Answer:
The correct option is C.
Step-by-step explanation:
The given equation is
It can be rewritten as
.....(1)
The standard form of an ellipse is
....(2)
Where (h,k) is center of the ellipse.
If a>b, then the vertices of the ellipse are .
From (1) and (2) we get
Since a>b, therefore the vertices of the ellipse are
The vertices of the given ellipse are (10, –7) and (2, –7). Therefore the correct option is C.
Answer:
1/3
Step-by-step explanation:
The formula for computing the sum of an infinite geometric series is
where r is between -1 and 1 and is the common ratio, and is the first term of the series.
So let's plug in:
I multiplied bottom and top by 10.
I divided top and bottom by 3.
The sum is 1/3.
Answer:
Ratio of blue fish in the small tank to the red fish in large tank is 10 : 6279
Step-by-step explanation:
Let the number of red fish and blue fish in the large tank are x and y respectively.
Similarly ratio of red fish and blue fish in the small tank are x' and y' respectively.
Since in each tank ratio of the red fish to blue fish is 333 : 444
That means x : y = 333 : 444
Or
⇒
⇒ y = --------(1)
Similarly x' : y' = 333 : 444
⇒
⇒
⇒ x' = ------(2)
Ratio of the fish in large tank to the fish in small tank is 464646 : 555
So (x + y) : (x' + y') = 464646 : 555
Now we replace the values of x and y' from equation (1) and equation (2)
Therefore, ratio of blue fish in the small tank to the red fish in large tank is 10 : 6279
Supplementary means 180 degrees so your wuestion confused me but I think you mean what angle plus 149.9 degrees equals a supplementary angle, and if that is your question the equation is 180-149.9 so your answer is 30.1 degrees