## anonymous 4 years ago Find the vertices and locate the foci for the hyperbola whose equation is given. 49x^2 - 100y^2 = 4900

1. anonymous

as this is a normal hyperbola, no translation, so to find the vertices, just find the x-intercept.

2. anonymous

then change the hyperbola to standard form and use "a" and "b" to find e. the foci are $$(\pm ae,0)$$

3. anonymous

|dw:1354622303936:dw|

4. anonymous

|dw:1354622474196:dw|

5. anonymous

|dw:1354622597920:dw|

6. anonymous

My options: A. vertices: ( -10, 0), ( 10, 0) ; foci: (-square root of 51, 0), (square root of 51, 0) B. vertices: ( -10, 0), ( 10, 0) ; foci: (-square root of 149, 0), (square root of 149, 0) C. vertices: ( -7, 0), ( 7, 0) ; foci: (-square root of 149, 0), (square root of 149, 0) D. vertices: (0, -10), (0, 10) ; foci: (0, -square root of 149), (0, square root of 149)

7. anonymous

I believe you've solved the intercepts?

8. anonymous

b

9. anonymous

thank you very much

10. anonymous

thanks sister

11. anonymous

ok sister.