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Ksivusya [100]
2 years ago
12

Choose the letter of the equation from the drop down

Mathematics
1 answer:
UNO [17]2 years ago
5 0

After comparing with standard equations of the ellipse and hyperbola, we will get the center of the ellipse and hyperbola.

<h3>What is hyperbola?</h3>

It's a two-dimensional geometry curve with two components that are both symmetric. In other words, the number of points in two-dimensional geometry that have a constant difference between them and two fixed points in the plane can be defined.

Here the equation of the ellipse and hyperbola are not given.

As we know, the standard form of the ellipse:

\rm \dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2} = 1

Here (h, k) is the center of the ellipse.

If we compare with the standard equation center, we will get ellipse center.

The standard form of the hyperbola equation:

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

Here (h, k) is the center of the hyperbola.

Thus, after comparing with standard equations of the ellipse and hyperbola, we will get the center of the ellipse and hyperbola.

Learn more about the hyperbola here:

brainly.com/question/12919612

#SPJ1

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Find a cartesian equation for the curve. r = 9 sin(θ)
Paul [167]
For this case we have the following equation:
 r = 9 sin (θ)
 In addition, we have the following change of variables:
 y = r * sine (θ)
 Rewriting the equation we have:
 r = 9 sin (θ)
 r = 9 (y / r)
 r ^ 2 = 9y
 On the other hand:
 r ^ 2 = x ^ 2 + y ^ 2
 Substituting values:
 x ^ 2 + y ^ 2 = 9y
 Rewriting:
 x ^ 2 + y ^ 2 - 9y = 0
 Completing squares:
 x ^ 2 + y ^ 2 - 9y + (-9/2) ^ 2 = (-9/2) ^ 2
 Rewriting:
 x ^ 2 + 1/4 (2y-9) ^ 2 = 81/4
 4x ^ 2 + (2y-9) ^ 2 = 81
 Answer:
 
The Cartesian equation is:
 
4x ^ 2 + (2y-9) ^ 2 = 81
6 0
3 years ago
Y = 7x if y = 196 , what is x ?
katovenus [111]
X is 26

Just divide 196 by 7
5 0
3 years ago
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Select all the equations that have {4} as its solution set. 5 + 2x = 3x + 37−x=12x79−3x=12x+19x2+3=10x−21
Salsk061 [2.6K]

Answer:

Option 3 (79−3x=12x+19)

Step-by-step explanation:

When replacing x with 4 you will get the answer 67 = 67, which is true! The other three options are not true when replacing x with 4.

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The residents of a city voted on whether to raise property taxes. The ratio of yes to no votes was 5 to 6. If there were 5698 to
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After solving the system x+2y=10 and x-2y=2. What is the sum of x+y equal to?
Masja [62]

Answer:

The sum of x and y is 8.

Step-by-step explanation:

x+2y=10

x-2y=2

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2x = 12, so x = 6.  Substituting 6 for x in the 2nd equation, we get:

6 - 2y = 2, or

4 = 2y, or y = 2.  The solution is therefore (6, 2).

The sum of x and y is 6 + 2 = 8 (answer)

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3 years ago
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