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
denpristay [2]
3 years ago
14

A system for tracking ships indicated that a ship lies on a hyperbolic path described by 5x2 - y2 = 20. the process is repeated

and the ship is found to lie on a hyperbolic path described by y2 - 2x2 = 7. if it is known that the ship is located in the first quadrant of the coordinate system, determine its exact location.
Mathematics
1 answer:
zysi [14]3 years ago
8 0
Answer:
The ship is located at (3,5)

Explanation:
In the first test, the equation of the position was:
5x² - y² = 20 ...........> equation I
In the second test, the equation of the position was:
y² - 2x² = 7 ..............> equation II
This equation can be rewritten as:
y² = 2x² + 7 ............> equation III

Since the ship did not move in the duration between the two tests, therefore, the position of the ship is the same in the two tests which means that:
equation I = equation II

To get the position of the ship, we will simply need to solve equation I and equation II simultaneously and get their solution.

Substitute with equation III in equation I to solve for x as follows:
5x²-y² = 20
5x² - (2x²+7) = 20
5x² - 2y² - 7 = 20
3x² = 27
x² = 9
x = <span>± </span>√9

We are given that the ship lies in the first quadrant. This means that both its x and y coordinates are positive. This means that:
x = √9 = 3

Substitute with x in equation III to get y as follows:
y² = 2x² + 7
y² = 2(3)² + 7
y = 18 + 7
y = 25
y = +√25
y = 5

Based on the above, the position of the ship is (3,5).

Hope this helps :)
You might be interested in
What is the sum of 4.061 and 18.62?
andrezito [222]

Answer:

22.681

Step-by-step explanation:

  1

    4.061

<u>+  18.620</u>

  22.681

Hope this helps!! Have a wonderful day C:

6 0
3 years ago
Select the correct answer.
sergejj [24]
G(x)/f(x) will be simplified to (x+3)(x-3)/2-x^1/2,
which will give you [0,4) ∪(4, ∞).
Choice B
5 0
3 years ago
What is three tenths times two and five sixths?
Virty [35]
To multiply fraction do top x top and bottom x bottom 
so convert 2 \frac{5}{6} into \frac{17}{6}
then do \frac{3}{10} * \frac{17}{6} =  \frac{3*17}{10*6} =  \frac{51}{60} =  \frac{17}{20}

3 0
3 years ago
Read 2 more answers
Write a summary can Smartphones improve student lives? why or why not ( in your own words )
bonufazy [111]

Answer:

Smartphones can imrove student lives by giving students the ability to contact their teachers to ask questions or comment on a specific work. they can also allow the student to look up answers and learn from what others think. Smartphones can also add distractions in class and allow an easy way to cheat on a test or a quiz. Overall Smartphones can be beneficial and harmful to a students life.

Step-by-step explanation:

4 0
3 years ago
Which expression is equivalent to 3(x - 1) – 5(x + 2) ?
kykrilka [37]
Answer is C. -2x - 13
7 0
3 years ago
Other questions:
  • The value of x in the proportion 1/2:2/3 = 3/4:x is<br><br> 1<br> 4/9<br> 1 7/9<br> 1/4
    15·2 answers
  • Whats v= π r^2h ; (h)
    11·1 answer
  • Sigma motors has assets of $5,000,000, liabilities of $1,200,000, and retained earnings of $1,500,000. what is the value of the
    12·1 answer
  • Something divide -7 = -14
    7·1 answer
  • Pls answer asappppp help me
    13·2 answers
  • What is the value of p?
    8·2 answers
  • Please help. thanks.
    14·1 answer
  • I have more question just don't get it wronge
    6·2 answers
  • Clare is 5 years older than her cousin.
    9·2 answers
  • Plss help me quickly tyyy<br>either question 5 or six cus I need the explanation:)))​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!