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
AlekseyPX
1 year ago
5

The hyperbolic orbit of a comet is represented on a coordinate plane with center at (0, 4). One branch has a vertex at (0, 10) a

nd its respective focus at (0, 14). Which equation represents the comet's orbit?

Mathematics
1 answer:
Anuta_ua [19.1K]1 year ago
6 0

Remember that

If the given coordinates of the vertices and foci have the form (0,10) and (0,14)

then

the transverse axis is the y-axis

so

the equation is of the form

(y-k)^2/a^2-(x-h)^2/b^2=1

In this problem

center (h,k) is equal to (0,4)

(0,a-k)) is equal to (0,10)

a=10-4=6

(0,c-k) is equal to (0,14)

c=14-4=10

Find out the value of b

b^2=c^2-a^2

b^2=10^2-6^2

b^2=64

therefore

the equation is equal to

<h2>(y-4)^2/36-x^2/64=1</h2><h2>the answer is option A</h2>
You might be interested in
The ratio of the width to the length of a painting is 3 to 7. If the painting is 42 in. long how wide is it
belka [17]

If length is 42 inches, then width is 18 inches.

Step-by-step explanation:

We are given ratio of width to the length of a painting i.e 3 to 7. If the painting is 42 inches long, then how wide it is?

Solving:

\frac{width}{length}=\frac{width}{length}\\ \frac{3}{7}=\frac{w}{42}\\  Cross\,\,multiply:\\3*42=w*7\\126=w*7\\w=\frac{126}{7}\\w=18

So, If length is 42 inches, then width is 18 inches.

Keywords: Ratio

Learn more about Ratio at:

  • brainly.com/question/9880052
  • brainly.com/question/10781917
  • brainly.com/question/2707032

#learnwithBrainly

8 0
3 years ago
7TH GRADE MATH NEED ASAPP
Illusion [34]
I believe it is A because 3p has to be equal to or greater than 45
4 0
3 years ago
Read 2 more answers
Harold, a marina manager, purchased two boats. He then sold the boats, the first
zaharov [31]

Harold paid $ 16,632 and $ 38,808 for each of the boats.

Since Harold, a marina manager, purchased two boats, and he then sold the boats, the first at a profit of 40% and the second at a profit of 60%, and the total profit on the sale of the two boats was 54 % and $ 88 704 was the total selling price of the two boat, to determine what did Harold originally pay for each of the two boats the following calculation must be performed:

  • 55 x 0.6 + 45 x 0.4 = 51
  • 65 x 0.6 + 35 x 0.4 = 53
  • 70 x 0.6 + 35 x 0.4 = 54

  • 88,704 x 0.7 = 62,092.80
  • 160 = 62,092.80
  • 100 = X
  • 100 x 62,092.80 / 160 = X
  • 38.808 = X

  • 88,704 x 0.3 = 26,611.20
  • 140 = 26,611.20
  • 100 = X
  • 100 x 26,611.20 / 160 = X
  • 16,632 = X

Therefore, Harold paid $ 16,632 and $ 38,808 for each of the boats.

Learn more in brainly.com/question/21446500

7 0
3 years ago
Solve the following system of equations.
Tomtit [17]
There a number of methods in solving a system of equations. These methods are the substitution method, solving by graphing, gaussian elimination and by elimination method. For this case, we use the substitution method. To do this, we write one of the equation in a way where one variable is left on one side. We do as follows:

<span>−0.9x+0.5y=3.9 
0.5y = 3.9 + 0.9x
y = 3.9/0.5 + 0.9x/0.5
y = 7.8 + 1.8x

Then, we subsitute this equation to  variable y in the second equation. 
</span>0.4x+1.5(7.8 + 1.8x)=−6.9

Then, we solve for x
0.4x+1.5(7.8 + 1.8x)=−6.9
0.4x+11.7 + 2.7x=−6.9
3.1x = -18.6
x = -6

We substitute this value of x, to the first equation to solve for y
y = 7.8 + 1.8x
y = 7.8 + 1.8(-6)
y = -3


4 0
3 years ago
Please help me. In order to find the height of the tower shown, the surveyors measure the angles of elevation from two points, A
Llana [10]
Good luck to you! This problem was a mental workout. XD

7 0
3 years ago
Other questions:
  • What multiples to 0 and adds to 8
    10·1 answer
  • The equation of the line of best fit of a scatter plot is y = 5x – 2. What is the slope of the equation?
    14·2 answers
  • Using a graphing calculator to determine a quadratic function h(t) for the data?
    8·1 answer
  • What is the simplified sum of 3x/x-4 + x-3/2x
    6·2 answers
  • Three less than 2 times a number is 55. What is the number?
    15·1 answer
  • 5. Carrie is 5 years older than her sister Sue
    6·1 answer
  • Marcus needs 3 1/10 m of blue fabric and 1 1/5 m of yellow fabric to make his costume. How much more blue fabric than yellow fab
    10·2 answers
  • ASAP I NEED TO GRADUATE THIS WEEK
    8·1 answer
  • This is the start of the question, thanks again!
    13·2 answers
  • I need help with this problem 23 in to 61,982 not sure how to work the problem
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!