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3 years ago

Which conic section does this equation represent?

Mathematics

2 answers:

nadya68 [22]3 years ago

8 0

Answer:

Hyperbola

Step-by-step explanation:

$x^2-4x-y^2+6y-9=5$

Lets write variables in square form using completing the square method

LEts group x and y terms

$(x^2-4x)+(-y^2+6y)-9=5$

y^2 terms should be positive always, so we pull out negative sign from y^2

$(x^2-4x)-(y^2-6y)-9=5$

We have negative sign in the middle. so we will get equation in the form of

$\frac{(x-h)^2}{a^2} - \frac{(y-k)^2}{b^2} =1$

If we have negative sign in the middle then it is an hyperbola

tiny-mole [99]3 years ago

4 0

Answer:parabola

Step-by-step explanation:

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Read 2 more answers

Which function is graphed below? y=j3)

natita [175]

Answer:

$y = 3(\frac{1}{3} )^{x}$

Step-by-step explanation:

See the attached graph.

The points (0,3) and (1,1) are on the graph of the exponential function.

Let the function be $y = a(b)^{x}$ ....... (1)

Now, satisfying the point (0,3) we get from the equation (1),

$3 = a(b)^{0} = a$

Therefore, the initial value of the function is a = 3

Hence, the equation becomes $y = 3(b)^{x}$ ......... (2)

Now, satisfying the point (1,1) we get from equation (2)

$1 = 3 (b)^{1}$

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