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
Zarrin [17]
4 years ago
14

Identify the conic that is formed by the intersection of the plane described and the double-napped cone.

Mathematics
1 answer:
DerKrebs [107]4 years ago
8 0
<h3>Answer: B) hyperbola</h3>

If the cutting plane was parallel to the circular base of the cones, then we would have a circular cross section (assuming the plane doesnt cut through the vertex). However, we're told than the plane intersects both nappes, or cones, so it's not possible for the plane to be parallel to the base faces. We can rule out choice A.

We can rule out choice C and choice D for similar reasons. An ellipse only forms if the plane only cuts through one cone only, which is the same story for a parabola as well.

You might be interested in
NO LINKS!! Please help me with this problem​
Vera_Pavlovna [14]

Information : The given hyperbola is a horizontal hylerbola with its centre (3 , -5) and one of its focus at (9 , -5) and vertex at (7 , -5) and as we can see that the focus and vertex have same y - coordinates, it must have its Transverse axis on line y = - 5.

Now,

it's vertex is given, I.e (7 , -5)

so, length of semi transverse axis will be equal to distance of vertex from centre, i.e

  • a = 7 - 3 = 4 units

Now, it's focus can be represented as ;

\qquad \sf  \dashrightarrow \: (3 + ae,  - 5 )

so,

  • ae + 3 = 9

and we know, a = 4

\qquad \sf  \dashrightarrow \: 4e + 3 = 9

\qquad \sf  \dashrightarrow \: 4e = 6

\qquad \sf  \dashrightarrow \: e =  \cfrac{3}{2}

Now, let's find the measure of semi - conjugate axis (b)

\qquad \sf  \dashrightarrow \:  {b}^{2}  =  {a}^{2} ( {e}^{2}  - 1)

\qquad \sf  \dashrightarrow \:  {b}^{2}  = 16( \frac{9}{4}  - 1)

\qquad \sf  \dashrightarrow \:  {b}^{2}  = 16( \frac{9 - 4}{4}  )

\qquad \sf  \dashrightarrow \:  {b}^{2}  = 16( \frac{5}{4}  )

\qquad \sf  \dashrightarrow \:  {b}^{2}  = 20

\qquad \sf  \dashrightarrow \: b =   \sqrt{20}

So, it's time to write the equation of hyperbola, as we already have the values of a and b ~

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

[ plug in the values, and h = x - coordinate of centre, and k = y - coordinate of centre ]

\qquad \sf  \dashrightarrow \:  \cfrac{ ({x-3)}^{2} }{ {16}^{} }  -  \dfrac{ {(y+5)}^{2} }{ { {20} }^{} }  = 1

6 0
2 years ago
Read 2 more answers
Describe rule for pattern 10, 30, 90, …
makkiz [27]

Answer:

it go by 20 then 30

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Explain the following in complete sentences: Is the number 1 prime?
eduard

Answer:

Yes the number 1 is prime my guy

5 0
3 years ago
Read 2 more answers
Table of inches and centimeters
TEA [102]

If you compare table values to answer choices, you can see right away that several don't work. The number of centimeters is greater than the number of inches, so adding to or multiplying the number of centimeters by some number more than 1 will not give you the smalller number that is inches.

While it may work for the first number (5 inches) to add 7.7 to get the first number of centimeters (12.7), you have to know that you can only add like to like. You can only add inches to inches (getting a result of inches), or centimeters to centimeters (getting a result of centimeters). From the point of view of the units involved, it is <em>nonsensical</em> to add a pure number to a number of inches and expect to get a number of centimeters.

So, we're down to the second choice:

- The number of inches is multiplied by 2.54 to find the number of centimeters.

_____

To find the pattern in the table, you can ...

  • observe that the inch values differ by 1
  • observe that the centimeter values differ by 2.54
  • realize that the constant differences mean the relation between inches and centimeters is linear, and that a change in an inch value of 1 inch is multiplied by 2.54 to find the corresponding change in centimeter value.

_____

I don't know what the first step in your problem solving process is supposed to be. In my problem solving process, the first step is always to <em>look at what you are given</em>. The next step is <em>look at what you are being asked for</em>.

8 0
3 years ago
Read 2 more answers
Jennifer is saving money to buy a bike. The bike costs $319. She has $139 saved, and each week she adds $15 to her savings.
ella [17]
The answer would be 12 weeks
5 0
3 years ago
Read 2 more answers
Other questions:
  • What is likely to happen to an atom of oxygen that does not contain maximum number of electron in outermost energy level?
    6·1 answer
  • A building casts a shadow 47 feet long. At the same time, a 38‐foot‐tall flagpole casts a shadow 9.4 feet long. What is the heig
    6·1 answer
  • What is the value of x in y= -6x+18 and y =3/2x-7
    8·1 answer
  • Explain why 1/2 of 2 equals one whole
    11·1 answer
  • Please I am in need of help if you go solve all my questions o will mark brainliest
    6·1 answer
  • A simple random sample of 60 items resulted in a sample mean of 65. The population standard deviation is 14. a. Compute the 95%
    7·2 answers
  • How do u write 200+9+07+0.01 In written form
    15·1 answer
  • Please help this packet is due tomorrow
    12·1 answer
  • A survey is being conducted to decide on how much time people spend watching sports on television. Tell whether the given sample
    5·1 answer
  • Please Help Me ASAP.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!