Find an equation of the ellipse that has center (-2,0), a minor axis of length 2, and a vertex at (8,0)

Answers

Answer 1

Answer:

Step-by-step explanation:

(-2,0) and (8,0) are horizontally aligned, so the ellipse is horizontal.

Find An Equation Of The Ellipse That Has Center (-2,0), A Minor Axis Of Length 2, And A Vertex At (8,0)
Answer 2

The equation of the ellipse is: [tex](x + 2)^2 / 16 + y^2 = 1.[/tex]To find the equation of the ellipse with the given information, we need to determine the major axis length and the equation's standard form.

The center of the ellipse is (-2, 0), and one vertex is at (8, 0). This means that the major axis is along the x-axis, and its length is equal to the distance between the center and the vertex, which is 8 units.

The minor axis length is given as 2 units. Since the minor axis is perpendicular to the major axis, it corresponds to the y-axis.

The standard form equation of an ellipse with a horizontal major axis is:

[tex]((x - h)^2 / a^2) + ((y - k)^2 / b^2) = 1,[/tex]

where (h, k) represents the center of the ellipse, and a and b are the semi-major and semi-minor axes' lengths, respectively.

Plugging in the given information, we have:

Center: (h, k) = (-2, 0)

Semi-major axis length: a = 8 / 2 = 4

Semi-minor axis length: b = 2 / 2 = 1

Substituting these values into the standard form equation, we get:

[tex]((x + 2)^2 / 4^2) + (y^2 / 1^2) = 1[/tex]

Simplifying:

[tex](x + 2)^2 / 16 + y^2 = 1[/tex]

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Related Questions

Mark is making jackets. Mark took 2 hours to make a jacket. The jacket was made up of 50 kilograms of wool. How long do you think it will take Mark to use 500 kilograms of wool for the jackets?

Answers

Given:

Mark took 2 hours to make a jacket.

The jacket was made up of 50 kilograms of wool.

To find:

The time in which Mark use 500 kilograms of wool for the jackets.

Solution:

We have,

1 jacket take 2 hours.

Number of jackets in 50 kg of wool = 1

Number of jackets in 1 kg of wool = [tex]\dfrac{1}{50}[/tex]

Number of jackets in 500 kg of wool = [tex]\dfrac{1}{50}\times 500[/tex]

                                                              = [tex]10[/tex] Jackets

Time taken by 1 jacket = 2 hours

Time taken by 10 jacket = 20 hours

Therefore, it will take 20 hours to use 500 kilograms of wool for the jackets.

Answer:

20 hours

Step-by-step explanation:

1 jacket=50kg wool

1 jacket= 2hrs

500kg available/50kg per jacket= 10 jackets

10 jackets x 2hrs per jacket=20hrs

Antonio needs to convert 1.2 liters of milk to milliliters. How many milliliters are there in 1.2 liters of milk?

Answers

Answer: 1200 milliliters.

Step-by-step explanation: 1 liter has 100 milliliters of milk in it. So you have to multiply 1.2 by 100 to get 1200.

Help help help me please

Answers

Answer:

it's 72

Step-by-step explanation:

length x height x base

6x3x4

6x3= 18

18x4=72

Vol(Cuboid)=lbh
= 4*3*6
= 72 cm^3

PLZ help me!! I will give 28 Points

Answers

Answer:

2

Step-by-step explanation:

base is 2 times larger

Answer:

2

Step-by-step explanation:

Hope this helps please tell me if anything is wrong!!

HELP PLZ
Given that m n and n l what conclusion can be made?

A. N || P
B. M upside down t P
C. M upside down t L
D. L || M

Answers

A

B or D is your answer

Hope this helps

Step-by-step explanation:

N || P

Step-by-step explanation:

the most reasonable answer to me is that coz line n and p will neva meet but I also like L || M(not sure)

hope that helps

Tasha is packing gift bags that include the same items. she has 72 glow sticks, 36 markers, and 24 bottles of bubbles. Tasha believes that she can pack no more than 6 bags using all of her supplies.

Answers

Answer:

22

Step-by-step explanation:

Answer:

This is not true. If Tasha has her supplies as multiples of twelve, She can make twelve bags in total.

24  ÷ 12 = 2

36 ÷ 12 = 3

72 ÷ 12 = 6

As all are evenly divided by twelve, indicating she is able to make twelve bags in total.

Solve the given system of equations by Elimination.
x + y = 6
3x - y = 14

Answers

Answer:

Step-by-step explanation:

find the value of X and Y

Answers

Answer:

x = 11, y = 56

Step-by-step explanation:

all you need is in the photo please


DON'T DO STEP BY STEP PUT ONLY THE ANSWER PLEASEEEEEEEEEEEEEEEEEEEEE YUKAZ DATA HER HJ​

Answers

Answer:

It should be 1/2 sorry if i"m wrong

What is the value of x?
70°
35°
А. 350
В. 950
ООО
С. 105°
D. 75

Answers

Not sure what the context is but I think it’s 75. I just did 180-105= 75. 35+70 is 105
The value of x is 75

what is angle a and c if b is 63 degrees? You will get 100 points for answering please help

Answers

Answer:

Angle A measures 76°

Step-by-step explanation:

The three interior angles of a triangle will always equal 180. Therefore:

[tex](63)+(x+7)+(2x+8)=180[/tex]

Solve for x. Add and combine like terms:

[tex]78+3x=180[/tex]

Subtract 78 from both sides:

[tex]3x=102[/tex]

Divide both sides by 3. So, the value of x is:

[tex]x=34[/tex]

Angle A is given by:

[tex]m\angle A=2x+8[/tex]

Since we know that x = 38:

[tex]m\angle A=2(34)+8=76[/tex]

Angle A measures 76°

It costs the class $203.00 to purchase 29 tickets for a performance at the Orpheum. Write an equation that can be used to find the total cost (c) for any number of tickets (t) they would buy.

Answers

Answer:

c=29÷203.

Step-by-step explanation:

i think that might be what you want. pretty sure there's a better way to wright it though.

help fast, thanks
(6-62)

Answers

Answer: A+P=11,    0.60A+0.35P=5.60

what is a 5a − 8 = 8 + a

Answers

Answer:

a=4

Step-by-step explanation:

5a-8=8+a

4a-8=8

4a=16

a=4

Help :(((((((((;;;;; I NEED HELP W MATH

Answers

Answer:

p = 6

Step-by-step explanation:

p/15 = 4/10

*cross multiply*

p*10 = 15*4

10p=60

*divide to get p alone*

p=6

can someone un block this stuff about premium please?

Answers

Answer:

??????????????????????????????????

Step-by-step explanation:

complete the square to form a perfect square trinomial.​

Answers

Answer:

4

Step-by-step explanation:

someone please help asap, thank you!!



Martin has a bag of marbles. He removed one marble, recorded the color and then placed it back in the bag. He repeated the process several times and recorded his results in the table. Based on the frequency table, find the probability of randomly drawing the colors listed below.

Answers

Answer:

1. 27/50

2. 10/50

3. 13/50

4. 40/50

i hope this helped you and i hope this is the correct answer

List the ordered pairs shown in the mapping diagram

Answers

Answer:

(0,4)

(1,6)

(2,8)

(3,1)

(4,0)

The required ordered pair mentioned in the mapping diagram is (0,4), (1,6), (2,8), (3,1), and (4,0).

What is coordinate?

Coordinate, is represented as the values on the x-axis and y-axis of the graph. while the coordinate x is called abscissa and the coordinate of the y is called ordinate.

What is a mapping diagram?

A mapping diagram is used to illustrate the relationship between sets of domains and ranges.

here,
From the mapping diagram,
Each arrow represents the ordered pairs,
So,
The ordered pair is given as,
(0,4), (1,6), (2,8), (3,1), and (4,0)


Thus, the required ordered pair mentioned in the mapping diagram are (0,4), (1,6), (2,8), (3,1), and (4,0).

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Which set of side lengths form a right triangle?
7 cm. 8 cm. 10 cm
3 it ott 5th
10 in 41 in 40 in.
15 m 20 m 25 m

Answers

Answer:

15m 20m 25m

Step-by-step explanation:

15^2+20^2=25^2

the others do not

Can somebody plz help answer these questions correclty (Like what the letters equal) thanks :D

WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :DD

Answers

Answers:
20: 24
21: 21
22: 20
23: 12
24: 8

Why?
24/4=6
31/7= 3
20/5= 4
12/6=2
8/4= 2

Hope this helps :D

Answer:

20. multiply both sides by 4, x= 24

21. multiply both sides by 7, y=21

22.multiply both sides by 5, z=20

23. multiply both sides by 6, p=12

24. multiply both sides by 2, r=8

Step-by-step explanation:

you want to get the variable alone (x,p,y, etc).

so if you are dividing the variable by a number you want to take the denomentator and multiply it by itself and then you have to multiply the same number to the number on the other side of the equation.

The box plots represent weights of tomatoes harvested by two growers. Based on the graph, which is true?

A. Grower A was more likely than grower B to have tomatoes weighing 5 or more ounces.
B. All grower A tomatoes were lighter than all grower B tomatoes.
C. Grower B was more likely than grower A to have tomatoes weighing 4.5 or more ounces.
D. Grower B tomatoes were more likely to weigh less than 5 ounces than they were to weigh more than 5 ounces.

Answers

Answer:

b

Step-by-step explanation:

sorry if i am wrong

Answer:

The answer is D

Step-by-step explanation:

grower b has more of a lower pecentage of tomatoes under 5 so that would be the correct answer

Pls help will give brainilist

Answers

Answer:

56 cm, 1.8 ft, 20 in

Step-by-step explanation:

plz mark me brainliest. :)

Answer:

56 cm, 1.8 ft, 20 in

Step-by-step explanation:

I just simply turned 1.8 ft and 20 in into centimeters

1.8 ft = 54.9 cm

20 in = 50.8 cm

56 cm = 56 cm

Find x

I'm struggling plz help

Answers

Step-by-step explanation:

the right side of the diagram

9^2 + x^2 = 24^2

81 + x^2 = 576

x^2 = 576 + 81

x^2 = 657

x=√657

the left side of the diagram

9^2 + x^2 = 24^2

81 + x^2 = 576

x^2 = 576 + 81

x^2 = 657

x=√657

I don't know how to do this.

Answers

x=15 this is because all the sides must equal 80 degrees and 25+40=65 and 80-65=15

HIJK is a triangle based pyramid. The base HIJ is an equilateral triangle with side 10cm. The volume of the pyramid is 300cm^3. Calculate the perpendicular height, h, of the pyramid.

Answers

Answer:

20.78 cm^3 to the nearest hundredth.

Step-by-step explanation:

Volume = 1/3 * a * h    where a = area of triangular base and h = the height.

The area of the triangle

= 1/2 * base * height

Its height = √(10^2-5^2)

= √75.

So its area = 1/2 * 10 * √75

= 5√75

So for the pyramid we have:

300 = 1/3 *  5√75 * h

h = 300 /  (1/3 *  5√75)

= 20.78 cm^3.

What is 200 rounded to 1 decimal place

Answers

0.200 is your answer

I Will give brainliest!! On a piece of paper graph -- Then determian which answer choice matches the graph you drew

Answers

Answer:

i dont know sry for the bother

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

that's the only graph that actually matches the coordinates

If x & 130° are supplementary, find x ,with process ​

Answers

Answer:

50

Step-by-step explanation:

180-130=50

Supplementary angles mean either of two angles whose sum is 180°

Write an equation of the line that passes through the points (-6, -8) and (2, -8).

Y=

Answers

Answer:

I wanna say 8 if its.

y=8x+-8

If thats wrong im sorry

Answer:

8

Step-by-step explanation:

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