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kozerog [31]
2 years ago
11

Find the center, vertices, and foci of the ellipse with equation x squared divided by 81 plus y squared divided by 225 equals 1.

Mathematics
2 answers:
Aliun [14]2 years ago
6 0
To do this the equation must be put into standard form first.

Talja [164]2 years ago
5 0

Answer:

^2 / 81 + y^2 / 225 = 1

Step-by-step explanation:

You might be interested in
The three planes given meet at a point. The planes are 3x+y-2z = 11, 4x-2y+z = -5, x+5y-4z = 33. The intersection is at what poi
Mumz [18]

Answer:

(2, 7, 1)

Step-by-step explanation:

We have three equations, and using Gauss-Jordan Elimination, we can solve for x, y, and z

3x + y - 2z = 11

4x - 2y + z = -5

x + 5y - 4z = 33

We can start by taking out the z from all rows except one. To do this, we can work with the second row. I chose the second row because -5 is small and easy to add up with other numbers, and z has no coefficient in this row.

We can add 2 times the second row to the first row and 4 times the second row to the third row to get

11x - 3y = 1

4x - 2y + z = -5

17x -3y = 13

We then have the first and third rows having two variables. Since the y coefficients are the same, we can eliminate the y by adding the negative of the first row to the third row. Our result is then

11x - 3y = 1

4x - 2y + z = -5

6x = 12

From the third row, we can gather that x= 2. We can then plug that into the first row to get

22 -3y = 1

subtract 22 from both sides

-3y = -21

divide both sides by -3

y = 7

We can then plug our x and y values into the second row to get

4(2) - 2(7) + z = -5

8 - 14 + z = -5

-6 + z = -5

add 6 to both sides

z = 1

Our answer is thus (2, 7, 1)

7 0
2 years ago
Why do triangles interior angles sum to 180°?
Arte-miy333 [17]
A squares interior able sun is 360 and half of a square is a triangle making the interior angle also 180 because half of 360 is 180. Idk how else to answer this because it’s just something that we all know
4 0
2 years ago
What is the image point of (3,1) after a translation right 3 units and up 4 units
tamaranim1 [39]

Answer:

(7,4)

Step-by-step explanation:

all you do is add them together

5 0
3 years ago
Help me on this please !!
zaharov [31]

Step-by-step explanation:

Hey, there !!

It's simple lets get started with simple solution,

Given the sequences are,

10,8,6,4....

Then,

common diifference= 2

now, we have formula,

an = a1 + d(n - 1)

or \:  an= 10 + 2(n - 1)

or \: an \:  = 10 + 2n - 2

an \:  = 2n + 8

or \: an = 2(n + 4)

Therefore, The answer is an = 2( n+4) or, 10+2(n-1)...

{ note: 2(n+4) is simplified form of 10 +2(n-1).}

<em><u>Hope it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

3 0
3 years ago
Are the two lines x+2y=7 and 2x+4y=21 parallel or perpendicular?
Nezavi [6.7K]

Answer:

They are parallel

Step-by-step explanation:

8 0
2 years ago
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