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
The Great Wall is more than 20,000 kilometers long about 3/4 of it is considered properly preserved
yaroslaw [1]
97. The great wall is more than 20 000 kilometers long. And about ¾ of it is considered as properly preserved. I guess you are asking about the value of ¾ which is properly preserved in the said length of the great wall. => ¾ = 0.75 Thus, the formula would be like this: => 20 000 * .75 = 15 000 Thus, the ¾ value of great wall that is preserved is equals to 15 000 kilometers long,
7 0
3 years ago
What is the value of sec theta given the diagram below?
marishachu [46]

Answer:

\sec \theta=-\sqrt{5}

Step-by-step explanation:

The hypotenuse is h^2=6^2+3^2

h^2=36+9

h^2=45

h=\sqrt{45}

h=3\sqrt{5}

The terminal side of \theta is in the second quadrant.

In this quadrant; the secant ratio is negative.

\sec \theta=-\frac{hypotenuse}{adjacent}

\sec \theta=-\frac{3\sqrt{5}}{3}

\sec \theta=-\sqrt{5}

6 0
3 years ago
Read 2 more answers
Convert the following fractions to decimals. 1/8 1/9 2/3 4/7 3/10 5/3 9/5 5/6
il63 [147K]

Answer:

1/8 = 0.125

1/9 = 0.1

2/3 = 0.6

4/7 = 0. 571428

3/10 = 0.3

5/3 = 1.6

9/5 = 1.8

5/6 = 0.83

8 0
3 years ago
What is the answer for this problem
Lorico [155]
9 + 15 / 5 x 13 =
9 + 3 x 13 =
9 + 39 = 48
7 0
3 years ago
Read 2 more answers
Ellen drove 277.2 miles. For each gallon of gas, the car can travel 21 miles. How many gallons of gas did Ellen use?
Paul [167]

Answer:

the answer is 13.2

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • How would i solve
    13·1 answer
  • HELP PLS ITS BEEEN AN HOUR im going to cry ):
    11·1 answer
  • Someone plz help me with this plz plz plz​
    14·1 answer
  • ADDITION OF INTEGERS<br> 21) 2+ 6+-6
    13·2 answers
  • Determine the total surface area of the prism below.
    11·1 answer
  • At a snow volleyball tournament, suppose that 38 percent of the spectators bought hot chocolate. If there were 527 spectators, h
    10·2 answers
  • 2. Tim bought 12 books. 2/3 of the books are science fiction. How many of
    11·2 answers
  • Which relation is a function of x?
    11·1 answer
  • A test has 100 questions. Lionel gets 87 questions correct. What decimal shows the part of the test he gets incorrect? *
    10·2 answers
  • Mrs. Douglas packs candy bars into boxes for the members of the school band to sell as a fundraiser. Each candy bar weighs 5.75
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!