%20%7B4%7D%5E%7B2%7D%20%7D%20%20%3D%201)
![\qquad \sf \dashrightarrow \: \cfrac{ {y}^{2} }{ {36}^{} } - \cfrac{ {x}^{2} }{ {16}^{} } = 1](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3A%20%20%20%20%5Ccfrac%7B%20%7By%7D%5E%7B2%7D%20%7D%7B%20%7B36%7D%5E%7B%7D%20%7D%20-%20%5Ccfrac%7B%20%20%7Bx%7D%5E%7B2%7D%20%7D%7B%20%7B16%7D%5E%7B%7D%20%7D%20%20%3D%201)