Ahyperbola has a center at the origin, a vertex at (9, 0), and a focus at (41, 0). what is the equation of the hyperbola?

a on edge

Step-by-step explanation:

just bc it is

The equation of hyperbola is

Where center is (h,k)

Vertex is(h+a,k)

SO if we compare the vertex with the vertex formula, we will get

And formula of focus is (h+c,k)

On comparing we will get

So we have h =0 , k=0, a=9, c=41

So the equation is

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2

answer: the resulting cross section is a rectangle. solution: a plane parallel to the base of a triangular prism will intersect a cross section that is the same shape as its bases. so the cross section is a triangle.

step-by-step explanation: