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
Brums [2.3K]
2 years ago
6

NO LINKS!! Please help me with this problem​

Mathematics
2 answers:
Vinil7 [7]2 years ago
7 0

Answer:

\dfrac{y^2}{36}-\dfrac{x^2}{16}=1

Step-by-step explanation:

<u>Standard form equation of a vertical hyperbola</u>

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

where:

  • center = (h, k)
  • vertices = (h, k±a)
  • co-vertices = (h±b, k)
  • foci = (h, k±c) where c² = a² + b²
  • \textsf{asymptotes}: \quad y =k \pm \left(\dfrac{a}{b}\right)(x-h)
  • Transverse axis: x = h
  • Conjugate axis: y = k

From inspection of the graph:

  • center = (0, 0)  ⇒ h = 0, k = 0
  • vertices = (0, 6) and (0, -6)  ⇒  a = 6
  • co-vertices = (4, 0) and (-4, 0)  ⇒  b = 4

Substitute the found values into the formula:

\implies \dfrac{(y-0)^2}{6^2}-\dfrac{(x-0)^2}{4^2}=1

\implies \dfrac{y^2}{36}-\dfrac{x^2}{16}=1

iogann1982 [59]2 years ago
5 0

{\qquad\qquad\huge\underline{{\sf Answer}}}

The given figure shows a vertical hyperbola with its centre at origin, and as we observe the figure, we can conclude that :

Length of transverse axis is :

\qquad \sf  \dashrightarrow \: 2b = 12

\qquad \sf  \dashrightarrow \: b = 6

length of conjugate axis is :

\qquad \sf  \dashrightarrow \: 2a = 8

\qquad \sf  \dashrightarrow \: a = 4

Equation of hyperbola ~

\qquad \sf  \dashrightarrow \:    \cfrac{ {y}^{2} }{ {b}^{2} } - \cfrac{  {x}^{2} }{ {a}^{2} }  = 1

plug in the values ~

\qquad \sf  \dashrightarrow \:    \cfrac{ {y}^{2} }{ {6}^{2} } - \cfrac{  {x}^{2} }{ {4}^{2} }  = 1

\qquad \sf  \dashrightarrow \:    \cfrac{ {y}^{2} }{ {36}^{} } - \cfrac{  {x}^{2} }{ {16}^{} }  = 1

You might be interested in
I need it done asapp<br> Will give brainly!!
FinnZ [79.3K]

Answer:

I believe the answer is 1/5 please tell me if I am wrong and I am truly sorry if I am

Step-by-step explanation:

7 0
3 years ago
The function q(w) = 3+5(w-1) represents the number of quarters in a bowl on week w. What does the value 5 represent in the situa
Zepler [3.9K]
The value of quarters in the bowl on week 1 was &5
6 0
3 years ago
I need #2, #3, #4, #7, and #8.<br> but do as much as you can pls thanks !
kifflom [539]

Answer:

See explanation.

Step-by-step explanation:

2) Your written answer is correct, y = x +4

3) Slope of perpendicular line: 5/2

y=mx+b

4 = (5/2)(4) + b

4 = 10 + b

b = -6

So, y=(5/2)x - 6

4) Slope of perpendicular line: 1

y=mx+b

5 = (1)(4) + b

5 = 4 + b

b = 1

So, y = x + 1

7) Slope of perpendicular line: 3/4

y=mx+b

4 = (3/4)(4) + b

4 = 3 + b

b = 1

So, y = (3/4)x + 1

8) Slope of perpendicular line: 1/4

y=mx+b

-2 = (1/4)(0) + b

b = -2

So, y = (1/4)x - 2

4 0
3 years ago
What is the solution to the inequality x(x - 3) &gt; 0?
Nimfa-mama [501]

Answer:

D) x<0 or x>3

Step-by-step explanation:

x(x-3)>0

either x>0 and x-3>0      .... positive-positive=positive   so x>3

or x<0 and x-3<0    ..... negative-negative=positive  so x<0

if x=0 then x(x-3)=0

4 0
3 years ago
Pretty please help me thank you <br><br> its 2 questions
Alex
3. is SAS
4. is CPCTC
5. i think its 66
3 0
3 years ago
Other questions:
  • How many permutations in the word calculus
    15·1 answer
  • Dress 40$ and tax 20% how much is dress
    11·1 answer
  • The Triangle Shirtwaist fire: a. resulted in laws that banned all manufacturing in New York. b. occurred during the Uprising of
    11·1 answer
  • A dice cube has 6 sides that are numbered 1 to 6. If the cube is thrown once, what is the probability of rolling an odd number?
    11·1 answer
  • A submarine dives 20 meters each minute for 15 minutes. What is the total change in depth after 15 minutes?
    14·1 answer
  • What is the estimate of 651-376?
    14·1 answer
  • Please answer correctly !!!!!! Will mark Brainliest answer !!!!!!!!!!!!!!
    9·1 answer
  • What is the scale factor from abc to def?
    8·1 answer
  • This is worth 10 points if you show work you will get the Brainliest answer if your unable to show work type it for your explana
    12·2 answers
  • Taylor kept track of the number of hours that he spent at
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!