What are Conic Sections and how are they formed?

Answers

Answer 1

Answer:

In mathematics, a conic section is a curve obtained as the intersection of the surface of a cone with a plane. The three types of conic section are the hyperbola, the parabola, and the ellipse; the circle is a special case of the ellipse, though historically it was sometimes called a fourth type.

Conic sections are formed on a plane when that plane slices through the edge of one or both of a pair of right circular cones stacked tip to tip.


Related Questions

6t^2/5+11t^1/5+3=000

Answers

You didn't provide a lot of info regarding the given question, however if you are looking to solve for t:

_______________________________________________

Isolate the variable by dividing each side by factors that do not contain the variable.

Solution's Exact Form:

[tex]t=-\frac{1}{243},-\frac{243}{32}[/tex]

_______________________________________________

Hope this helps! If not, please provide further info if you can regarding this question and I'll see what else I can do to help. If this did help however, lmk! Thanks and good luck!

carla wrote this number:815,247 travis wrote this number: 638.571 the digit 8 in carlas number represents how many times what the digit 8 represents in travis number?(55 points)

Answers

The 8 in Carla's number is 100 times the 8 in Travis' number.

How many times what the digit 8 represents in Travis number?

Here you need to understand the concept of place value. For any number, each digit is always a order of magnitude of 10 larger than the digit in the left.

For example, in 88

The first 8 is 10 times larger than the second one.

There comes the concept of place value, the first digit at the left of the decimal point represents the units, the second represents the tens, the third one the hundresd, and so on.

So, in the two given numbers:

815,247 Here the 8 represents the hundreds of thousands.

638,571 Here the 8 is in the thousands place value.

Then the relation between the first 8 and the second one is:

100,000/1,000 = 100

The 8 in Carla's number is 100 times the 8 in Travis' number.

If you want to learn more about place value:

https://brainly.com/question/12386995

#SPJ1

1/2(x + 6) = 1/2x - 9

Answers

Answer:

i think the question might be wrong.

Given the equation, we can solve through steps:

1. Distribute

1/2 • x = 1/2x
1/2 • 6 = 3

2. Simplify

1/2x + 3 = 1/2x - 9

3. Add 3 to both sides

1/2x + 3 + 3 = 1/2x - 9 + 3

Step 4. Simplify

1/2x + 6 = 1/2x - 6

We have our solution: there is no solution. The coefficients are of a common value and the constant is comprised of opposite integers.

Help me with this problem please

Answers

Inferential Statistics!
Inferential statistics

1. If A*B= A·B+1 and A□ B = A+B/2, then find 3 *[(7 □ 3) □ (3*4)].

2. If * represents and operation defined by a*b= a^b +b, find (1*2)*3.

Explain PLEASE!!!

Answers

The required solution would be 46 for a given problem (1).

The required solution would be 1 for a given problem (2).

What are Arithmetic operations?

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

We have been given that A * B= A·B + 1 and A □ B = A + B/2,

⇒ 3 *[(7 □ 3) □ (3*4)].

⇒ 3 *[(7 + 3/2) □ (3·4 + 1)].

⇒ 3 *[(17/2) □ (13)].

⇒ 3 *[17/2 + 13/2].

⇒ 3 *[30/2].

⇒ 3 * 15.

⇒ 3·15 + 1

⇒ 46

We have been given that * represents an operation defined by a*b= a^b +b,

find (1*2)*3.

⇒  a∗b = aᵇ + b

∴ (1 ∗ 2) ∗ 3 = (1²) ∗ 2 =  (1) ∗ 2 = (1)³ = 1

Therefore, the required solution would be 46 for a given problem (1) and

the required solution would be 1 for a given problem (2).

Learn more about the arithmetic operations here:

brainly.com/question/25834626

#SPJ1

In the expansion of (1 + ax)24 where a > 0, the coefficient of x² is 1104. Find the value of a.​

Answers

The required value of a is 2 if ​the coefficient of x² is 1104 of the expansion (1 + ax)²⁴.

What is the Binomial Theorem?

According to the binomial theorem, it is possible to expand any non-negative power of binomial (x + y) into a sum of the form,

(x+y)ⁿ = ⁿC₀xⁿy₀ + nC₁ xⁿ⁻¹y₁ + nC₂ xⁿ⁻² y2 + ... + nC x¹yⁿ⁻¹ + nCn x°yⁿ

where n ≥ 0 is an integer and each ⁿCₓ is a positive integer known as a binomial coefficient.

We have been given that the expansion as

(1 + ax)²⁴

As per the binomial theorem expansion of the term 3,

T₃ = ⁿC₂ a² x²

Since the coefficient of x² = 1104

⇒ n!/2!(n-2)a² x² = 1104

Here n = 24

⇒ 24!/2!(24-2)a² = 1104

⇒ 276a² = 1104

⇒ a² = 1104/276

⇒ a² = 4

⇒ a = 2

Therefore, the required value of a is 2 if ​the coefficient of x² is 1104 of the expansion (1 + ax)²⁴.

Learn more about the binomial theorem here:

brainly.com/question/27813780

#SPJ1

Can you help me solve for X. 4x+9=11

Answers

the answer is x= 1/2

Answer as a fraction:  x = 1/2

Answer in decimal form:  x = 0.5

Work Shown:

4x+9 = 11

4x = 11-9

4x = 2

x = 2/4

x = 1/2

x = 0.5

Explanation: I subtracted 9 from both sides (step 2). Then I divided both sides by 4 to fully isolate x (step 4)

Refer to the number line. Find the coordinate of point X such that the ratio of MX to XJ is 3:1.

Answers

The coordinate of point X such that the ratio of MX to XJ is 3:1 is 12

How to determine the coordinate of point X?

The coordinates are given as:

M = 2

J = 18

The ratio is given as:

Ratio = 3 : 1

The location of the point X is then calculated as:

X = Ratio * (J - M)

This gives

X = 3/(3 + 1) * (18 - 2)

Evaluate

X = 3/4* 16

This gives

X = 12

Hence, the coordinate of point X such that the ratio of MX to XJ is 3:1 is 12

Read more about line segment ratio at:

brainly.com/question/12959377

#SPJ1

Step-by-step explanation:

show how to work out the question

Helppp!

h(x)=x^2-6

Evaluate h(-3)

Answers

Answer:

3

Step-by-step explanation:

input -3 into h(x)=x^2-6

h(-3)=-3^2-6=9-6=3

Can someone please help Find the perimeter of each

figure using the given side lengths?????????

Answers

The perimeter of the figure using the given side lengths is 12x - 10

What are perimeters?

The perimeter of a shape is the sum of the side lengths of the shape.

For all regular quadrilaterals, you add up the side lengths to determine the area

How to find the perimeter of the figure using the given side lengths?

From the given figure, we have the side lengths to be:

x, 2x + 5, 6x - 17 and 3x + 2

Add these side lengths

So, we have

Perimeter = x + 2x + 5 + 6x - 17 + 3x + 2

Evaluate the like terms

Perimeter = 12x - 10

Hence, the perimeter of the figure using the given side lengths is 12x - 10

Read more about perimeter at

https://brainly.com/question/24571594

#SPJ1

Find all x-intercepts of the function. Express your answer as a list of x-values.
f(x)=-2x^5+10x^3

Answers

Answer:

Step-by-step explanation:

45

Translate to an equation, but do not simplify or solve.
Eight more than x is equal to 53.
Solve the equation.
X =
+

Answers

Answer:

x + 8 = 53

Step-by-step explanation:

x + 8 = 53

8 more than x is x + 8 because ur adding 8 more to x. And that is equal to 53 because it literally says IS EQUAL to 53. therefore.

to solve isolate x by subtracting 8 from both side so:

x = 53-8

x = 45

Find the equation of a line whose graph passes through the points (8,1) and (0,1)

Answers

Answer: y=1

Step-by-step explanation:

Slope formula: m=(y2-y1)/(x2-x1)

m=(1-1)/(0-8)

m=0/(-8)

m=0

y=mx+b

1=0(0)+b

b=1

y=0x+1

y=1

Find the area and perimeter. The figure shows a triangle. One side is given by x minus 7 units. The second side is given by 2 x plus 5 units. The third side is equal to 12 units. The height from the third side is given by x plus 6 units. Hint: The height of a non-right triangle is the length of the segment of a line that is perpendicular to the base and that contains the opposite vertex. 12x + 72; 3x + 10 6x + 36; 3x + 10 6x + 36; 10x + 3 12x + 72; 10x + 3

Answers

Area of the triangle = 6x + 36

Perimeter of the rectangle = 3x + 10

How to Find the Area and Perimeter of a Triangle?

Given the following parameters of a triangle as shown in the image attached below, its area and perimeter is calculated as shown below?

Area of the triangle = 1/2(base)(height) = 1/2(12)(x + 6)

Area of the triangle = 6(x + 6)

Area of the triangle = 6x + 36

The perimeter of the triangle = sum of all the three sides of the given triangle = (x - 7) + (2x + 5) + (12)

Perimeter= x - 7 + 2x + 5 + 12

Add like terms

Perimeter= x + 2x  - 7 + 5 + 12

Perimeter= 3x + 10

Therefore, we have:

Area of the triangle = 6x + 36

Perimeter of the rectangle = 3x + 10

Learn more about the area and perimeter of a rectangle on:

https://brainly.com/question/24571594

#SPJ1

Question -: If ( 1 + tan θ ) ( 1+ ∅ ) = 2 , then what is ( θ + ∅ ) ?
a . 30⁰ b. 45⁰ c. 60⁰ d. 90⁰
Answer this question
Please Give Explanation ​
thanks

Answers

Answer :

Correct choice is B.) 45°

The solution is in attachment ! do check it

Step-by-step explanation:

6.25 points

Find the GCF for the list.

10m4, 40m⁹

10m5

40m4

10m4

6.25 points

hey

list

which expression represents an irrational number

Answers

5/4 is a rational number

3/4 + 7/8 + 3/4 + 1/2 + 7/8

Answers

Answer:

=

15/4

(Decimal: 3.75)

Step-by-step explanation:

If P=5+7+9+11+...+101 and Q=9+11+13+15+...+103 are sums of arithmetic sequences, determine which
is greater, P or Q, and by how much.

Answers

In the sequence, Q is greater by 115.

How to calculate the value?

From the information, P=5+7+9+11+...+101 and Q=9+11+13+15+...+103.

It should be noted that by looking at the figures the greater value will be Q as it began with a higher number.

The difference will be:

= 5 + 7 + 103

= 115

Therefore, in the sequence, Q is greater by 115.

Learn more about sequence on:

brainly.com/question/6561461

#SPJ1

When you draft a budget, you should include an _________________. This is extra money set aside to be used for unpredictable expenses, such as medical bills and vehicle repairs.

Group of answer choices

annual expenses

expense summary

fixed expenses

Emergency fund

Answers

Answer:When you draft a budget, you should include an _________________. This is extra money set aside to be used for unpredictable expenses, such as medical bills and vehicle repairs

Step-by-step explanation:

See your levels
Mr. Camacho has 275 rubber stamps. He wants to give the same number of stamps to
each of his 8 students. If he gives away as many stamps as he can, how many stamps will be
left over?
Submit
rubber stamps
I do
Company Blog Help center User guides Tell us what you think Testimonials Contact us Terms of service Priva
IM LEARNING 2022 IXL Learning. All rights reserved.

Answers

Answer:

3 Stamps left

Step-by-step explanation:

275/8=34.375

34*8=272

275-272=3

Answer: 3

Find the next item in the
pattern:
-3, 6, -12, 24, ...

Answers

Answer: -48, 96, -192 ….. ( basically we just multiply the last number we found with -2)

A function, fx), represents the height of a plant x months after being planted. Students measure and record the height on a monthly basis.
Select the appropriate domain for this situation.
OA
the set of all integers
OB. the set of all positive real numbers
OC. the set of all positive integers.
OD. the set of all real numbers

Answers

Answer:

  C. the set of all positive integers

Step-by-step explanation:

You want to know the appropriate domain of the function f(x) where x is months after a plant was planted, and f(x) is the height of the plant.

Domain

The domain of a function is the set of values of the independent variable for which the function is defined. In this case, the independent variable is x, the number of months after the plant was planted. Months are counted using the natural numbers, the set of all positive integers.

The appropriate domain is the set of all positive integers.

__

Additional comment

As a practical matter, the domain will have an upper limit, so will not actually be all positive integers.

The range of function values is likely the set of positive real numbers, though it might be integers if the measurements are recorded as integer values (mm or cm or in, for example).

if it takes 6 men 25 hours to dig 5 holes, how many hours does it take to dig 5 holes with 10 men

Answers

Answer: Answer is 15 hours

Step-by-step explanation:Given 6 men dig 5 holes in 25 hours

Therefore 10 men will take to dig 5 holes is

workers(1) × time(1) = workers(2)×time(2)

(This formula is used when Total work is same)

where workers(1)= 6 men

Time (1) = 25 hours

workers (2) = 10 men

We have find out Time(2)=T(2)

by applying above formula

6×25=10×T2

after simplify

T2= 15 hours

A school needs 3,198 notebooks for next year. If the notebooks come in packages of 82, how many packages should the school buy?

Answers

Answer:

The school should buy 39 packages.

Step-by-step explanation:

3198 notebooks

82 notebooks = 1 package

3198÷82 = 39

(Eg: you have 4 notebooks and there are 2 in each package. How many packages are there?  4÷2 = 2   So 2 packages)

About how many pizzas does Mr. T's Pizzeria sell each week? Remember, there are 7 days in a week.

Mr. T's Pizzeria Daily Sales
Types of Pizza Number of Pizzas

Pepperoni 29
Sausage 35
Veggie 42
Cheese 28
A.
about 1,000 pizzas

B.
about 1,200 pizzas

C.
about 1,400 pizzas

D.
about 2,000 pizzas

Answers

Answer:  a

Step-by-step explanation: hope it helps.

What is the probability of
spinning a yellow?
[?]%

Answers

Answer:

12.5 %

Step-by-step explanation:

There are 8 total sections, and only one of them is yellow. So if we spun it eight times, the possibility of getting yellow is one time. As a result, 1/8 is 12.5%

If two rays share an endpoint,then they are opposite rays

Answers

When their endpoint angle measure up to 180 then they can be called opposite rays


Find an equation of variation in which y varies jointly as x and z, and y= 48 when x = 8 and z=6

Answers

Answer:

y = xz

Step-by-step explanation:

Joint variation equation:

y = kxz, where k- coefficient of variation

Given

y = 48,x = 8,z = 6

Find the value of k by plugging in the given values:

48 = 8*6k48 = 48kk = 1

The equation is:

y = xz

HELP ASAP!!!
Evaluate the polynomial for the given value by using synthetic division.
P(x) = 3x4 - x³ + 7x - 2 for x = 4 and x = -2
A.802; 52
B.-238; 32
C.730; 40
D.202; -44

Answers

Answer:

I'm assuming that is 2x squared, and not 2 multiplied by 2, as a given question usually wouldn't come in such a silly format. I do wish people would start using (2x^2) or (2x²), though.Just substitute the value of x (-3) in to the equation to find the value of y, or P(x).2(-3)² + 7(-3) - 1 = -4

Step-by-step explanation:

A charter tours bus driver can fit an average of 54 passengers on his bus for each tour. He is scheduled to run 9 tours over the next month. At this rate, how many passengers will he give tours to on his bus?

Answers

The number of passengers that he will give tours to on his bus is 486 passengers.

How to compute the value?

From the information, the charter tours bus driver can fit an average of 54 passengers on his bus for each tour and he is scheduled to run 9 tours over the next month.

The number of passengers that he will be able to carry will be:

= 54× 9

= 486

There'll be 486 passengers.

Learn more about computations on:

brainly.com/question/4658834

#SPJ1

Other Questions
Exercise 1 Underline the adjective clause, and circle the noun or pronoun it modifies. The trail they followed was marked with handkerchiefs. The equation 2x26x9=0 has two solutions. 7. Amutualism type of relationship is different from a parasitic relationship because in mutualism, (a) both organisms involved benefit (b) none of the organisms benefits or harm each other (c) both organisms harm each other (d) only one of the organisms is harmed. The table below shows the number of some organisms in habitats W and Y. Study it and answer questions 28 to 30. Organisms Plankton Antelope Water flea Tilapia Lion Frog Grass Number in the habitat Habitat W Habitat Y 0 51 126 0 10 23 0 6 0 C 0 0 6 0 250 37 32 3 Studying how a student allocates his/her time between school and video games is an example of? Ethics is the set of _______ principles or core values for deciding between right and wrong. 11x + 9x -8y + 514. What are the coefficients of the expression above?15. What is the degree of the expression?16. What is the constant of the expression?17. How many terms are in the expression?18. Write the expression listed above in standard form. A tortoise can run with a speed of 16.3 cm/s, and a hare can run 220.2 cm/s. In a race, they both start at the same time, but the hare stops to rest for 1.6 min. The tortoise wins by 108 cm.What was the length of the race in cm? Step 3.Drag lone pairs of electrons to each terminal atom until each has an octet of electrons, or until all electrons are used. You may remove a lone pair by clicking on it. Check your answer. can someone solve this please, thank you A number and another number which is 3 times 1 less than the first number add to 17. what are the numbers? True or false highly organized and developed resources in our national institutions and organizations can be a hindrance for communities to respond effectively to their own problems. Line A and Line B are parallel. Line P is a transversal. If the measure of angle 8 is 140, find the measures of the rest of the angles in the diagram. Then tell what the angle relationship is to angle 8. Over 40 percent of member nations of the international monetary fund have? Which client should the nurse anticipate will be at greatest risk for alteration in quality of life as a result of loss? Which equation represents the relation that is shown in the graph?Cost of Buying Comic BooksOn a coordinate plane, a graph titled Cost of Buying Comic Books has number of issues on the x-axis and total cost on the y-axis. A line goes through points (0, 0), (1, 3.5), (2, 7). You want to know how much total energy is required to operate a 100-watt light bulb. do you need any more information? . The width of a rectangular plot of land is one- quarter of its length. If the perimeter is 360 m, find: a. The length of the land. Other joints consist of bone ends held together by hyaline cartilage or fibrocartilage. these are classified as ____________ joints, which are amphiarthrotic or ____________ joints. Infants by age _____ months will imitate acts modeled on television. 12 10 16 14 He favored stronger state government givingeach state freedom to govern according totheir needs.HamiltonJefferson