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
Alex
3 years ago
14

What is the standard form of the ellipse equation

Mathematics
1 answer:
vlabodo [156]3 years ago
4 0

Answer: <em>The correct answer is in the first option.</em>

Step-by-step explanation:

Equation of an Ellipse

\dfrac{x^{2} }{a^{2} } +\dfrac{y^{2} }{b^{2} } =1\\\\25x^{2}  - 150x + 9y^{2}  = 0\\\\\text {Let's \: perform \: the \: transformations:}\\\\\dfrac{25x^{2} }{25 \cdot 9} -\dfrac{150x}{25 \cdot 9} +\dfrac{9y^{2} }{25 \cdot 9} =0\\\\\dfrac{x^{2} }{3^{2} } -\dfrac{6x}{3^{2} } +\dfrac{y^{2} }{5^{2} } =0\\\\\dfrac{x^{2} -6x}{3^{2} } +\dfrac{y^{2} }{5^{2} } +\dfrac{3^{2} }{3^{2} } -\dfrac{3^{2} }{3^{2} } =0\\\\\dfrac{x^{2} -6x+3^{2} }{3^{2} } +\dfrac{y^{2} }{5^{2} } =\dfrac{3^{2} }{3^{2} }

\dfrac{(x-3)^{2} }{3^{2} } +\dfrac{y^{2} }{5^{2} } =1

You might be interested in
Which numbers should go in the shaded overlap? <br> Factors of 30<br> Factors of 20
babymother [125]
Both of these numbers have 2 and 5 as their factors
5 0
3 years ago
Round 0.172 to the nearest hundredth.
aleksandr82 [10.1K]
It is <span>Round 0.172 to the nearest hundredth.</span>
8 0
3 years ago
Read 2 more answers
A candy store has 6 boxes of chocolates. Each box has 500 pieces How many pieces are there altogether in the 6 boxes?​
arsen [322]
Answer is 3,000 hope it helps
6 0
2 years ago
The average cost of an item is defined as the total cost to produce divided by the number produced.A shoe company that pays $240
nekit [7.7K]

Answer:

Step-by-step explanation:

Average cost = Total cost to produce / number of items produced

Fixed cost per year = $240,000

Variable cost = $3.50s

Where s = number of shoes produced

Total cost= fixed cost + variable cost

Total cost = $240,000 + $3.50s

When average cost = $7.50

Average cost = Total cost to produce / number of items produced

7.50 = $240,000 + $3.50s / s

Cross product

7.50s = $240,000 + $3.50s

Collect like terms

7.50s - 3.50s = 240,000

4s = 240,000

divide both sides by 4

s = 240,000 / 4

= 80,000

s = 80,000

5 0
3 years ago
Three yards of fabric will be cut into pieces so that each piece is 8 inches long . How many pieces can be cut
Ainat [17]
Four pieces can be cut <span />
5 0
3 years ago
Read 2 more answers
Other questions:
  • I need help with geometry question. Please see picture below
    12·1 answer
  • After playing 5 games, Kelly scored a total of 31 points. In her fifth game she scored 7 points. During each of the other four b
    5·1 answer
  • Find the value of x and y please
    5·1 answer
  • The graphs below have the same shape.what is the equation of the red graph?
    5·1 answer
  • What is it called when columns filled with pairs of numbers that have the same ratio
    9·1 answer
  • Which of the following is a difference of two squares?
    11·1 answer
  • Andre performs a 90-degree counterclockwise rotation of Polygon P and gets Polygon P’, but he does not say what the center of th
    6·2 answers
  • Which function is represented by the graph?
    14·1 answer
  • There are 15 female performers in a dance recital. The ratio of men to women is 4:5. How many men are in the dance recital?
    14·1 answer
  • N^2-n/3=7 complete the square
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!