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


1. What is a conic ? How would you be able to model different conic sections at home(how would you slice a 3D shape to create the conic sections)?



2. How does the equation for the ellipse compare to the equation for a hyperbola? How can you determine the difference?


3. What is the difference between a vertex, a focus, and a directrix?

Answers

Answer 1

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Explanation:

1.

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.

a circle - the plane of intersection is perpendicular to the axisan 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.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.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 focus and a line that is called the directrix. 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.

__

2.

The general form 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 standard form, the equations for figures centered at the origin are ...

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

__

3.

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.

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

Related Questions

9 3/5 % as a decimal, rounded to 3 decimal places, is:

Answers

9 3/5 as a decimal rounded to 3 decimal places is 9 3/5 = 9.6

Graph the line with slope
3/4
passing through the point (-1, 4).

Answers

Answer:

y=3/4x+19/4

Step-by-step explanation:

y=mx+c

4=3/4*-(1)+c

4=-3/4+c

c=4+3/4

c=19/4

y=3/4x+19/4

Help me please! Show work. Thanks!!!!!!

Answers

Answer:

∠B= 102°, ∠Y= 32°

Step-by-step explanation:

The sum of the angles in a triangle is 180°.

∠A +∠B +∠C= 180° (∠ sum of triangle)

50° +∠B +28°= 180°

∠B +78°= 180°

∠B= 180° -78°

∠B= 102°

∠X= 180° -100° (adj. ∠s on a str. line)

∠X= 80°

∠X +∠Z +∠Y= 180° (∠ sum of traingle)

80° +68° +∠Y= 180°

∠Y +148°= 180°

∠Y= 180° -148°

∠Y= 32°

Alternatively,

∠Z +∠Y= ∠W (ext. ∠ of triangle)

68° +∠Y= 100°

∠Y= 100° -68°

∠Y= 32°

Question 1 of 10
If f(x)= 2 -3 and g(x) = 4x2 + x - 4, find (f+ g)(x).
O A. 4x+x-7
O B. 4x2 +5x-1
O c. 6x2 - 7
OD 6+x-1
A
SUBMIT

Answers

Answer:

I believe it's A

Step-by-step explanation:

I'm not sure sorry if its wrong

An angle measures 19.4° more than the measure of its complementary angle. What is the measure of each angle?

Answers

Answer:

37.8+52.2=90

Step-by-step explanation: x + (x + 14.4) = 90

2x + 14.4 = 90

2x = 75.6

x = 37.8  (one angle)

And (x + 14.4) = 52.2 (other angle).

Which of the following is the solution of 2x + 14 = 22?
x = 4
O x=8
X = 11
OX= 14

Answers

Answer:

x=4

Step-by-step explanation:

2x + 14 = 22

Subtract 14 from each side

2x+14-14 = 22-14

2x = 8

Divide by 2

2x/2 = 8/2

x = 4

What is the length of CD? In this diagram, AABC ~ AEDC. 20-% c * 7 21​

Answers

Answer:

[tex]\frac{BC}{DC}=\frac{AC}{EC}[/tex]

[tex]\frac{20-x}{x} =\frac{21}{7}[/tex]

[tex]\frac{20-x}{x} =3[/tex]

[tex]20-x=3x[/tex]

[tex]4x=20[/tex]

[tex]x=5[/tex]

[tex]So, CD=5[/tex]

OAmalOHopeO

Couldn’t figure this out help please

Answers

(B)

Step-by-step explanation:

Rewrite the equations into their standard forms. The first one can be rewritten as

[tex]10x - 12y = -5[/tex]

and the 2nd can be rewritten as

[tex]3x + 5y = -1[/tex]

Solving this system either by substitution or elimination, we get

[tex]x = -\dfrac{37}{86}\:\:\text{and}\:\:y= \dfrac{25}{86}[/tex]

If you add x + y, you'll get a negative number.

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Answer:

  B. x + y < 0

Step-by-step explanation:

The two equations can be cleared of fractions by multiplying by 15.

  15(2/3(x +1) -4/5y) = 15(1/3)

  10(x +1) -12y = 5

  10x -12y = -5

and

  15(2/5x +1/3(2y +1)) = 15(1/5)

  6x +5(2y +1) = 3

  6x +10y = -2

  3x +5y = -1 . . . . . eliminate common factor of 2

__

You can find the solutions any way you like, but you can answer the question without doing that. The lines are not parallel, nor coincident, so there is exactly one solution. (choices C and D are incorrect)

If we can locate the solution relative to the line x + y = 0, we can tell if choice A or choice B is correct. A quick look at the intercepts of the equations tells us the solution cannot lie in quadrants 1 or 4. The negative y-intercept and shallow slope (-3/5) of the second equation tells us the solution must lie below the line x + y = 0. That means x+y < 0, choice B.

_____

In the attached graph, the line x+y=0 is dashed orange. Above that line, x+y>0; below that line, x+y<0. We see the intersection point of the red and blue lines is in the region where x+y < 0.

For standard form equation ax+by = c, the x- and y-intercepts are c/a and c/b, respectively, so are easy to find from that form. Knowing these makes it easy to make a sketch of the graph, locating the solution point relative to the line x+y = 0.

The graph of a quadratic function has x-intercepts of -7 and -1, and passes through the point (-4,36). Determine the equation of the quadratic function in the form
f(x) = a(x - m)(x − n).

Answers

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Answer:

  f(x) = -4(x +7)(x +1)

Step-by-step explanation:

The x-intercepts tell us that m=-7 and n=-1. We can use the given point to find 'a'.

  f(-4) = 36

  a(-4+7)(-4+1) = 36

  a = 36/-9 = -4 . . . . divide by the coefficient of 'a'

Filling in the known values, ...

  f(x) = -4(x +7)(x +1)

If anyone can help me figure out the answer for this problem and show proper work I’ll give brainliest to them. Anyone who just tries to take points will be reported

Answers

315/400
I hope this helped

Rewrite the following without an exponent 3^-3

Answers

Answer:

1 / 27 is the answer

Step-by-step explanation:

3^-3

= 1 / 3^3

= 1 / 27

what the other person said

Doo number nine plz and thanks find M<Q​

Answers

Answer:

Q = 30

Step-by-step explanation:

Since this is a right triangle we can use trig functions

We know the opposite side and the hypotenuse

sin Q = opp / hypotenuse

sin Q = 7/14

Taking the inverse sin of each side

sin ^-1 (sin Q) = sin ^-1(7/14)

Q =30

Answer:

30 degrees

Step-by-step explanation:

Let log base aU=X and log base aV=Y, then a to the x power =? and a to y power =?

Answers

Answer:

[tex]{ \bf{ log_{a}(U) = x}} \\ { \boxed{ \tt{ {a}^{x} = U}}} \\ \\ { \bf{ log_{a}(V) = y}} \\ { \boxed{ \tt{ {a}^{y} = V }}}[/tex]

Zelina scored 10% higher on her second quiz than on her first quiz. On her third quiz, Zelina scored 20% higher than on her second quiz. Her third quiz score is what percent higher than her first quiz score?

Answers

Answer:

30%

Step-by-step explanation:

you just add 10% and 20%

Hope it helps c:

Zelina scored 32% higher on the third quiz than on her first quiz.

What is the percentage?

The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %.

Given that:-

Zelina scored 10% higher on her second quiz than on her first quiz. On her third quiz, Zelina scored 20% higher than on her second quiz.

From the given data we will see that:-

1 ) Zelina scored 10% higher on her second quiz than on her first quiz.

SQ = 1.10 FQ

2 ) On her third quiz, Zelina scored 20% higher than on her second quiz

TQ = 1.20SQ

From the above to expression solve for the first quiz:-

TQ = 1.20 x  1.10 FQ

TQ = 1.32FQ

Therefore Zelina scored 32% higher on the third quiz than on her first quiz.

To know more about percentages follow

https://brainly.com/question/24304697

#SPJ2

When a closed curve is parameterized by {x[t], y[t]}, then as you advance along the curve in the direction of the parameterization, which way do the tangent vectors {x'[t], y'[t]} at {x[t], y[t]} point; in the direction you are going, or in the direction opposite to the direction you are going?

Answers

Answer:

In the direction you are going,

Explanation:

We know that the tangent to  {x[t], y[t]} are  {x'[t], y'[t]}. Since  {x'[t], y'[t]} are tangents at  {x[t], y[t]}, we know that the tangent at a point is always parallel to the direction of the function at that point and in the direction of the function. So, the tangent vectors {x'[t], y'[t]} at {x[t], y[t]} point in my direction of motion as I move along the curve.

So, the tangent vectors {x'[t], y'[t]} at {x[t], y[t]} point in the direction you are going.

Solve the system using substitution. x+y=-2 and x-y=-8

Answers

Answer:

1) x+y=-2

x=-2-y

2) x-y=-8

substitude value of x

(-2-y)-y=-8

-2-2y=-8

-2y=-6

y=3

Substitute value of y in 1

x=-2-3

x=-5

Brainliest please~

A machining center is in charge of producing 225 parts per day. The parts width. Any parts produced between 250mm and 260mm are considered gless than 250mm must be reworked at an additional cost of $8 per part. 260mm must be reworked at an additional cost of $2.50 per part. The varquantified as a standard deviation of 5.0mm. Measurements on these parhave the ability to set up the machine to achieve whatever mean width value you wish.

Required:
Setup a data table to determine the mean width setting that will minimize expected rework cost ($8 per small part and $2.50 per large part).

Answers

Answer: 5.0•2.50
Reason: it’s first grade level math

If a number is divisible by 6 and 8 then is it also divisible by 48?

Answers

Answer:

No

Step-by-step explanation:

Let's look at an example

24

24 is divisible by 6   24/6 = 4  

24 is divisible by 8   24/8 = 3

24 is not divisible by 48  24/48 = 1/2  which is not an integer

Question 4(Multiple Choice Worth 1 points) (08.01 LC) What are the x-intercepts of the parabola? graph of parabola falling from the left, passing through 2 comma 3 to about 4 comma negative 1, and rising to the right, passing through 6 comma 3 (0, 3) and (0, 5) (0, 4) and (0, 5) (3, 0) and (5, 0) (4, 0) and (5, 0)

Answers

Answer:

(4, 0) and (5, 0)

Step-by-step explanation:

Given

See attachment for graph

Required

The x intercepts

This is the point where [tex]y = 0[/tex]

From the graph, we have the following as the x-intercepts:

[tex](x_1,y_1) = (4,0)[/tex]

[tex](x_2,y_2) = (5,0)[/tex]

Because the curve crosses the x-axis at the above points

Answer:

(4, 0) and (5, 0)

Step-by-step explanation:

have a great day and please mark brainliest!

Which of the following statements are true? ONLY ANSWER IF YOU KNOW THE ANSWER

Answers

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Answer:

  A, D, F

Step-by-step explanation:

A: true

B: false; it is positive

C: false; it may be positive: -1 -(-2) = +1

D: true, a variation of A

E: false; for c < 0, the inequality symbol reverses

F: true. This is the definition of an additive inverse.

G: false; multiplying anything by zero gives zero

H: false; -(-1) = +1, not a negative

PLEASE HELP!!
The probability that Barry Bonds hits a home run on any given at-bat is 0.16, and each at-bat is independent.

Part A: What is the probability that the next home run will be on his fifth at-bat? (5 points)

Part B: What is the expected number of at-bats until the next home run? (5 points)

Answers

Answer:

i think 5 points home run will be on his fifth at bat . 10 point isthe expected number of at bats until the next home rum.

Which expression is equivalent to (3x^2+4x-7)(x-2)

Answers

Answer:

Option C.

(3x² + 4x– 7)(x) + (3x² + 4x– 7)(–2)

Step-by-step explanation:

From the question given above, we obtained:

3x² + 4x– 7

x – 2

To know which option is correct, we shall obtained the product of the expression. The product of the expression can be obtained as follow:

(3x² + 4x– 7) (x – 2)

NOTE: (3x² + 4x– 7) will be multiplied by x and –2 as illustrated below:

x(3x² + 4x– 7) – 2(3x² + 4x– 7)

Rearrange

(3x² + 4x– 7)(x) + (3x² + 4x– 7)(–2)

Thus, Option C gives the correct answer to the question.

what is the perimeter of a square garden​

Answers

Answer:

Use this formula: length + length + width + width = perimeter

Step-by-step explanation:

Answer:

N/A

Step-by-step explanation:

I cannot solve this question without image
Tho I can tell you that you must multiply the length times 2 and the with times 2 to get the perimeter of the square

I need this nowwww important

Answers

Answer:

7,7,12.5

Step-by-step explanation:

since we know that 2 sides are equal,

4x+1=5x-0.5

5x-4x=1+0.5

x = 1.5

sub x = 1.5 into the different eqns

4(1.5)+1 = 7

5(1.5)-0.5 = 7

9(1.5)-1 = 12.5

A tumor is injected with 0.3 grams of Iodine-125, which has a decay rate of 1.15% per day. To the nearest day, how long will it take for half of the Iodine-125 to decay?

Answers

Answer:

The time required is 60.3 days.

Step-by-step explanation:

initial amount, No = 0.3 g

rate, r = 1.15 % per day = 0.0115 per day

final amount, N = 0.15 g

Let the time is t.

[tex]N = No e^{-rt}\\\\0.15 = 0.3 e^{-0.0115 t}\\\\0.5 =e^{-0.0115 t}\\\\- 0.6931 = - 0.0115 t \\\\t = 60.3 days[/tex]

I don’t know the answer!!
I’m new to this app and I need help if you know the answer please tell me I don’t know English very good please help me.

Answers

Answer:

A. 2.04 seconds

B. 5.92

C: 1.48 -  0.4 = 1.08 seconds    

Step-by-step explanation:

~~~~~~~~~~~~~~~~~~~~~

USE THIS TO GET "B"

the f(-b/2a) is the highest point,

the vertex of the parabola [-b/2a, f(-b/2a)] will give you the time

and height of the highest point

~~~~~~~~~~~~~~~~~~~

USE THIS TO GET "A"... you will get two answers one will be negative

ignore that one , the positive one is the time to hit the ground

if you factor the equation (use the quadratic formula) you will get

the "zeros" that is where the ball is on the ground...

~~~~~~~~~~~~~~~~~~~~~~~

THIS IS FOR PART "C"

if you set the equation equal to 4.5 meters and factor that for the "zeros" you will get the two times that the ball is at that height.. subtract the two times for the duration

The numbers of home runs that Barry Bonds hit in the first 18 years of his major league baseball career are listed below. Find the mean and median number of home runs. Round the mean to the nearest whole number. Which measure of central tendency- the mean or the median- best represents the data? Explain your reasoning.

16 25 24 19 33 25 34 46 37
33 42 40 37 34 49 73 46 45

Answers

Answer:

Mean = 35.56

Median = 35.5

Step-by-step explanation:

Given the data:

16 25 24 19 33 25 34 46 37

33 42 40 37 34 49 73 46 45

Reordered data :

16, 19, 24, 25, 25, 33, 33, 34, 34, 37, 37, 40, 42, 45, 46, 46, 49, 73

The mean = ΣX / n

n = sample size ; ΣX = sum of values

The mean = 658 / 18

The mean = 36.56

The Median = 1/2(n+1)th term

1/2(18+1)th term = 1/2(19)th term = 9.5 term

Median = (9th + 10th) / 2 = (34 + 37) / 2 = 35.5

Find x so that the distance between the points (1,2) and
(x, -10) is 13

Answers

Answer:

x = -4 or 6

Step-by-step explanation:

12^2 + (1-x)^2 = 13^2

(1-x)^2= 13^2 - 12^2

(1-x)^2= 25

1-x = 5

x = -4 or 6

A sample of 34 observations is selected from a normal population. The sample mean is 15, and the population standard deviation is 3. Conduct the following test of hypothesis using the 0.10 significance level. H0: μ ≤ 14 H1: μ > 14

Required:
a. Compute the value of the test statistic.
b. What is the p-value?

Answers

Answer:

1.944 ;

0.026

Step-by-step explanation:

Given :

Sample size, n = 34

Sample mean, xbar = 15

Population standard deviation, σ = 3

The hypothesis :

H0: μ ≤ 14

H1: μ > 14

The test statistic :

Test statistic = (xbar - μ) ÷ (σ/√(n))

Test statistic = (15 - 14) ÷ (3/√(34))

Test statistic = 1 / 0.5144957

Test statistic, Z = 1.944

The Pvalue :

Using the Pvalue from test statistic value :

Pvalue(1.944) = 0.026

Pvalue < α ; Reject H0

What is the solution to both systems A and B?
O(3, 4)
O (3,5).
O (4,3)
O (5,3)

Answers

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Answer:

  (c)  (4, 3)

Step-by-step explanation:

The next step in the solution of System B is to divide by 15 1/2. This will result in the equation ...

  x = 4

The only answer choice that has x = 4 is the ordered pair (4, 3). That ordered pair is the solution to the system.

__

  (15 1/2)x = 62   ⇒   (31/2)x = 124/2   ⇒   x = (124/2)/(31/2) = 124/31 = 4

Answer:

c

Step-by-step explanation:

got it right on the test

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