1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Lana71 [14]
2 years ago
11

25x^2+9y^2+72y-81=0. Find the standard form of the equation by completing the square. Then identify and graph each conic.

Mathematics
1 answer:
olasank [31]2 years ago
8 0
          25x² + 9y² + 72y - 81 = 0
                   25x² + 9y² + 72y - 81 + 81 = 0 + 81
                                   25x² + 9y² + 72y = 81
                           25x² + 9(y² + 8y + 16) = 81 + 9(16)
                   25x² + 9(y² + 4y + 4y + 16) = 81 + 144
           25x² + 9(y(y) + 4(y) + 4(y) + 4(4)) = 225
                  25x² + 9(y(y + 4) + 4(y + 4)) = 225
                            25x² + 9(y + 4)(y + 4) = 225
                                     <u>25x²</u> + <u>9(y + 4)²</u> = <u>225</u>
                                     225         225       225
                                         <u> x²</u> + <u>9(y + 4)²</u> = 1
                                         25        25

The conic section is an ellipse.
You might be interested in
The distance between two locations, A and B, is calculated using a third location C at a distance of 15 miles from location B. I
Jobisdone [24]
We will first calculate ∠A:
∠∠A = 180° - ( 105° + 20 ° ) = 180° - 125° = 55°
Then we will use the Sine Law:
15 / sin 55° = AB / sin 20°
15 / 0.81915 = AB / 0.342
AB · 0.81915 = 15 · 0.342
AB · 0.81915 = 5.13
AB = 5.13 : 0.81915
AB = 6.26 ≈ 6.3 miles
Answer: The distance between the locations A and B is 6.3 miles.
4 0
3 years ago
Read 2 more answers
The area of the rectangular table is 18 square feet the width of the table is 3 ft what is its length
MrRa [10]

Answer:

Step-by-step explanation:

Okay, In solving to find the square feet of a rectangle, you need to know the length and the width to be able to get the answer. Length x Width = area. In this case you already know the area, so just reverse the steps. 18 Ft is the area and the width is 3ft, you’re just missing length. 18/3 = 6. 6ft is the length

6 0
2 years ago
A car dealership earns a portion of its profit on the accessories sold with a car. The dealer sold a Toyota Camry loaded with ac
WINSTONCH [101]
$24000/8 = $3000
The accessories cost $3000
4 0
3 years ago
Read 2 more answers
Tonya is 5 years older than Raul. Tonya is 16 years old. Solve the equation r+5=16 to find Raul's age.
AfilCa [17]

Answer:

he is 11 years old

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
will give brainliest The polygons are similar, but not necessarily drawn to scale. Find the value of x.
Serggg [28]

Answer:

I'm in eight grade so don't assume i'm right. But from looking at this. It looks like x-1=8 and y+1= 28. I'm only doing High School Math 1 in eight grade tho. So if i'm wrong i'm sorry

Step-by-step explanation:


3 0
3 years ago
Other questions:
  • Please help me with number 12!
    15·1 answer
  • Which property is demonstrated in the equation below? a • 0 = 0 additive identity multiplicative identity multiplicative propert
    10·1 answer
  • Pls help me with these math problems
    7·2 answers
  • Which expression can be used to find the surface area of the following square pyramid?
    14·1 answer
  • Complete the following statements.
    5·1 answer
  • What is 2y -5x +4=o in y intercept form?
    10·2 answers
  • HELP PLEASE!!!!!!!!!!!!!!
    13·1 answer
  • P{x:x is a natural number x (9​
    9·1 answer
  • a cost of a pen is unknown the cost of the notebook is 30 cents more than the pen mary brought 8 pens and 5 notebooks and spend
    5·1 answer
  • Use formulas to find the lateral area and surface area of the prism.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!