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:
It's J
Step by Step Explanation:
Answer: His lyrics feature internal rhyme
Step-by-step explanation:
Let the number be x.
9(1/4)+x=x/3+6
Simplify.
2.25+x=x/3+6
-6 -6
-3.75+x=x/3
•3 •3
-11.25+3x=x
-3x -3x
-11.26=-2x
5.625=x
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