The foci of the hyperbola with equation 5y^2-4x^2=20 will be given as follows:
divide each term by 20
(5y^2)/20-(4x^2)/20=20/20
simplifying gives us:
y^2/4-x^2/5=1
This follows the standard form of the hyperbola
(y-k)²/a²-(x-h)²/b²=1
thus
a=2, b=√5 , k=0, h=0
Next we find c, the distance from the center to a focus.
√(a²+b²)
=√(2²+(√5)²)
=√(4+5)
=√9
=3
the focus of the hyperbola is found using formula:
(h.h+k)
substituting our values we get:
(0,3)
The second focus of the hyperbola can be found by subtracting c from k
(h,k-c)
substituting our values we obtain:
(0,-3)
Thus we have two foci
(0,3) and (0,-3)
Answer:
The number is 21.
Step-by-step explanation:
First you need to solve for n.
So the equation would be 2n = |5n-63|
First you'd subtract 5n from each side, that would give you -3n=|-63|
Then you need to divide each side by -3 to get n=21.
~~~~~
To check, you can just plug 21 back into the equation.
2(21) = |5(21) - 63|
42 = |105-63|
42 = |42|
42 = 42
Answer:
15$
Step-by-step explanation:
14=$6
35=6*35/14
15
Answer:
5x+3>4x+7
-4x -4x
x+3>7
-3 -3
x>4
so the answer will be the second
Step-by-step explanation:
Answer: 8.85km
Step-by-step explanation:
8,850m = 8,850 m⋅1 km / 1,000 m
