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lapo4ka [179]
3 years ago
8

Which equation represents the hyperbola (y -2)^2/4 - (x-2)^2/9=1 in general form?

Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
5 0

Answer:

9y^2-4x^2-36y+16x-16=0

Step-by-step explanation:

The given hyperbola has equation:

\frac{(y-2)^2}{4}-\frac{(x-2)^2}{9}=1

We multiply through by 36 to get:

9(y-2)^2-4(x-2)^2=36

We expand to get:

9(y^2-4y+4)-4(x^2-4x+4)=36

9y^2-36y+36-4x^2+16x-16=36

9y^2-36y-4x^2+16x-16=0

The equation of the hyperbola in general form is:

9y^2-4x^2-36y+16x-16=0

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Find the domain and range please!
kirza4 [7]

Answer:

domain: -2 < x < 4

range: -∞ < y < 9

Step-by-step explanation:

domain: because the domain is all of the x-values, just look for the furthest one to the left, which is -2, and then look for the one that is furthest to the right, it being 4.

range: because the quadratic function has the two arrows continuing downwards, toward the negative portion of the graph, it would be -∞. Then look for the maximum of the graph, which would be considered the most highest part of the graph, which is seen on the graph as 9.

7 0
3 years ago
Determine the median 14,15,27,21,25,16,13​
aksik [14]
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3 years ago
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The sides of a rectangle are 3t - 2 and 5t + 7. Write an expression for the perimeter of the rectangle.
natka813 [3]
How does this have anything to do with factoring?
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6 0
4 years ago
What is the slope of the line?
Vikki [24]

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2

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3 0
3 years ago
4. Write an equation of a line that passes<br> through the points (-5, -11) and (-2,1).
Vladimir [108]

Answer:

y=4x+9

Step-by-step explanation:

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