Mathematics High School



A plane intersects a double-napped cone such that the plane intersects both nappes through the cone's vertex.

Which terms describe the degenerate conic section that is formed?

Select each correct answer.


pair of intersecting lines

degenerate ellipse

degenerate hyperbola

line

point

degenerate parabola

Answers

Answer 1
It is both of ...
  pair of intersecting lines
  degenerate hyperbola
Answer 2

Answer:

degenerate hyperbola

pair of intersecting lines

Step-by-step explanation:

Related Questions

Graph the equations to solve the system Y equals 1/3 X +6 and why equals 1/3 X +4

Answers

For this case we have the following functions:
 y = (1/3) x + 6
 y = (1/3) x + 4
 We note that both lines have the same slope in this case given by:
 m = 1/3
 Therefore, the lines are parallel. As they are parallel, they are not cut at any point.
 Thus, the system of equations has no solution.
 Answer:
 The system has no solution (parallel lines)
Graph the equations to solve the system Y equals 1/3 X +6 and y equals 1/3 X +4

Following the formula: y=mx+b,
where:
m= slope
b=y-intercept
As observed in the given equations, they have the same slope which is equal to 1/3 but each have different y-intercept which is 6 and 4.

Note that two lines are parallel if their slopes are equal and they have different y-intercepts. 

Upon graphing, it had seen that the two functions are parallel.
See attached picture for the graph.

A total of 589 tickets were sold for a play. They were either adult tickets or student tickets. There are 61 fewer student tickets sold than adult tickets. How many adult tickets were sold?

HELLLPP ASAPPP

Answers

Adult tickets: 325
Student Tickets: 264

You can get this by setting adult tickets equal to x and student tickets equal to x - 61. Then you can set equal  to 589 and solve for x. 

Peaches varied directly as apples. when there were 40 peaches, there were 120 apples. how many apples went with 500 peaches?

Answers

Given that peaches varied directly as apples. then:
let the number of peaches be p and that of apples be a
hence
p=ka
where
k is constant of proportionality given by:
k=p/a
when:
p=40, a=120
thus
k=40/120=1/3
thus the equation will be:
p=1/3a
thus the number of apples where there are 500 peaches will be:
500=1/3a
multiplying both sides by 3 we get:
500×3=1/3a×3
a=1500

WHO LIKES PARABOLAS 3 MULTIPLE CHOICE
1. What is the vertex of the parabola? y−3=12(x+5)^2
2. The equation of a parabola is y=12x2+6x+23 .
What is the equation of the directrix?
y = 5.5
y = 4.5
​y = 2​
​y = 0.5
3.The equation of a parabola is 132(y−2)2=x−1 .
What are the coordinates of the focus?
(−7, 2)
(1, 10)
(1, −6)
(9, 2)

Answers

Question 1) Vertex of the Parabola.

[tex]y-3=12(x+5)^{2} \\ \\ y= 12(x+5)^{2}+3[/tex]

The vertex of the general parabolic equation:

[tex]y=a(x-h)^{2}+k [/tex]

lies at (h,k)

Comparing the given equation to general equation, we can write:

h = - 5
k = 3

So, the vertex of the given parabola will be (-5, 3)

Question 2) Equation of Directrix

The correct equation of the parabola is:

[tex]y= \frac{1}{2} x^{2} +6x+23 \\ \\ [/tex]

First we need to convert the equation to standard form as shown below:

[tex]y= \frac{1}{2}( x^{2} +12x)+23 \\ \\ y= \frac{1}{2}( x^{2} +12x+36)+23- \frac{1}{2}(36) \\ \\ y= \frac{1}{2}(x+6)^{2}+5 \\ \\ y-5= \frac{1}{2}(x+6)^{2} \\ \\ 2(y-5)=(x+6)^{2} \\ \\ 4( \frac{1}{2})(y-5)= (x+6)^{2}[/tex]

The directrix of the general parabola of the form:

[tex]4p(y-k)=(x-h)^{2} [/tex]

is y = k - p

Comparing equation of given parabola with general parabolic equation, we can write:
p =1/2
k = 5

So, equation of directirx will be:

y = 5 - 1/2 = 4.5

So, option B gives the correct answer.

Question 3) Focus of the parabola

The correct equation of the parabola is:

[tex] \frac{1}{32}(y-2)^{2}=x-1 \\ \\ (y-2)^{2}=32(x-1) \\ \\ (y-2)^{2}=4*8(x-1)[/tex]

Comparing this equation to the general parabolic equation, we can write:
p=8
h =1
k = 2

The focus of the parabola will be at (h+p,k) = (9,2)

So the focus of the parabola is at (9,2)

Thus, option D gives the correct answer.

What is the inverse of the function f(x)= 19/x^3 ?

Answers

[tex]f(x)=\dfrac{19}{x^3}\to y=\dfrac{19}{x^3}\\\\\dfrac{y}{1}=\dfrac{19}{x^3}\ \ \ \ |cross\ multiply\\\\yx^3=19\ \ \ \ |:y\neq0\\\\x^3=\dfrac{19}{y}\to x=\sqrt[3]{\dfrac{19}{y}}[/tex]
Answer: [tex]f^{-1}(x)=\sqrt[3]{\dfrac{19}{x}}[/tex]

What is the eleventh term in the sequence 17, 24, 31, 38…?

Answers

I got 87. hope this helps!

A function has a domain of {1, 3, 5, 7} and a range of {2, 4, 6}. Which set of ordered pairs represents this function?

A.{(1, 2), (3, 4), (5, 6), (7, 2)}
B.{(1, 2), (3, 6), (5, 4), (5, 2)}
C.{(1, 2), (3, 2), (5, 2), (7, 2)}
D.{(1, 4), (3, 4), (5, 6), (7, 6)}

Answers

For this case we have the following domain:
 {1, 3, 5, 7}
 We have the following range:
 {2, 4, 6}
 A value of the range belongs to each value of the domain.
 Therefore, the ordered pairs are:
 (1, 2)
 (3. 4)
 (5, 6)
 Answer:
 A. {(1, 2), (3, 4), (5, 6), (7, 2)}

Which of the following segments is a radius of O?
Please help

Answers

Possibly B. RO. maybe even
ANSWER

The segment that is a radius is

[tex]\bar{RO} [/tex]

EXPLANATION

A radius is any line segment from the center of a circle to the circumference.

From the above diagram, the center of the circle is O.

The points on the circumference are A, R S and T.

The only line from the circumference to the centre in the options above is the line segment RO.

The correct answer is B.

Note however that

[tex]\bar{AS}[/tex]
is a diameter, which is a special chord.

[tex]\bar{RA}[/tex]

is a chord.

[tex]
\bar{ST}[/tex]
is also a chord.

Due tomorrow. Please help!!!!

Answers

The common difference can be found from
[tex]d=\dfrac{a_{17}-a_{7}}{17-7}=\dfrac{81-41}{17-7}=\dfrac{40}{10}=4[/tex]
The first term of the sequence can be found from either of the given terms.
[tex]a_{7}=41=a_{1}+(7-1)d=a_{1}+24\\a_{1}=41-24=17[/tex]

The sum of 40 terms is
[tex]S_{40}=\dfrac{40}{2}(a_{1}+a_{40})=20(17+(17+39\cdot 4)=20\cdot 190=3800[/tex]

The sum of the first 40 terms is 3800.

Someone please help me?

Answers

because both AP and BP are tangent lines they are the same length so we will set them to equal each other to solve for x

AP = BP

3x-4 = 2x +12

subtract 2x from each side:

x-4 = 12

add 4 to each side:

x = 16

now we know x, replace x with 16 in the equation for AP:

AP = 3(16) -4
AP = 48 -4
AP = 44 meters

What is the equation for a line that passes through the points (-3,-3) and (6,21)?

Answers

[tex]\bf \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &&(~ -3 &,& -3~) % (c,d) &&(~ 6 &,& 21~) \end{array} \\\\\\ % slope = m slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{21-(-3)}{6-(-3)}\implies \cfrac{21+3}{6+3}[/tex]

[tex]\bf \cfrac{24}{9}\implies \cfrac{8}{3} \\\\\\ % point-slope intercept \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-3)=\cfrac{8}{3}[x-(-3)] \\\\\\ y+3=\cfrac{8}{3}(x+3)\implies y+3=\cfrac{8}{3}x+8\implies y=\cfrac{8}{3}x+5[/tex]

how do I solve this?

Answers

Distribute the exponent power of 2 to each term:
[2² * (√(3x⁵))² - 2² * (√y)²]

Now simplify. Placing a square root to the power of 2 just cancels each other out so you're left with:
[4(3x⁵) - 4y]

Simplify again for your answer:
12x⁵ - 4y

A translation is applied to the rectangle formed by the points A(−2, 6) , B(2, 6) , C(2, 4) , and D(−2, 4) . The image is the rectangle that has vertices ​ A′(1, 6) ​, ​ B′(5, 6) ​, C′(5, 4) and D′(1, 4) . Select the phrase from the drop-down menu to correctly describe the translation. The rectangle was translated .

Answers

The triangle was translated 3 units to the right horizontally. (x+3, y)
You can just move one of the points to see how it moved. 

Answer:

The answer is 3 units to the right.

Step-by-step explanation:

Two apples and three peaches cost $1.65. three apples and two peaches cost $1.60. what is the cost of one peach

Answers

Let a = cost of an apple and p = cost of a peach

From the two statements we can create the following system of equations:
2a + 3p = 1.65
3a + 2p = 1.60

Since we want to know the cost of a peach, let's eliminate the "a" terms by creating opposites.  The LCM for 2 and 3 is 6 so I will multiply the top equation by 3 and the bottom equation by -2. This will create opposites to cancel "a" terms.
3(2a + 3p = 1.65)  →  6a + 9p = 4.95
-2(3a + 2p = 1.60) → -6a - 4p = -3.20
The result of adding →       5p = 1.75
The result of ÷ 5 →              p = .35
This means one peach cost .35 or 35 cents
Let number of apples be a and peaches be p.
Number of apples = a
Number of peaches = p

Two apples and three peaches cost $1.65
⇒2a + 3p = 1.65

Three apples and two peaches cost $1.60
⇒3a + 2p = 1.60

System Equations :
[tex]\begin{cases}&2a + 3p = 1.65 ---- (1) \\&3a + 2p = 1.60 ---- (2)\end{cases}[/tex]

[tex]\begin{cases}&\text{Equation (1}) \times3: 6a + 9p = 4.95 ---- (1a) \\&\text{Equation (2}) \times2: 6a + 4p = 3.20 ---- (2a)\end{cases}[/tex]

Equation (1a) - (2a) :
[tex] \begin{aligned} &5p = 1.75 \\&p = 0.35&\end{aligned} [/tex]

Answer: $0.35

Today an exercise equipment store took 15% off the price of a treadmill, and for the next 2 days, it will take 15% off the previous day's price. If the price of the treadmill yesterday was $4000, what will be the price of the treadmill 2 days from now? (5 points: Part I – 1 point; Part II – 1 point; Part III – 1 point; Part IV – 2 points)

Answers

To find the price of the treadmill, you can calculate the amount you will pay after each day and then multiply by the percentage that you will pay for each additional day.

You should use 85% (100% - 15%) as the part you will pay for a quicker calculation.

$4000 x 0.85 = $3400 (after the first day)
$3400 x 0.85 = $2890 (after the second day)
$2890 x 0.85 = $2456.50 (after third day)

If the price of the treadmill yesterday was $4000, what will be the price of the treadmill 2 days from now?  I interpreted this as the discount would be applied for 3 days.

Craig is designing a new cylinder-shaped can for a pet food company. He wants the height of the can to be 40 mm and the radius of the can to be 1 3/8 times the height of the can. He models the can on a coordinate grid as a rectangle in the first quadrant that will be rotated around the y-axis to create the 3-dimensional can. What will be the diameter of the can?

Answers

The height of the can for this case is given by:
 h = 40 mm
 The radius of the can is given by:
 r = (1 3/8) * h
 Substituting values:
 r = (1 3/8) * 40
 r = 55 mm
 Therefore, the diameter of the can is:
 d = 2 * r
 d = 2 * 55
 d = 110 mm
 Answer:
 The diameter of the can will be:
 d = 110 mm

If the reserve rate is 6% and a bank receives a deposit of $14,000, how much of the $14,000 is the bank free to loan out?

Answers

Apex said $13160 was the right answer

The bank must keep 6% of the $14,000 deposit as a reserve, which amounts to $840. Therefore, it is free to loan out the remaining $13,160.

If the reserve rate is 6% and a bank receives a deposit of $14,000, the bank is required to keep 6% of that deposit as reserves. To calculate the amount the bank needs to keep in reserves, we multiply the total deposit by the reserve rate:

Reserve amount = Total deposit x Reserve rate

Reserve amount = $14,000 x 0.06 = $840

Now, to find out how much the bank is free to loan out, we subtract the reserve amount from the total deposit:

Amount available for loans = Total deposit - Reserve amount

Amount available for loans = $14,000 - $840 = $13,160

The bank can loan out $13,160 of the initial $14,000 deposit.

What percent of 51 is is 40?

Answers

the answer is 78.43%

{3, 4, 7} list all the subsets.

Answers

A subset is a collection of items drawn from the original larger set. A subset can have the same number of items as the original set or the count can be smaller. 

Subsets that have 3 items: {3, 4, 7} which is the original set. Any set is a subset of itself. 

---------------------------------------------------------------------------------------

Subsets that have 2 items
{3, 4}, {3, 7}, {4, 7}

---------------------------------------------------------------------------------------

Subsets that have 1 item
{3}, {4}, {7}

---------------------------------------------------------------------------------------

Subsets that have 0 items: the empty set which we write { } or using the symbol [tex]\varnothing[/tex]

---------------------------------------------------------------------------------------

So all together we have 8 subsets
{3, 4, 7}
{3, 4}, {3, 7}, {4, 7}
{3}, {4}, {7}
{ }

Side Note: There are n = 3 items in the original set so there are 2^n = 2^3 = 8 subsets possible. The collection of all subsets is known as a power set.

Final answer:

The subsets of {3, 4, 7} are {}, {3}, {4}, {7}, {3, 4}, {3, 7}, {4, 7}, {3, 4, 7}

Explanation:

When listing all the subsets of {3, 4, 7}, we include the empty set {}, as well as all the subsets that can be formed by selecting one or more elements from the original set. In this case, the subsets are:

{}{3}{4}{7}{3, 4}{3, 7}{4, 7}{3, 4, 7}

Learn more about Mathematics here:

https://brainly.com/question/26854035

#SPJ3

two negative integers have a sum of -18 and a product of 80. what are the integers?

Answers

The two integers your looking for are -8, and -10. -8+-10=-18
                                                                               -8*-10=80
Please rate brainliest if this helped you.
Hello!

The most reasonable answer would -8 and -10.

-8 * -10 = 80

-8 + -10 = 18

Hope I helped!

A professor wants to arrange his books on a shelf. he has 30 books and only space on the shelf for 20 of them. how many different 20-book arrangements can he make using the 30 books? this is an example of a problem that can be solved using which method?

Answers

This is an example of a problem that can be solved using combination. 

The number of possible arrangements is 
     [tex]P\left(30,20\right)=\frac{30!}{\left(30-20\right)!\times 20!}=30,045,015[/tex]

There are 30,045,015 possible 20-book arrangements. 

Answer:  Total arrangement are 30045015

Given problem will be solved with help of combination.

Step-by-step explanation:

When we find the arrangement in which the order does not matter then we use combination,

Here, we have to find the possible arrangement in which order does not matter,

Thus, we will use combination to find the answer.

Here the total number of books = 30

A self contains, the number of book = 20,

Hence, the total arrangement of 20 books out of 30 books

[tex]=^{30}C_{20}[/tex]

[tex]=\frac{30!}{20!(30-20)!}[/tex]

[tex]=\frac{30\times 29\times 28\times 27\times 26\times 25\times 24\times 23\times 22\times 21}{10!}[/tex]

[tex]=\frac{4.9557887\times 10^{12} }{3628800 }=30045015 [/tex]

The chord AB is a diameter of O. True or false.

Answers

Answer:

False.

Step-by-step explanation:

We have been given a graph and a statement. We are asked to determine whether the given statement is true or false.

Statement: The chord AB is a diameter of O.

We know that diameter of a circle is a chord that passes through the center of the circle.

Upon looking at our given graph, we can see that chord AB doesn't pass through the center at point 'o', therefore, AB is not a diameter of circle O.

Therefore, the given statement is false.

Answer: False

Step-by-step explanation:

I just got it right on the quiz

An item is priced at $13.04. If the sales tax is 5%, what does the item cost including sales tax? If necessary, round to the nearest cent.
A.
$13.56
B.
$13.24
C.
$12.39
D.
$13.69

Answers

The answer would be D
to find 5% you have to multiply by 0.05 

13.04 * 0.05 = 0.652
When you round it to the nearest cent you get 69 cents
so the answer is D) 13.69 

How do I do this? Please help

Answers

with intersecting chord lengths multiplying the 2 given lengths of one chord needs to equal the multiplication of the 2 lengths of the 2nd chord

so on chord FH you have 3.5 and 4.8
 multiply those:  3.5 x 4.8 = 16.8

so now chord GI needs to equal 16.8
 to find Y divide 16.8 by 2.4

y = 16.8 / 2.4 = 7

y = 7


answer these questions. Number 1 and number 2.

Answers

It would kinda make a triangle shape the others doesn't match and for the second one i'd be out of both cones.
1) The shape of the cross section is a triangle.

2) A cone, the top right one, is being formed by the rotation.

Robin says that polynomials are closed under division. Brad adamantly disagrees. Who is correct? Justify your answer.

Answers

Brad is correct.

Polynomials do not include negative exponents; this means there can be no variables in the denominator.  If two polynomials do not divide evenly, the remainder is written as a fraction with the divisor (which can include a variable) in the denominator.  This is not a polynomial.

Complete the solution of the equation. Find the value of Y when X equals 2. 2x - 2y = 22

Answers

2x - 2y = 22

substitute 2 as the value of x.

we get;

2*2 -22 = 2y
4 - 22 = -18 = 2y
y = -9

The value of Y when x = 2 is y = -9

A school play cost $1,200 to produce. if tickets sold for $5 each, the profit, p, made on the play by selling x tickets is given by the equation shown. p=5x−1,200 what is the slope of the line representing this equation?

Answers

5. 

Slope is always the number attached to x. 

The slope of the line representing this equation will be;

⇒ $5

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The tickets sold for $5 each, the profit, p, made on the play by selling x tickets is given by the equation shown,

⇒ p = 5x - 1,200

Now,

We know that;

The slope - intercept form of an equation is,

y = mx + c

Where, 'm' is slope of the line and 'c' is y - intercept.

Here, The equation is,

⇒ p = 5x - 1200

By comparing, we get;

⇒ Slope (m) = 5

Thus, The slope of the line representing this equation = 5

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ5

The population of a town increased from 5,400 to 6,000 people. What was the percent of the increase?

Answers

increase = 6000 - 5400 = 600

percentage increase = 600/5400 x 100 = 11.11%

Answer: 11.11%

An acrobat was launched toward a water tank, with an upward velocity of 48 feet per second. The launch point was 32 feet below the water level in the tank. Use the quadratic equation 0 = -16t2 + 48t – 32 to find how much time, t, it took for her to reach the water level in the tank.

Answers

Answer:

1 or 2 seconds

Step-by-step explanation:

Math papa

Answer:

B. 1 or 2 seconds

Step-by-step explanation:

ttm

Other Questions
A coin is tossed 100 times resulting in 46 heads and 54 tails. The same coin is tossed 1000 times resulting in 495 heads and 505 tails. What is the theoretical probability of getting heads with this coin? Write the overall equation for the conversion of pyruvate to acetyl coa. express your answer as a chemical equation. how much pesticide will each snake take in compared to each grasshopper A car rental agency advertised renting a car for $ 26.95 per day and $ 0.28 per mile. if brad rents this car for 4 days, how many whole miles can he drive on a $ 250 budget? Laney is 4 ft 8 in tall there are 2.54 centimeters in one inch what is Laney's height in centimeters In the 1960's, the Republicans began to make gains in South Carolina primarily because the party A ) appealed to black voters. B ) appealed to women voters. C)took an anti-civil rights stand. D)supported civil rights legislation. What kind of trees are present in broadleaf forests?adaptableepiphytedeciduousdormant Young workers are vulnerable to injuries due to lack of (Blank) . A.) Enthusiasm B.)Obedience C.)Experience D.)Commitment The Newbridge Spartans are painting their gymnasium. They need to paint 2,224 square feet. If they have already painted 922 square feet, how many more square feet do they have left? What is the bond angle in a tetrahedral molecule? 120 180 109.5 90 When german troops crossed the border into _______, world war ii began? Who is the Goddess of the Hearth? Commercial speech has not been accorded any protection under the first amendment of the u.s. constitution. a. True b. False Choose the molecule or compound that exhibits dispersion forces as its strongest intermolecular force.choose the molecule or compound that exhibits dispersion forces as its strongest intermolecular force.cohbrcl2naclall of these have intermolecular forces stronger than dispersion. In what portion of the country were most of the areas of rebellion located What kind of circuit is the one shown below? The formula for carbohydrates is C n H 2n O n . Which statement accurately describes this general formula?A_There are more carbon atoms than oxygen atoms.B_There are twice as many carbon atoms as hydrogen atoms.C_The ratio of the atoms is 1:1:2 in the carbohydrate formula.D_There are twice as many hydrogen atoms as carbon atoms. PLEASE I NEED HELP FRENCH IS HARDPLEASE PLEASE PLEASE HELP ME!!!!!!NO GOOGLE TRANSLATEDescribe your town. Include at least six places there are (il y a) in your town and two that there are not (il n'y a pas).EX: Il y a une bibliothque.Il n'y a pas de piscine. Hydrocarbons are chain-like or ring-like molecules made of carbon and ________ atoms. Answer the following questions in paragraph forms, giving at least 3 details/examples for eachHow is deviance good for society?How is deviance bad for society?