Multiple ChoiceGiven the hyperbola y2100−x2139=1\frac{y^2}{100}-\frac{x^2}{139}=1, find the length of the aa-axis and the bb-axis.
Multiple ChoiceFind the equation for a hyperbola with a center at (0,0)\left(0,0\right), focus at (0,−6)\left(0,-6\right) and vertex at (0,4)\left(0,4\right) .
Multiple ChoiceFind the equations for the asymptotes of the hyperbola x264−y2100=1\frac{x^2}{64}-\frac{y^2}{100}=1.
Open QuestionExplain why it is not possible for a hyperbola to have foci at (0,-2) and (0,2) and vertices at (0,-3) and (0,3).
Open QuestionGraph the hyperbola. Locate the foci and find the equations of the asymptotes. (x^2)/16 - y^2 = 1
Open QuestionGraph the hyperbola. Locate the foci and find the equations of the asymptotes. ((x-2)^2)/25 - ((y+3)^2)/16 = 1
Open QuestionFind the standard form of the equation of the hyperbola satisfying the given conditions. Foci: (-8,0), (8,0); Vertices: (-3,0), (3,0)