The left vertex, if the hyperbola opens horizontally, or the bottom vertex, if it opens vertically, is . the other vertex is ?

The center of the hyperbola is (-5,7). The bottom vertex is ( -5, 7 - 5 sqrt(10)). The other vertex is ( -5, 7 + 5 sqrt(10))

Step-by-step explanation:

The equation of the hyperbola is:

-(x+5)^2/9^2+(y-7)^2/13^2=1

This is the same that:

(y-7)^2/13^2-(x+5)^2/9^2=1

This equation has the form:

(y-k)^2/a^2-(x-h)^2/b^2=1

and the hyperbola opens vertically, then the coordinates of the bottom vertex are: (h,k-c). The other vertex is (h,k+c)

Comparing with the form:

-h=5→h=-5

k=7

a^2=13^2

b^2=9^2

c^2=a^2+b^2→c^2=13^2+9^2→c^2=169+81→c^2=250→sqrt(c^2)=sqrt(250)→

c=sqrt(25*10)→c=sqrt(25) sqrt(10)→c=5 sqrt(10)

The bottom vertex is: (h,k-c)=(-5, 7 - 5 sqrt(10))

The other vertex is: (h,k+c)=(-5, 7 + 5 sqrt(10))

the answer is a

step-by-step explanation:

because your just changing the position of where the shape is

chase is right because he already been to the swings and he know how far it will be to get there

step-by-step explanation: