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
likoan [24]
3 years ago
7

What is an equation in standard form of an ellipse centered at the origin with vertex (-6,0) and co-vertex (0,4)?

Mathematics
2 answers:
Anna [14]3 years ago
3 0
\frac{x^{2} }{36} + \frac{ y^{2}}{16} = 1

This is because the standard form of an ellipse is 

\frac{ x^{2} }{ a^{2} } + \frac{ y^{2} }{ b^{2} } = 1

where a is the vertex and b is the co-vertex. So when we stick their respective x and y values in and then square them, you're left with the answer above. 
Nonamiya [84]3 years ago
3 0

Answer:

\frac{x^{2} }{36}+\frac{y^{2} }{16}=1

Step-by-step explanation:

As we know standard equation of n ellipse is \frac{(x-0)^{2} }{(-6)^{2}}+\frac{(y-0)^{2} }{(4)^{2} }=1

In the given equation (h, k) is the center, a is the vertex and b is the co-vertex.

Here vertex is (-6, 0) and co-vertex is (0, 4)

Therefore, length of a = -6, b = 4 and origin is (0, 0)

Now the equation of the ellipse will be

\frac{(x-0)^{2} }{(-6)^{2}}+\frac{(y-0)^{2} }{(4)^{2} }=1

\frac{x^{2} }{6^{2}}+\frac{y^{2} }{4^{2} }=1

\frac{x^{2} }{36}+\frac{y^{2} }{16}=1

Therefore, the equation of the ellipse will be \frac{x^{2} }{36}+\frac{y^{2} }{16}=1

You might be interested in
Find the amount A accumulated after investing a principle P= $2,000 for t= 8 years at an interest rate r= 6%
Elenna [48]
I=prt

(2000)(.06)(8)

=960
3 0
3 years ago
What is the slope of the line given by the equation y = 6x​
Alenkinab [10]

Answer: Slope:  

6

y-intercept:  

0

Step-by-step explanation:

Hope this helps!

I am joyous to assist anytime.

~Jarvis

8 0
2 years ago
African elephants can eat up to 500 pounds of vegetation in one day. How many pounds of vegetation could an elephant eat in a we
Murrr4er [49]

Answer:

they would eat 3500 pounds of food in 1 week

Step-by-step explanation:

its simple math just multiply 500 by 7 and you would get 3500

5 0
2 years ago
Help asap 80 points!
Montano1993 [528]

Answer:

[-3, 3]

Step-by-step explanation:

The function/ graph is defined from -3 to 3, inclusive of those values

3 0
2 years ago
Read 2 more answers
Can y’all please help me
Andrew [12]

Answer:

Rly lazy man.....

Step-by-step explanation:

1/2*l*w is the area of triangle, plug in values...

1/2*4.5*6.6

14.85 square feet is the area

7 0
2 years ago
Read 2 more answers
Other questions:
  • Complete the table dkskdsalaoakz
    9·1 answer
  • What is a - 5 - 6a + 3
    6·1 answer
  • Solve.<br><br> x² + 6x + 9 = 12<br><br> (Choices in photo)
    9·2 answers
  • A taxi cab charges an initial fee of $3.50. Each 1/8 mile costs $0.23. Write an equation for the total cost, c, depending on the
    15·1 answer
  • A circle has an area of 50
    15·1 answer
  • Round 637.892 to whole number
    10·2 answers
  • Use division to find the unit rate. <br><br> 45 buttons were needed to make 5 jackets.
    5·2 answers
  • This will give you 35 just please help I need to do this very fast. So if you can help please do.
    8·1 answer
  • 8. Find the GCF of *<br> 40x3 and 50x2
    8·2 answers
  • Can someone PLEASE ANSWER BOTH THESE QUESTIONS!!!!!!!!
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!