Find the polar equation of the conic with the focus at the pole, directrix x = -5, and eccentricity 2.

Find The Polar Equation Of The Conic With The Focus At The Pole, Directrix X = -5, And Eccentricity 2.

Answers

Answer 1

Step-by-step explanation:

Given that,

Directrix, d= -5, and eccentricity, e = 2.

The polar equation of the conic is given by :

[tex]r=\dfrac{ed}{1-e\cos\theta}[/tex]

Put all the values,

[tex]r=\dfrac{-5\times 2}{1-2\cos\theta}\\\\=\dfrac{-10}{1-2\cos\theta}[/tex]

As e>1, it is a hyperbola. Hence, this is the required solution.


Related Questions

What is the circumference of the circle below? (Round your answer to the
nearest tenth.)
11 cm
A. 34.6 cm
B. 17.3 cm
C. 69.1 cm
D. 138.2 cm

HELPPP

Answers

Answer:

C. 69.1

Step-by-step explanation:

Circumference formual = 2pi r

2 × 3.14 × 11

69.1cm

The circumference of the circle is 69.1 cm.

What is circumference?

The circumference of a circle refers to the measure of its boundary. If we open a circle and measure the boundary just like we measure a straight line.

Given that a circle with radius 11 cm, we need to find the circumference of the circle,

Circumference = π × 2 × radius

= 3.14 × 2 × 11

= 69.1 cm

Hence, the circumference of the circle is 69.1 cm.

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What aspects of distance learning do you hope to keep when we return to classes full time?

Answers

to remain at home still maybe i jsut it’s so awkward

NEED HELP PLSSSS I DONT KNOW THE ANSWER

Answers

Answer:

[ 3 , ∞ ) Set-Builder Notation:

{ x | x ≥ 3 }

Step-by-step explanation:

Please help with this

Answers

Answer:

C and D

Step-by-step explanation:

an input gives one output

Can you help find the ratio?

Answers

Answer:

here you go (could i maybe get the crown thing)

Step-by-step explanation:

ok so we have to take a look and see what kind of ratio this is going to be

so we look and it shows its SIN (o/h)

so what that means is that A= o/h

o=12 and h=22

so your answer would be A=12/22

PLS HELPPP
Select the representations that do not change the location of the point (9,100°)
a. (-9,280°)
b. (-9,260°)
c.(-9,-80°)
d.(9,-260°)

Answers

Answer:

d. (9,-260°)

Step-by-step explanation:

100° = 100-360 = -260°

2.5 km= M

Help me please

Answers

Answer:

2,500

Step-by-step explanation:

Have a good day :)

Please solve, f(x) = mx + b

Answers

Answer:

[tex]m = \frac{4 - 3}{3 - 6} \\ m = \frac{1}{ - 3} \\ f(x) = \frac{ - 1}{3} x + 5

please help i have to leave soon!! will give brainliest and no links hurry plezzz

Answers

Answer:

1/18

Step-by-step explanation:

There are 2 ways to get the sum of 11

5,6 and 6,5

therefore 2/36=1/18

Which statement describes the linear graph

Answers

Answer:

B.

Step-by-step explanation:

. Formula of the area of a trapezoid is:

Answers

Answer:

Step-by-step explanation:

A=(b1+b2)h/2

Which mathematical property is demonstrated below? 3 + 0 = 3

Identity Property
Indemnify Property
Idiocy Property
Idolatry Property

Answers

Answer:

IDENTITY PROPERTY

i hope it is helpful plz marks me branily

9514 1404 393

Answer:

  Identity Property

Step-by-step explanation:

The identity property of addition is illustrated.

The identity element is 0. It is the additive identity element because the original value retains its identity when 0 is added.

1. The angle θ lies in Quadrant I.


sinθ=2/5


What is cosθ?


√−21/5


−2/5


√21/5


2/5

Answers

Answer:

2/5.......................

3.
A bag contains red marbles, green marbles and blue marbles only.
The ratio of the number of marbles of each colour is
red: green : blue =
12:5:2
There are 112 more red marbles than green marbles.
Work out the number of blue marbles.​

Answers

Answer:

32

Step-by-step explanation:

Since there is 112 more red marbles than green marbles,

7 units= 112

1 unit= 112÷7= 16

2 units(no. of blue marbles)=16×2=32

2 box plots. The number line goes from 175 to 450. For resort A, the whiskers range from 175 to 375, and the box ranges from 250 to 300. A line divides the box at 375. For Resort B, the whiskers range from 200 to 400, and the box ranges from 300 to 375. A line divides the box at 325.

Compare the two box plots to determine where Kevin should plan to go for vacation. Which statement is true?
Resort A gets more snowfall than Resort B.
Resort A gets between 250 and 400 inches of snow each year.
Resort B gets more snowfall than Resort A.
Resort B gets between 250 and 350 inches of snow each year.

Answers

Answer:

The answer is C (Resort B gets more snowfall than Resort A)

Step-by-step explanation:

According to the diagram, Resort A gets 375 inches of Snowfall, and Resort B gets 400. 375 < 400

Pleaseeeeeeeee helppppp someone pleaseeeeeee I’m begging uuuuuuuuuuuu

Answers

Answer:

x=6

ABC= 135 degrees

Step-by-step explanation:

ABE and CBD are congruent angles (don't remember the theorem)

therefore

3x+27=45

solve for x

x=6

ABC and CBD are supplementary (meaning they add to 180)

Answer:

6

Step-by-step explanation:

A Ferris wheel car moves from point C to point D on the circle shown below:

Circle A is shown with points C and D on the circle and the central angle C A D marked 45 degrees. The diameter is 15 feet.

What is the arc length the car traveled, to the nearest hundredth?

5.89 feet
6.23 feet
7.46 feet
8.15 feet

Answers

Answer:

5.89 feet.

Step-by-step explanation:

I just took the test :)

The arc length the car traveled, to the nearest hundredth is 5.88 feet, the correct option is A.

What is a Circle?

A circle is a round-shaped figure with all points lie in the same plane, the distance between all the points on the circle and the center of the circle is equal.

The line that passes through the center of the circle and has end point on the circumference is called the diameter, the radius is half the measure of the diameter.

A Ferris wheel car moves from point C to point D on the circle.

Circle A is shown with points C and D on the circle and the central angle C A D marked 45 degrees.

The diameter is 15 feet.

The arc length is determined by using the formula

L = ( [tex]\rm \theta[/tex]/ 360) * 2 π r

L = ( 45 / 360) * 2 * 3.14 * r

r =  diameter / 2

r = 15/2 = 7.5 ft

L =  ( 45 / 360) * 2 * 3.14 * 7.5)

L = 5.8875 ft

L = 5.89 feet.

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What is the length of the missing leg?

Answers

Answer:

Step-by-step explanation:

using pythagoras theorem

a^2+b^2=c^2

15^2+a^2=17^2

a^2=289-225

a^2=64

a=[tex]\sqrt{64}[/tex]

a=8

At a carnival game, the chance of winning a prize is 0.45. Kylee plays the game 3 times. Using the table, what is the probability that she wins at least 1 prize? (Table shown in attached image)

A.) 0.41
B.) 0.58
C.) 0.83
D.) 0.91

Answers

Answer:

I think the answer is C 0.83 based on the math I did

Step-by-step explanation:

The probability of winning one prize in 3 attempts is P = 0.41, so the correct option is A.

How to find the probability?

We know that the probability of winning a prize is 0.45, then the probability of not winning a prize is:

q = 1 - 0.45 = 0.55

Out of 3 attempts, the probability of winning one prize is:

P(1) = (0.45)*(0.55)^2*p

where p is the number of permutations, you can win on the first attempt, second attempt, or third attempt, so there are 3 permutations.

Then the probability is:

P(1) = (0.45)*(0.55)^2*3 = 0.41

So the correct option is A.

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What is the slope of the line that passes through the points (6, -5) and (6, —8)?
Write your answer in simplest form.

Answers

Answer:

(y2 -y1) / (x2 - x1)

Step-by-step explanation:

use that formula. The answer should be -3/0 which doesn't make sense. Are you sure you have your x values correct? Since in that case it would be a straight line and the equation for that would be x = 6 since it is a straight line up with no y intercept.

Hope that helped

Answer:

Undefined

Step-by-step explanation:

GIVEN :-

A line passes through two points , and their coordinates are given below :-

(x₁ , y₁) = (6 , -5)(x₂ , y₂) = (6 , -8)

TO FIND :-

Slope of the line

FORMULAE TO KNOW BEFORE SOLVING :-

Lets say there's a line passing through (x₁ , y₁) & (x₂ , y₂).

[tex]=> Slope \: of \: the \: line = \frac{Rise}{Run} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

SOLUTION :-

According to the question ,

[tex]=> Slope = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-8 -(-5)}{6 - 6} = \frac{-8 + 5}{0} = \frac{-3}{0}[/tex] = undefined (∵ Anything divided by 0 is undefined.)

PLEASE HELLLLPPPPPP PLEASSEEEE I A BEGGGING YOU

Answers

Answer:

-2 2/5

Step-by-step explanation:

-8 x 3/10
-4 x 3/5
= -12/5
Or -2 2/5 ; -2.4

GI = 6, HI = 8, DT = 12, what is IE?​
a.12
b.16
c.8
d.4

Answers

Answer:

Option D

Step-by-step explanation:

By the property of intersecting chords,

If two chords are intersecting at a point inside a circle, product of lengths of the line segments on each chord is equal.

DI × EI = HI × GI

12 × EI = 8 × 6

EI = [tex]\frac{48}{12}[/tex]

EI = 4

Therefore, Option D is the correct option.

a five-question quiz is taken in which the first and second questions have four answer choices the third and fourth questions have three answer choices and the last question has five answer choices a student randomly marks an answer for each question, what is the expected number of questions he will answer correctly

Answers

Answer:

1.37

Step-by-step explanation:

1

What is the y'intercept of the line given by the equation y = 5x + 16? !!!!

Answers

Answer:

16

Step-by-step explanation:

Y=Mx+b where m is the slope and b is the y intercept

y=5x+16 where 5 is the slope and 16 is the y intercept.

please help i have an exam next week and im really stuck on this

Answers

Answer:

Area = 96 square cm

Step-by-step explanation:

Area of the figure = (2 x Area of triangles) + Area of square

[tex]Area \ of \ triangle = \frac{1}{2} \times base \ height = \frac{1}{2} \times 8\times 4 = 16cm^2\\\\Area \ of \ square = side \times side = 8 \times 8 = 64cm^2[/tex]

Therefore, [tex]Area \ of \ the\ figure = (2 \times 16) + 64 = 32 + 64 = 96cm^2[/tex]

For some integer q, Every odd integer is of the form

(a) q (b) q+1 (c) 2q (d) 2q+1​

Answers

Answer:

Every Odd Integer is of the form 2q+1

Take 5 as our test odd Number

2(5) + 1 = 11.

This works and Nothing else will from the set of Options.

SO OPTION D IS LEGIT!

Find the value of x that makes ABCD a parallelogram.
D
с
X + 40°
70°
70°
X + 40°
А
B
O A. x = 40°
B. x = 50°
O c. x = 70°
O D. x = 30°
HELPPP MEEE PLSSS ASAPPPP !!!!!

Answers

C. X=70

Consecutive angles are supplementary (add to 180)

70+ x + 40 = 180

110 + x = 180

X = 70

The value of x that makes ABCD a parallelogram is C. x = 70°.

What is Parallelogram?

Parallelogram is a type of polygon with four sides, four angles and four vertices. It is a type of Quadrilateral.

Opposite sides are parallel, and the opposite sides and opposite angles are equal.

Given that ABCD is a parallelogram.

We know that opposite angles of a parallelogram are equal.

It is already given.

Also, adjacent angles of a parallelogram is equal to 180°.

So,

x + 40 + 70 = 180

x + 110 = 180

x = 180 - 110

x = 70

Hence the correct option is C. x = 70°.

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In ΔQRS, the measure of ∠S=90°, SR = 45, QS = 28, and RQ = 53. What is the value of the tangent of ∠Q to the nearest hundredth?

Answers

Answer:

Aprox: 1.61

Step-by-step explanation:

TOA: Tan Q = Opposite/Adjacent = 45/28 ---> 1.61

Answer:

28/45≈1.6071≈1.61

Step-by-step explanation:

Tabitha was shooting free throws in gym class. She completed 7 of the shots, which was a third of 4 more than Joan completed. What is the number of free throws, n, that Joan completed?]

Answers

Answer:

17

Step-by-step explanation:

the following equation can be derived from the question

7 = 1/3(4 + n)

multiply both sides of the question by 3

21 = 4 + n

combine like terms

21 - 4 = n

n = 17

use the picture to find each of the following

Answers

[tex] \large{ \tt{☄ANSWERS \: + \: REASONS}} : [/tex]

[tex] \large{ \tt{ \angle \: 7 = \boxed{ \tt{38 \degree}}}} \: ( \text{Being \: alternate \: angles)}[/tex]

[tex] \large{ \tt{38 \degree + \angle 4 = 180 \degree}}( \text{Sum \: of \: co - interior \: angles}[/tex]

[tex] \: \: \: \: \: \large{ \tt{ ↦\angle \: 4 = 180 \degree - 38 \degree = \boxed{ \tt{142 \degree}}}}[/tex]

[tex] \large{ \tt{ \angle \: 1 = \angle \: 4 = \boxed{ \tt{142 \degree}( \text{Being \: vertical \: angles)}}}}[/tex]

[tex] \large{ \tt{ \angle \: 8 = \angle \: 4 = \boxed{ \tt{142 \degree} \text{(Being \: corresponding \: angles)}}}}[/tex]

[tex] \large{ \tt{ \angle \: 6 = \angle \: 1 = \boxed{ \tt{142 \degree} \text{(Being \:corresponding \: angles) }}}}[/tex]

[tex] \large {\tt{ \angle \: 2 = \boxed{\tt{38 \degree}}\text{(Being \: corresponding \: angles)}}}[/tex]

[tex] \large{ \tt{ \angle \: 3 = \boxed{\tt{38 \degree} }\text{(Being \: alternate \: angles)}}}[/tex]

[tex] \large{ \tt{✺ \: TIPS} }: [/tex]

If you have planned for study at 8:00 and now it's 8:05 then don't wait for 9 : 00 , Start studying that subject right now ! ♪

[tex] \large{ \tt{❃ \: LEARN \: ABOUT \: ALTERNATE \: , CORRESPONDING\:AND \: CO - INTERIOR \: ANGLES}} : [/tex]

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