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
kherson [118]
3 years ago
13

Write the standard form equation of the ellipse shown in the graph, and identify the foci.

Mathematics
2 answers:
Rama09 [41]3 years ago
5 0

Answer option A

From the given graph is a Vertical ellipse

Center of ellipse = (-2,-3)

Vertices are (-2,3)  and (-2,-9)

Co vertices are (-6,-3) and (2,-3)

The distance between center and vertices = 6, so a= 6

The distance between center and covertices = 4 , so b= 4

The general equation of vertical ellipse is

\frac{(x-h)^2}{b^2} + \frac{(y-k)^2}{a^2}=1

(h,k) is the center

we know center is (-2,-3)

h= -2, k = -3 , a= 6  and b = 4

The standard equation  becomes

\frac{(x+2)^2}{4^2} + \frac{(y+3)^2}{6^2}=1

\frac{(x+2)^2}{16} + \frac{(y+3)^2}{36}=1

Foci  are (h,k+c)  and (h,k-c)

c=\sqrt{a^2-b^2}

Plug in the a=6  and b=4

c=\sqrt{6^2-4^2}

 c=\sqrt{20}

  c=2\sqrt{5}, we know h=-2  and k=-3

Foci  are   (-2,-3+2\sqrt{5})  and  (-2,-3-2\sqrt{5})

Option A is correct


deff fn [24]3 years ago
3 0

Answer:

A is the correct option choice


You might be interested in
What is equivalent to this equation 4^x+3=64
Umnica [9.8K]
<span><span> x-4/x3-64</span> </span>Final result :<span> x4 - 64x3 - 4 ————————————— x3 </span>
4 0
3 years ago
Read 2 more answers
I need help understanding how to do this problem (image attached).
ikadub [295]
Well to find the value of the interior angle of a hexagon it would be out of a total of 720 degrees therefore just subtract the values of the known interior angle values and you should be able to get the value of the interior angle of X
4 0
3 years ago
What are some of the cities where jazz first developed during the 1920s and 1930s? Why do you think these particular cities beca
Rus_ich [418]

Answer:

Although New Orleans is usually credited with being the birthplace of jazz, similar music also began happening not long after in other cities, including Chicago, Kansas City, and Saint Louis.

Step-by-step explanation:

hope it helps but it is not all the answers .

6 0
3 years ago
Twice the sum of a number and 7 is more than 6 or at most -3. Which compound inequality can represent this relationship
yarga [219]

Answer:

C

Step-by-step explanation:

6 0
3 years ago
I need help solving this problem: 5x+8+3x=8+7x-6
Alex787 [66]

Hope this will help u....

5 0
3 years ago
Other questions:
  • The authors of a paper titled "Age and Violent Content Labels Make Video Games Forbidden Fruits for Youth" carried out an experi
    10·1 answer
  • A parallelogram in which all four sides are of equal length is called a ________. trapezoid square rhombus rectangle
    10·2 answers
  • The Serenity and the Mystic are sail boats. The Serenity and the Mystic start at the same point and travel away from each other
    15·1 answer
  • PLEASE ANSWER + BRAINLIEST !!!
    11·1 answer
  • Lee has 3 children, the oldest is twice as old as the oungest, the middle is 5 years older than the youngest, the sum of the chi
    9·2 answers
  • Renta is hiking along a trail that is 13.7 miles long so far she height along 1/10 of of the trail how far does went a hike
    11·1 answer
  • Only answer if you’re sure :) need full equation. Will give Brainly!
    8·1 answer
  • What is the area of the triangle?<br> umi<br> bosi<br> 4<br> par<br> 2<br> con<br> units
    9·2 answers
  • 7 is 5% of what number
    13·1 answer
  • 100pts!! Ellis is painting wooden fenceposts before putting them in his yard. They are each 7 feet tall and have a diameter of 1
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!