SOLUTION: Find the coordinates of the foci of the hyperbola: x^2/16 - y^2/4 = 1

Algebra.Com
Question 43767: Find the coordinates of the foci of the hyperbola: x^2/16 - y^2/4 = 1
Answer by Nate(3500)   (Show Source): You can put this solution on YOUR website!
x^2/16 - y^2/4 = 1
Transverse Axis: horizontal
Center: (0,0)
a = 4
b = 2
c^2 = a^2 + b^2
c = sqrt(16 + 4)
c = sqrt(20) = 2*sqrt(5)
Vertices: (-4,0) and (4,0)
Foci: (-2*sqrt(5),0) and (2*sqrt(5),0)

RELATED QUESTIONS

Find the center, vertices, foci, and asymptotes of the hyperbola. {{{(x+4)^2/16 -... (answered by lwsshak3)
Find the foci of the hyperbola. y^2/81-x^2/16=1 (answered by lynnlo)
Find the vertices,foci,and asymptotes of the hyperbola. Then sketch the graph... (answered by lwsshak3)
y^2/36-x^2/4=1. find the coordinates of the vertices and foci and the equations of the... (answered by lwsshak3)
The foci of a hyperbola x^2/16... (answered by akhilreddy90)
Find the vertices, foci, and the equations of the asymptotes of the hyperbola... (answered by MathLover1)
Find the center, vertices, and foci of the hyperbola. Graph the hyperbola.... (answered by ewatrrr)
Find the Vertices and the foci of the hyperbola.... (answered by lwsshak3)
The equation of a hyperbola is given by y^2/25 - (x-6)^2/144 = 1. a. Identify the... (answered by lwsshak3)