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
Murrr4er [49]
2 years ago
8

Which of the following statements best describes the transverse axis of a

Mathematics
1 answer:
TEA [102]2 years ago
4 0

Answer:

The transverse axis of a hyperbola equals the difference between the distances from any point on the hyperbola to each focus. Which is expressed in answer "C" in your list of possible answers.

Step-by-step explanation:

In fact, the definition of hyperbola is that of all point on the plane whose difference between their distance to each focus is a constant.

That constant can be determined in particular when one considers the distance to the actual vertex of the hyperbola (which is on the transverse axis) and whose distance to one of the focii is equal to the transverse axis plus the distance from the vertex to the focus, and from which needs to be subtracted the distance from the vertex to the focus, resulting then in exactly the transverse axis.

You might be interested in
Write the equation of the line that passes through (2, 3) and is parallel to the line 12x – 5y = 2.
zheka24 [161]
The first thing I'd do is put this equation into standard slope - intercept form. 

12x - 5y = 2               Subtract 12x from each side
-5y = -12x + 2            Divide each side by -5 to isolate the <em>y 
</em><em />y = 12/5(x) - 2/5    
     
 The slope for this equation is 12/5, so we just take that and plug it into the slope - intercept equation with the given points (2, 3)

y = mx + b                    Fill in the variables
3 = 12/5(2) + b             Simplify
3 = 24/5 + b                 Subtract 24/5 (or 4 4/5) from each side
-9/5 = b

Now we just fill in the correct variables (m and b) in the equation to have our final answer. 

y = 12/5x - 9/5
4 0
2 years ago
Rewrite the fraction as a decimal -19/50
Mama L [17]
Rewrite the fraction as a decimal
-19/50 = -0.38

8 0
2 years ago
Prove: cot(x) sec^4(x) = cot(x) +2tan(x) + tan^3(x)
masha68 [24]
\bf cot(\theta)=\cfrac{cos(\theta)}{sin(\theta)}&#10;\qquad\qquad &#10;sec(\theta)=\cfrac{1}{cos(\theta)}\quad\qquad  1+tan^2(\theta)=sec^2(\theta)\\\\\\&#10;tan(\theta)=\cfrac{sin(\theta)}{cos(\theta)}&#10;\qquad \qquad cot(\theta)=\cfrac{cos(\theta)}{sin(\theta)}&#10;\\\\&#10;-------------------------------\\\\&#10;cot(x)sec^4(x)=cot(x)+2tan(x)+tan^3(x)\\\\&#10;-------------------------------\\\\

\bf \textit{so, let's do the left-hand-side}\\\\&#10;cot(x)sec^2(x)sec^2(x)\implies cot(x)[1+tan^2(x)][1+tan^2(x)]&#10;\\\\\\&#10;cot(x)[1^2+2tan^2(x)+tan^4(x)]&#10;\\\\\\&#10;cot(x)+2tan^2(x)cot(x)+tan^4(x)cot(x)&#10;\\\\\\&#10;cot(x)+2\cdot \cfrac{sin^2(x)}{cos^2(x)}\cdot \cfrac{cos(x)}{sin(x)}+\cfrac{sin^4(x)}{cos^4(x)}\cdot \cfrac{cos(x)}{sin(x)}&#10;\\\\\\&#10;cot(x)+2\cdot \cfrac{sin(x)}{cos(x)}+\cfrac{sin^3(x)}{cos^3(x)}\implies \boxed{cot(x)+2tan(x)+tan^3(x)}
8 0
2 years ago
Explain in a short paragraph how the figure below shows this is a right triangle, by the converse of the Pythagorean Theorem.
pantera1 [17]

Please provide us with the figure

3 0
3 years ago
What’s the correct answer <br> I need a correct answer ASAP!!!!!
Illusion [34]

Answer:

the first answer

3 1/3 that's the correct answer

5 0
2 years ago
Other questions:
  • Can you help me with this page you can do as many as you want just please help
    13·1 answer
  • Help please Simplify (4^1/5)^5
    14·1 answer
  • If you spin a spinner with eight equal sections numbered (1 through 8), find P(factor of 6).
    6·1 answer
  • He park trail is 10x^2+4x+2 miles long. The hiker has traveled 5x-1 miles. How much farther does the hiker need to travel to get
    11·1 answer
  • 1/4(24x+12)=6(x+1/2)
    10·1 answer
  • Slove and answer -2(x+3y)=18
    13·2 answers
  • Please Please help me with 4-37 and 4-38
    14·1 answer
  • Brainliest to who ever answers correctly
    7·2 answers
  • Which graph shows the line y - 2 = 2(x + 2)?
    13·1 answer
  • Given x^2 + y^2 = 16, find<br><br>name:<br>center:<br>Domain:<br>Range:<br>x-int<br>y-int<br>​
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!