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For a vertical hyperbola:
For question 8: Given the vertices of the hyperbola: (-5,0) & (5,0) Recall that the vertices give coordinates (h +/- a, k) Since we now that the hyperbola is centered at the origin... than h,k = 0 So: a=5 Recall that the co-vertices give coordinates (h, b+/- k) If the co-vertices are (0, 6) & (0,-6) Than: \[\frac{ (x)^2 }{ 5^2 }-\frac{ (y)^2 }{ 6^2 }=1\] \[\frac{ (x)^2 }{ 25 }-\frac{ (y)^2 }{ 36 }=1\]
so the answer is D
yep for question 8. what do you think about question 9? @Theoneandonly
im guessing between A and D
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@Theoneandonly It's going to be a horizontal hyperbola. Foci... give you length c (5) Vertices... give you length a (4) So yep it's D :D
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