Question

2) d the intercepts and domain and perform the symmetry test on each of the following hyperbolas ph the vertices, foci, endpoints of the conjugate axis, fundamental rectangle, and asymptotes, draw the hyperbola for each equation in problem 1. - 10 - 144 4100 31 (d) 25x - 36900 on + 16v 144 (1) 25x + 4y - 100 (h) x 4y - 16 . chord of the partial hyperbola with egunin m Find the length of AB using

Answer 1

we have the equation

$9x^2-16y^2=144$

Simplify, divide both sides by 144

$\begin{gathered} \frac{9}{144}x^2-\frac{16}{144}y^2=\frac{144}{144} \\ \\ \frac{x^2}{16}-\frac{y^2}{9}=1 \end{gathered}$

we have

a^2=16

a=4

b^2=9

b=3

using a graphing tool

Find the foci

c^2=a^2+b^2

c^2=16+9

c^2=25

c=5