Hello,
Vertices are on a line parallele at ox (y=-3)
The hyperbola is horizontal.
Equation is (x-h)²/a²- (y-k)²/b²=1
Center =middle of the vertices=((-2+6)/2,-3)=(2,-3)
(h+a,k) = (6,-3)
(h-a,k)=(-2,-3)
==>k=-3 and 2h=4 ==>h=2
==>a=6-h=6-2=4 (semi-transverse axis)
Foci: (h+c,k) ,(h-c,k)
h=2 ==>c=8-2=6
c²=a²+b²==>b²=36-4²=20
Equation is:
Answer:
Step-by-step explanation:
Given
The bag contains 6 orange and 9 lime sweets
For both sweets of the same flavor, Jodi must either choose orange or lime
No. of ways it can be done is 
The total no of ways of selecting two sweets out of 15 is 
The probability that both sweets are the same flavor

Answer:
Actual length of wall = 30ft
Step-by-step explanation:
We have scale of a room as 3 inch for 5ft.
We can write scaling factor as:
Scaling factor = 3 /60 (Since 5ft = 60 inches )
Scaling factor = 1/20
Now,
a wall in the blueprint is 18inch.
So actual length of wall can be determined by dividing 18 inch by the scale factor.
i.e actual length of wall = 18 / scale factor = 18 / (1/20)
actual length of wall = 18* 20 = 360 inch = 30ft (Since 360 inch = 30ft)
Hence Actual length of wall = 30ft
I assume you mean
, and not
, since this doesn't satisfy the ODE.
Assume a second solution of the form
, where
is a function of
. Then


Substituting into the ODE gives







where we omit the second term because it's already accounted for by
.