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
slavikrds [6]
3 years ago
12

Find the eccentricity of the ellipse 4x^2 +16y^2 +32x-32y+16=0

Mathematics
1 answer:
Neko [114]3 years ago
7 0
       4x² + 16y² + 32x - 32y + 16 = 0
     <u>                                       - 16  - 16</u>
               4x² + 16y² + 32x - 32y = -16
               4x² + 32x + 16y² - 32y = -16
4(x² + 8x + 16) + 16(y² - 2y + 1) = -16 + 4(16) + 16(1)
                  4(x + 4)² + 16(y - 1)² = -16 + 64 + 16
                  4(x + 4)² + 16(y - 1)² = 48 + 16
                  <u>4(x + 4)²</u> + <u>16(y - 1)²</u> = <u>64</u>
                      64              64          64
                        <u>(x + 4)²</u> + <u>(y - 1)²</u> = 1
                           16            2
You might be interested in
the admission fee for a charity event is $7 for children and $10 for adults the event was attended by 700 people on the total am
9966 [12]

Answer:

there were 200 children and 500 adults at the show

Step-by-step explanation:

7x+10y=6400

x+y=700

x=700-y

7(700-y)+10y=6400

4900-7y+10y=6400

-7y+10y=1500

3y=1500

y=500

x=700-y

x=700-500

x=200

3 0
2 years ago
Read 2 more answers
A sociologist recorded the estimated life expectancies of women born in Center City. Use the data from women born in 1970 and 20
Veronika [31]

Y=0.213x-352  will represent this linear model shown in the data table.

<h3>What will be the linear model for the given data?</h3>

Put the values of the x in the all given equations and then check the value of y if the value of y matches the given values in the option

So if we put the value x=1980 in the Y=0.213x-352  then

Y=0.213(1980)-352

Y=69.74

These values are closest to 70.1 whereas other options do not satisfy the condition.

Thus Y=0.213x-352  will represent this linear model shown in the data table.

To know more about Statistics follow

brainly.com/question/21508412

3 0
2 years ago
Put the numbers in order from smallest to largest.
AnnZ [28]
In order of problems/numbers - 4, 3, 5, 6, 1, 2
3 0
3 years ago
∆ABC rotates around point D to create ∆A'B'C'. However, only is shown. Based on the position of , what are the coordinates of A'
earnstyle [38]
Well if you are talking to me about the following graphic <span>http://contentlaunch.ple.platoweb.com/testimagedb/53/5377183edb46ae5c5177efb0f9dfbbd1 then we have to say that it would be 4,1. Right there you can find A. Hope this has helped you</span>
3 0
3 years ago
Read 2 more answers
What is a Hamiltonian , and why are they important ?
katen-ka-za [31]

Step-by-step explanation:

<em><u>Hamiltonian function, also called Hamiltonian, mathematical definition introduced in 1835 by Sir William Rowan Hamilton </u></em>

6 0
2 years ago
Other questions:
  • A train travels 190 km in 3.0 hours and then 120 km in 2.0 hours. What is its average speed?
    6·1 answer
  • A sector with a radius of 6 cm has a central angle measure of 4pi/9 in radians. What is the area of the sector?
    8·1 answer
  • PLZ HELP ME!!!!!!
    6·1 answer
  • A text font fits 12 characters per inch using the same font how many catchers can be expected per yard of text
    6·1 answer
  • A projected image appears as an isosceles trapezoid. How many degrees larger do the angles in the lower left and lower right cor
    7·2 answers
  • The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 44 o
    12·1 answer
  • Can someone please help me with this question?
    6·1 answer
  • The power in an electrical circuit is given by the equation P= I^2R, where /is
    8·1 answer
  • According to this line plot, 3 players on this team each had 15 strikeouts for a total of 45 strikeouts. How many strikeouts did
    12·1 answer
  • Josephine can correct her students' test papers in 9 hours, but if her teacher's assistant helps, it would take them 7 hours. Ho
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!