* Anyone please give me some information about the following;
• About cone and conic section.(with diagram)
• Describe how are cones, ecllipse, parabola, hyperbola are formed?
(I need full information as much as possible)
Thank you!
Answers
Answer: See explanation below
Step-by-step explanation:
A conic is a curve obtained as the intersection of the surface of a cone with a plane. The 4 types of conic section are: 1. Hyperbola 2. The Parabola 3. The Ellipse and 4. Circle.
Hyperbola: When the plane cuts the cone at an angle closer to the axis than the side of the cone a hyperbola is formed.
Cones: A cone is a three-dimensional shape that goes in a diagonal directions from a flat base to a point called the apex or vertex. A cone is formed by a set of line segments connecting from the base to the apex.
Parabola: A parabola is the curve formed by the intersection of a plane and a cone, but only when the plane is at the same slope as the side of the cone.
Ellipse: An ellipse is formed by a plane intersecting a cone at an angle to its base. All ellipses have two focal points and a center and a major and minor axis.
Circles: A circle is formed when the plane is parallel to the base of the cone.
*Note: Some of these answers are PLAGIARISED from the internet as I looked these up and copied & pasted some information, so please paraphrase if turning this in.*
Answer: see below
Step-by-step explanation:
Types of Conics are: Circles, Ellipses, & Hyperbolas.
Here is information about each one:
Circle: Two parabolas facing each other. Distance from the center to the vertices are exactly the same.
(x - h)² + (y - k)² = r²
(h, k) is the center of the circler is the radius of the circleThe 4 vertices are: (h, k+r), (h, k-r), (h + r, k), & (h - r, k)Ellipse: Two parabolas facing each other. Distance from the center to the vertices are not the same.
(x - h)²/a² + (y - k)²/b² = 1
(h, k) is the center of the ellipsea is the horizontal distance from the center to the vertices/co-verticesb is the vertical distance from the center to the co-vertices/verticesIf a > b, then vertices are: (h+a, k), & (h-a, k) and co-vertices are (h, k+b), (h, k-b)If b > a, then the vertices and co-vertices are reversed Use |a² - b²| = c² to find the distance from the center to the foci. If a > b, then Foci = (h+c, k) & (h-c, k). If b > a, then ± from the k-valueExample: (x - 1)²/9 + (y - 2)²/25 = 1
Center (h, k) = (1, 2) a = √9 = 3 b = √25 = 5
Vertices (b > a): (1, 2+5) & (1, 2-5) ==> (1, 7) & (1, -3)
Co-vertices: (1+3, 2) & (1-3, 2) ==> (4, 2) & (-2, 2)
Foci (b > a): c = √(25-9) = 4 --> (1, 2+4) & (1, 2-4) ==> (1, 6) & (1, -2)
Hyperbola: Two parabolas facing AWAY from each other. Distance from the center to the vertices may or may not be the same.
(x - h)²/a² - (y - k)²/b² = 1 or (y - k)²/b² - (x - h)²/a² = 1
↓ ↓
opens left and right opens up and down
(h, k) is the center of the hyperbolaIf x²-y², then vertices are: (h+a, k), & (h-a, k). There are NO Co-vertices.If y²-x², then vertices are (h, k+b), (h, k-b). There are NO Co-vertices.Use a² + b² = c² to find the distance from the center to the foci. If x²-y², then Foci = (h+c, k) & (h-c, k). If y²-x², then ±c from the k-valueThe slope of the asymptotes are ± b/a and pass through the center (h, k)Example: (x - 1)²/9 - (y - 2)²/16 = 1
Center (h, k) = (1, 2) a = √9 = 3 b = √16 = 4
Vertices (x²-y²): (1+3, 2) & (1-3, 2) ==> (4, 2) & (-2, 2)
Foci (x²-y²): c = √(9 + 16) = 5 --> (1+5, 2) & (1-5, 2) ==> (6, 2) & (-4, 2)
Asymptotes: m = ± 4/3 through (h, k) = (1, 2) ==> y = ± 4/3(x - 1) + 2
Related Questions
43 (x) =48
Could you explain how to do it please?
Answers
I need these asap plus ty so much:))
what is 0.000072 in scientific notation
what is 3.652 × 10-4 in standard notation
Answers
2nd: .0003652
2
Francis ran
2 3/5 miles in 7/12 of an hour
. How many miles can Francis run in one hour?
ОА.
35
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B.
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C.
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OD. 221 14
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Answer:
B
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harus di cari sendiri jalannya
5x-3)-7(x-2)=2(4x+3)-3(2x-4)+1
x=-2
PLS VERIFY IT
DO THE OPERATION TO VERIFY IT
I HAVE 10 MINS LEFT
Answers
(5x-3) - 7(x-2) = 2(4x+3) - 3(2x-4) + 1
5x - 3 - 7x + 2 = 8x + 6 - 6x + 4 + 1
-2x -1 = 2x + 11
-4x = 12
x = -3
Hope this helps! :)
A troop leader recorded whether the members from two troops prefer hiking or swimming. He plans to create a two-way table to display his results. Which describes the variables he can use in the first row and first column to create his table?
troop number and number who prefer hiking
troop number and activity preference
activity preference and number of troop 1 members
activity preference and number of troop 2 members
Answers
Answer:
B: troop number and activity preference
Step-by-step explanation:
I took the quiz :)
Answer:
The answer would be B. troop number and activity preference
Step-by-step explanation:
I took the test.
pls help !!
Find the area and circumference of a circle with a diameter of 10 in. Round to the nearest tenth for both values.
Answers
Area of circle= πr² so, our radius would be 5in because the diameter is 10 in which makes our sum to be π×5²= 78.5 in
Circumference of circle= 2πr so, 2×5×π= 31.4 in
Answer:
1. A = 78.5 in² 2. C = 31.4 inStep-by-step explanation
1. area of a circle = πr²
2. circumference of a circle = 2πr
where diameter = 10 in.
radius = 10 / 2 = 5 in
1. area of a circle = π(5)²
= 78.5 in²
2. circumference of a circle = 2πr
= 2π(5)
= 31.4 in
pls help :(
I dont get this
The lunch lady has 4 pounds of lasagna left over. If she makes 1/3 pound servings, how many servings of
lasagna can she serve with the amount left over?
Answers
Answer:
If she has four pounds left over of lasagna and she's making 1/3 pound servings which means she giving 1/3 pound serving per person she is giving 12 people 1/3 serving of lasagna each! if you wanna know how to get the 12 people all ya gotta do is see how many times 1/3 goes into four, which is 12 times, have a nice day!!
Step-by-step explanation:
hope this was helpful
Which number is farther from 0 -325 1.3
Answers
Given: K is the midpoint of JL, M is the midpoint of LN,
JK = MN
Prove:
KL
≅
LM
Answers
Answer:
Given that JK = MN, JK = KL, and LM = MN, therefore, by transitive property, we have;
KL ≅ LM
Step-by-step explanation:
The given information are;
The midpoint of the segment JL = The point K
The midpoint of the segment LN = The point M
Given that JK = MN
The two column proof is given as follows;
Statement [tex]{}[/tex] Reason
1) JK = KL [tex]{}[/tex] Definition of the midpoint of segment JL
2) LM = MN [tex]{}[/tex] Definition of the midpoint of a segment LN
3) JK = MN [tex]{}[/tex] Given
4) KL ≅ LM [tex]{}[/tex] Transitive property.
i need this answered asap
Answers
Answer :
[tex]p = 169[/tex]
lenny is reading a novel for his english class. he has read 168 pages of the 480 pages. what percent of the book has he read?
Answers
help me ASAP plz I'm stuck at this
Answers
Answer:
b
Step-by-step explanation:
because its math and it makes sense
Answer:
Substitute the 2nd and 3rd equations for x and y into the first equation.
Use the distributive property to simplify terms
Combine like terms to get 12z = -24
Solve for z = -2
Solve for x and Y by substituting z into 2nd and 3rd equations
Step-by-step explanation:
2x - y + 3z = -12
x = 3 + 2z
y = -6 - 5z
Substitute;
2(3 + 2z) - (-6 - 5z) + 3z = -12
Distribute;
6 + 4z + 6 + 5z + 3z = -12
Combine like terms;
12 + 12z = -12
Subtract 12 from both sides;
12z = -24
Divide by 12 to get z;
z = -2
Substitute z into x and y to get their values;
x = 3 + 2(-2)
x = 3 - 4
x = -1
y = -6 - 5(-2)
y = -6 + 10
y = 4
Now to check;
2x - y + 3z = -12
2(-1) - (4) + 3(-2) = -12
-2 - 4 - 6 = -12
-12 = -12
CORRECT!
Please hurry, I'll mark brainliest!!! Write the sentence as an equation. 10 is the same as the total of q and 174
Answers
what is the volume of this figure?help asap!!!!!
Answers
Answer:
50
Step-by-step explanation:
Answer:
vol. = 875 ft³Step-by-step explanation:
you to divide the figure into 3 parts (see attached image)
volume = L*W*H
where:
L = 5 ft
W = 5 ft.
H = 10 + 15 + 10 = 35 ft.
plug in values into the formula:
vol. = 5 x 5 x 35
vol. = 875 ft³
Find the length of AB if AC=18 and BC=7
Answers
Answer:
25
Step-by-step explanation:
Step 1:
AC + BC = AB Equation
Step 2:
18 + 7 = AB Substitute
Answer:
25 Add
Hope This Helps :)
what is -5x-1=-2x+14
Answers
Answer:
x= -5
Step-by-step explanation:
Isolate the variable by dividing the factors that don't contain the variable.
Hope this helps. Plz give brainliest.
What is the range of 1,2,2,3,3,4,4
a. 1
b.2
c.3
d.4
Answers
You find range by subtracting the highest number minus the lowest number.
A stadium sells 2,000 tickets for $15 and 4,000 tickets for $10. What is the average price per ticket?
Answers
Answer:
$11.66
Step-by-step explanation:
To find the average price, you need to find the total revenue, then divide that by how many tickets were sold.
2,000 * 15 = ? --> 30,000
*To find how how much money was made from the $15 tickets*
4,000 * 10 = ? --> 40,000
*To find how how much money was made from the $10 tickets*
30,000 + 40,000 = ? --> 70,000
*To find the total revenue*
2,000 + 4,000 = ? --> 6,000
*To find the total amount of tickets sold*
70,000 / 6,000 = ? --> 11.66666...
Average price per ticket
The average price per ticket is the ratio of the Cummulative earning and the total number of tickets sold, Hence, average price per ticket is $11.67
The Cummulative earning :
(4000 × $10) + (2000 × $15) = $70000
Total number of tickets sold
(2000 + 4000) = 6000 tickets
The average price per ticket :
$70000 ÷ 6000 = $11.67
Therefore, the average price per ticket is $11.67
Learn more : https://brainly.com/question/18109354
What is 3/12 as a terminating decimal?
Answers
Answer:
3/12 = 0.25
Step-by-step explanation:
hope this helps
What is the measure of ∠A?
Answers
Answer:
∠A = 60.07°Step-by-step explanation:
Since the figure is a right angled triangle we can use trigonometric ratios to find measure of ∠A.
To find ∠A we use sine
sin ∅ = opposite / hypotenuse
From the question
the opposite is 13
the hypotenuse is 15
So we have
[tex] \sin(∠A) = \frac{13}{15} \\∠A = \sin ^{ - 1} ( \frac{13}{15} ) \\ ∠A = 60.0735651...[/tex]
We have the final answer as
∠A = 60.07°
Hope this helps you
Step-by-step explanation:
Hey there!
Here;
As the figure shown is a Right angled triangle. Taking refrence angle as angle A, we get,
p= 13
h = 15
In ratio of sin there is p and h, So using sin ratio.
[tex] \sin( \alpha ) = \frac{p}{h} [/tex]
Put all values.
[tex] \sin( \alpha ) = \frac{13}{15} [/tex]
Simplify it.
[tex] \sin( \alpha ) = 0.86666666[/tex]
[tex] \alpha = { \sin}^{ - 1} (0.8666666)[/tex]
[tex] \alpha = 60.0732°[/tex]
Therefore the measure of angle A is 60°.
Hope it helps ...
Write x +y = 3 in function notation.
Answers
Answer:
i think its function notation is
Step-by-step explanation:
f(x) = x - 3
Answer:
x=3
Step-by-step explanation:
hope this helps:)
Find -3- (-5).
The difference is ?
Answers
Answer:
Step-by-step explanation:
-3 + 5 = 2
Which of the following is a conjugate for 7 + i square root 2
Answers
Answer:
the answeer is 7-i/2
Step-by-step explanation:
A recipe shows that the yeast needed for a bread recipe is 2 and one-third ounces. Which of the following decimals is equivalent to this number?
Answers
Answer:2.5
Step-by-step explanation:
The correct answer is B. 2.3.
For us to know the equivalent decimals of a fraction, you have to use the numerator as the dividend, and the denominator will be your divisor.
The equation will be:
2 + ( 1 / 3 )
2 + (0.33333333)
= 2.333333
If you'll have it rounded off, you'll get the answer 2.3.
What is 2,520 divided by 16?
Answers
Answer:
157.5 is the answer
Step-by-step explanation:
Answer:
157.5
Step-by-step explanation:
Will name Branliest!
Solve for x. x/3≤−6
Answers
Answer:
x ≤ -18. I hope this helps
Step-by-step explanation:
Answer:
i wanna say -18
Step-by-step explanation:
i just used desmos it's helpful for things like this
Solve for x: one over five(5x + 12) = 18
Solve for x: one over five(5x + 12) = 18
Answers
evaluate 5 times 3 times 2
Answers
Answer:
30
Step-by-step explanation:
may I please have brainlyest
HELP ME AND MAKE IT QUICK PLEASE.
Problem 3
Highlight your answer
Which of these sets of angle measures could be the three angles in a triangle?
A: 40, 50, 60
B: 50-, 60, 70 -
C: 60, 70, 80
D: 70, 80, 90
Answers
Answer:
B
Step-by-step explanation:
the sum of angles of triangle=180
B: 50+60+70=180
simplify honestly : 3a(2a-x+1) please
Answers
Answer:
6a2-3ax+3a
Step-by-step explanation:
Answer:
6a² - 3ax + 3aStep-by-step explanation:
3a(2a-x+1)
= 6a² - 3ax + 3a
