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
Korolek [52]
2 years ago
13

THIS IS NOT A TEST OR ASSESSMENT!! NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW!!! PLEASE EXPLAIN!! Chapter 13

Mathematics
2 answers:
Alex2 years ago
4 0

Answer:

The vertex of the parabola is at equal distance between focus and the directrix. If F is the focus of the parabola, V is the vertex and D is the intersection point of the directrix and the axis of symmetry, then V is the midpoint of the line segment ¯FD

Step-by-step explanation:

answer 3rd

Andreas93 [3]2 years ago
4 0

9514 1404 393

Explanation:

<h3>1.</h3>

A cone is a 3-dimensional object created by revolving a line about an axis that intersects that line. This figure is a "double-napped" cone. The point where the revolved line and the axis meet is the a.pex, or vertex, of the cone. Typically, we're concerned with a finite portion of the cone, from the vertex to a base that is a circle in a plane perpendicular to the axis.

A "conic" is a 2-dimensional figure that results from the intersection of a plane and a cone. There are four general categories, named according to the angle the plane makes with the axis and/or the side of the cone. These are illustrated in the attachment.

  1. a circle - the plane of intersection is perpendicular to the axis
  2. an ellipse - the plane of intersection is at an angle between 90° and the angle of the side relative to the axis. Both an ellipse and a circle are closed figures.
  3. a parabola - the plane of intersection is at the same angle as the side of the cone. A parabola is a one-sided open figure.
  4. a hyperbola - The plane of intersection is at an angle between that of the side of the cone and the axis of the cone. The plane will intersect both parts of a double-napped cone producing a double-sided open figure.

Producing these at home can be an interesting project. A circle can be made using a compass.

An ellipse can be drawn using a pair of pins and a loop of string. The pins would be placed at the foci of the ellipse, and the string would constrain the drawing instrument (pen or pencil) to have a constant total distance to the two foci.

A parabola can be drawn on graph paper using coordinates derived from an equation for it. It can also be drawn using a compass and a set square by plotting points that are equidistant from the <em>focus</em> and a line that is called the <em>directrix</em>. If you have a physical cone-shaped object, you can cut it at an angle that will produce a parabola.

A hyperbola can be drawn on graph paper from an equation. It can also be drawn using a compass by plotting points that have a constant difference in their distance to the two foci, or by plotting points whose ratio of distance to focus and directrix is a constant. A physical cone-shaped object can be cut to produce a hyperbola.

__

<h3>2.</h3>

The <em>general form</em> equation for a conic is ...

  Ax² +Bxy +Cy² +Dx +Ey +F = 0

Usually, we're concerned with conics that have axes parallel to the coordinate axes, so B=0. The equation of an ellipse has A and C with the same sign. The equation of a hyperbola has A and C with opposite signs,

In <em>standard form</em>, the equations for figures centered at the origin are ...

  • ellipse: x²/a +y²/b = 1
  • hyperbola: x²/a -y²/b = 1 (opens horizontally)
  • hyperbola: y²/a -x²/b = 1 (opens vertically)

__

<h3>3.</h3>

The vertex of a conic is an extreme point on the (major) axis of the conic. The focus is a point used in the definition of the conic. The focus is "inside" the curve, on the axis of symmetry. The directrix is a line used in the definition of the conic. The directrix is "outside" the curve, perpendicular to the axis. The second attachment shows these for a parabola.

You might be interested in
What is the difference of the fractions ? PLZ HELP ONLY HAVE 7 MINS​
erik [133]

- 2 \frac{1}{2}  - ( - 1 \frac{3}{4} )

-  \frac{5}{2}  - ( -  \frac{7}{4} )

-  \frac{10}{4}  - ( -  \frac{7}{4} )

-  \frac{3}{4}

4 0
3 years ago
A triangular prism has a height of 6 meters and a triangular base with the following dimensions.
Novosadov [1.4K]
The value of B is 48m. squared
This is because the formula for a triangle is (length×hight÷2)

So in this case, multiply 16 and 6 to get 96. Then divide 96 by 2 to get 48m. squared
4 0
3 years ago
Read 2 more answers
PLZ HELP! Will GIVE BRAINLIEST
tatuchka [14]

Answer:

The answer is D

Step-by-step explanation:

It will be slightly more than 15 because it is 15.707963267...

6 0
3 years ago
.<br> 1.<br> f(x) = -2lx- 3| +1<br><br> How do I graph this?
ira [324]

Answer:

See explanation

Step-by-step explanation:

f(x) = -2lx-3| +1

1.lx-3|==>Translate the basic absolute value graph f(x)=|x| 3 units to the right

2. -lx-3| ==> Flip the graph over the x-axis

3. -2lx-3| ==> Double all the y-coordinates of the graph

4. -2lx-3| +1 ==> Translate the graph 1 unit up

4 0
1 year ago
Read 2 more answers
What is the value of y? Assume that the line is tangent to the circle
Misha Larkins [42]

Answer:

c 120

Step-by-step explanation:

I'm thinking isit is c120

7 0
3 years ago
Other questions:
  • Plz help will mark brainliest and plz show how you did the steps.
    15·1 answer
  • How many terms are in the expression x²-10xy+3y+y-1
    13·1 answer
  • 2x + 4y= 12 y= 1/4 x - 3<br> What is the solution to the system of equations?
    13·1 answer
  • In this arithmetic sequence the difference between each pair of consecutive terms is 1/2 Find the next term in the sequence expr
    14·1 answer
  • Pleaseeeeee help me out
    7·2 answers
  • In one month, Juan worked 5 more hours than Carlito. Sara worked 3 times as many hours as Juan. Altogether they worked 80 hours
    8·2 answers
  • What are the zeroes of f(x) = x2 + 5x + 6?
    7·2 answers
  • The bottom surface of the pool is flat and needs new tiles. If each tile covers 1/9 of a square yard and costs $3, what is the c
    12·1 answer
  • I WILL GIVE BRAINLIEST ANSWER OUT. 20 POINTS!
    8·1 answer
  • This is 15 points plz help ( no links ) EXPLAIN YOUR ANSWER plz
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!