Which equation represents an ellipse with foci at (3, 2) and (-9, 2)
that passes through the point (-3, 10)?

Which Equation Represents An Ellipse With Foci At (3, 2) And (-9, 2)that Passes Through The Point (-3,

Answers

Answer 1

Answer:

D, since it horizontal ellipse, a is greater than b

Answer 2

An ellipse has two foci. The correct option is D.

What is the equation of ellipse if its major and minor axis and centre are given?

Suppose that the major axis is of the length 2a units and that the minor axis is of 2b units, and let the ellipse is centred on (h,k) with a major ellipse parallel to the x-axis, then the equation of that ellipse would be:

[tex]\dfrac{(x-h)^2}{a^2} + \dfrac{(y-k)^2}{b^2} =1[/tex]

Coordinates of its foci would be:    (h±c, k) where    c² = a² - b²

If its major axis is parallel to the y-axis, then,

coordinates of its foci would be:  (h, k±c) where   c² = a² - b² and its equation would be:

[tex]\dfrac{(x-h)^2}{b^2} + \dfrac{(y-k)^2}{a^2} =1[/tex]

Given the foci at (3, 2) and (-9, 2) that pass through the point (-3, 10), therefore, the equation of the ellipse will be,

[tex]\dfrac{\left(x+3\right)^{2}}{100}+\dfrac{\left(y-2\right)^{2}}{64}=1[/tex]

Hence, the correct option is D.

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Which Equation Represents An Ellipse With Foci At (3, 2) And (-9, 2)that Passes Through The Point (-3,

Related Questions

write the formula used to find length when the breadth height and volume are known........breadth when the length height and volume are known............ height when the breadth length and volume are known ..............Please answer this as fast as possible my homework is due tommorow

Answers

Answer: L = V/bh

b= V/Lh and h= V/Lb

Step-by-step explanation: V = Lbh or V= lwh is also used for the Basic form for the Volume of a cube or rectangular prism is

Volume = Length × breadth × height

The volume will be expressed as cubic units such as cubic meters cubic feet. Sometimes abbreviations are used like cm^3 for cubic centimeters.

When you know the Volume, and you need to find a missing dimension, just make a fraction with the V in the numerator and the dimensions you know in the denominator. This means you are dividing the Volume by the area of the dimensions you have been given to find the missing dimension.

Your answer will be fine

Round the number 53.18474629
a) To the nearest tenth
b) To the nearest thousandth
c) To the nearest whole number

Answers

Answer:

Step-by-step explanation:

To the nearest tenth:  53.2

To the nearest thousandth:  53.185

To the nearest whole number:  53

The answer should be 53.2 53.185 and 53

A certain forest covers an area of 2900 km. Suppose that each year this area decreases by 8.5%. What will the area be after 8 years?
Use the calculator provided and round your answer to the nearest square kilometer.

Answers

Answer:

1425 square kilometer.

Step-by-step explanation:

2900 - 8.5% = 2653.5

2653.5 - 8.5% = 2427.9525

2427.9525 - 8.5% = 2221.5765375

2221.5765375 - 8.5% = 2032.74253181

2032.74253181 - 8.5% = 1859.95941661

1859.95941661 - 8.5% = 1701.8628662

1701.8628662 - 8.5% = 1557.20452257

1557.20452257 - 8.5% =1 424.84213815 ≈ 1425

The guy above is right :)

help me plz i dont get this

Answers

Answer:

56 [tex]in^2[/tex]

Step-by-step explanation:

We can first break this down into 2 smaller rectangles.

1x2x4 rectangle

4x3x4 rectangle.

Then we can find out the area of each, and we get 8+48 = 56.

You also could find this out by subtracting the area that is missing.

Answer:

The volume of the container is 56 in^3

Step-by-step explanation:

To solve, I split this figure vertically at the corner between the two steps. We know that the formula for volume of a container is V= l*w*h. The first, smaller portion of the container has a length of 4, a width of 1, and a height of 2. 4*1*2= 8 in^3

The second, larger portion of this container has a length of 4, (look at the side of the first portion), a width of 3, (4-1=3), and a height of 4. 4*3*4= 48 in^3.

Finally, add together the volumes of the two portions and that is the volume of the whole figure. V= 56 in^3

You can choose from the following 15, 16, 24, -88, 75, -62, 151, 88, 1, 30, -5 Also thank you in advance I don't know why I don't get this one so please explain if possible!

Answers

Answer:

-88

Step-by-step explanation:

whoever deleted my answer thanks a lot

-88 = 8+q^3 + (12-4^2+7) -10^2

if alan had bought a figure at a discount of 5%, he would pay $20 less. How much would he pay if he had bought it at a discount of 20%

Answers

Answer:

80

Step-by-step explanation:

5%-->20% is increased by x4, therefore you multiply 20 by 4 which is 80 or you can set an proportion

5/20=20/x5x=400x=80
He would pay $320 at a discount of 20%.
The first step in solving this is hidden in the sentence “discount of 5%, he would pay $20 less”. This informs us that 5% of the price and $20 are the same
Our next step is to find how much 100% of the price is
Multiplying 5 and 20 gets us 100, so multiplying 5% by 20 will get us 100%
We already know that 5% is $20, so we can multiply $20 by 20 to get to 100% percent of the price
(20*20=400)
Now that we know the total price, we can find a discount of any percent. Since we know that a five percent discount will give you $20 dollars off, we can deduce that a 20% discount will give us $80 off.
(20/5=4)
(4*20=80)
(400-80=320!)
Hopefully this helps, if you need me to explain anything again I’ll try my best!

arner Home
Classwork for Alge.
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Next >
Pretest: Circles with and Without Coordinates
Submit Test
Reade
18
The curved parts of the figure are arcs centered at points A and C. What is the approximate length of boundary ABCD? Use the value = 3
and round the answer to one decimal place.
5
С
30°
А
120°
5

Answers

Answer:

The correct answer is

C. 23.1

Step-by-step explanation:

i think this is correct

The answer is 23.1 formal

Choose a system of equations with the same solution as the following system

Answers

Answer to this is- D
The answer is D option, which is the last

Zach keeps his pet chameleon Pinky in a terrarium with the dimensions shown below. There's sand in the bottom of the terrarium that reaches a height of 8 centimeters. Zach gets a new terrarium for Pinky that is larger. The base of the new terrarium is 25 by 64 centimeters. Zach moved the existing sand to the new terrarium.

Answers

Answer:

5cm

Step-by-step explanation:

50cm x 20cm x 8cm = 8000cm^3

25cm x 64cm = 1600cm^2

1600x=8000

x=5cm

X=5cm just do some math and you should be able to figure it out

please help real quick ​

Answers

Divide total km by the km in the scale:

112 / 16 = 7

The answer is A. 7 cm

Answer:

7 cm

Step-by-step explanation:

1 cm : 16 km   :: x cm : 112 km

Product of mean = Product of extreme

16 * x = 1 * 112

x =[tex]\frac{112}{16}[/tex]

x = 7cm

The t distribution approaches the _______________ distribution as the sample size ___________.

Answers

Answer:

Normal; increases.

Step-by-step explanation:

In Statistics and probability, a student t-distribution also known as the t-distribution refers to the continuous probability distribution which can be used to estimate population parameters when the population variance or standard deviation is not known (unknown) and the sample population is relatively small. The student t-distribution is a statistical distribution which was published in 1908 by William Sealy Gosset.

The t-distribution approaches the normal distribution as the sample size increases because the parameters becomes negligibly smaller.

This ultimately implies that, when the degree of freedom of a t-distribution curve is increased in comparison with that of a normal distribution, the value of probability becomes significantly similar.

Normal; increases!!!

The university theater uses a combination of one letter (A - Z) and two digits (0 - 9) to identify their reserved seats. How many reserved seats are
possible using a combination of one letter followed by two digits. EXPLAIN how to solve this problem in your own words.

Answers

Answer:

Hey There!! The answer to this is Correct option: 1) 2600 The letter has a total of 26 possible values (from 'a' to 'z'), and each digit has a total of 10 possible values (from 0 to 9).

So, to find the number of reserved seats possible, we just need to multiply the number of possible values of each letter and digit.

We have one letter and two digits, so we have:

26 * 10 * 10 = 2600 possible reserved seats

Thus, Correct option: 1)

Hope It Helped!~ ♡

ItsNobody~ ☆

The total number of combinations of one letter followed by two digits is 2600 option (1) 2600 is correct.

What are permutation and combination?

A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.

The missing options are:

1.) 26002.) 2343.) 2604.) 2106

We have:

The university theater uses a combination of one letter (A - Z) and two digits (0 - 9) to identify their reserved seats

As we know, in the alphabet(A to Z) there are the 26 letters and total number of digits (0 to 9) is 10

A total number of combinations of letters followed by two digits can be calculated as follows:

As we have one letter and two digits

= 26×10×10

= 2600

, so we have:

26 * 10 * 10 = 2600 possible reserved seats

Thus, the total number of combinations of one letter followed by two digits is 2600 option (1) 2600 is correct.

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Need help plz, show work too

Answers

Answer:

Hope it helps this is an isosceles triangle

Answer:




Explanation :

A basketball is shot into the air. Its height is represented by the polynomial equation
h(t) = -16+ + 35t + 5, where h is the height of the basketball at t seconds. What's
the height of the basketball at 1.5 seconds?
18.8 feet
21.5 feet
16.7 feet
1
20.2 feet

Answers

Answer:

21.5

Step-by-step explanation:

h(t) = -16t^2 + 35t + 5,

Let t = 1.5

h(1.5) = -16 (1.5)^2 + 35(1.5) + 5

        =-16 *2.25 +52.5+5

      = -36+57.5

      = 21.5

12.5 hope this help you

algebra 4 is hard because the answers aren’t on brainly

Answers

Answer:

5

Step-by-step explanation:

(p - q)(2)

= p(2) - q(2) ← use values corresponding to x = 2 from both tables

= 3 - (- 2)

= 3 + 2

= 5

The answer is 5. Good luck

The hanger image below represents a balanced equation. Find the value of r that makes the equation true.

Answers

Step-by-step explanation:

R is 4 times so the equation will be

32 = 4r

32/4 = r

8 = r

4r = 32 (divide both sides by 4)
r = 8

Therefore r is 8.

Help me please!!! This is the last day I can finish this ASAP PLEASE I will comment the solutions

Answers

Answer:

See below.

Step-by-step explanation:

1)

[tex]64=x^2\\x=\sqrt{64}\\x=8[/tex]

2)

[tex]64=x^3\\x=\sqrt[3]{64}\\ x=4[/tex]

[tex](4^3=64)[/tex]

3)

[tex]2^x=32\\2^x=2^5\\x=5[/tex]

4)

[tex]x=(\frac{2}{5})^3=\frac{2^3}{5^3}=8/125[/tex]

5)

[tex]\frac{16}{9} =x^2\\x=\sqrt{\frac{16}{9} }\\ x=\frac{\sqrt{16} }{\sqrt{9}} \\x=4/3[/tex]

6)

[tex]2\cdot2^5=2^x\\2^1\cdot2^5=2^x\\2^{(1+5)}=2^6=2^x\\x=6[/tex]

7)

[tex]2x=2^4\\2x=16\\x=8[/tex]

8)

[tex]4^3=8^x\\(2^2)^3=(2^3)^x\\2^6=2^{3x}\\3x=6\\x=2[/tex]

Answer:

1) 8

2) 4

3) 6

4) 6/15

5) 4/3

6) 6

7) 8

8) 2

Step-by-step explanation:

Im about to cook dinner just comment if you want work shown.

How would I answer this using a number line to find what the sum of
-2 + 2 =

Answers

Solution: in the picture

hope it helps^°^

IT EQUALS 0 CAUSE YOU GO BACK TWO THEN GO BACK UP TWO WHICH IS 0

Emanuel was charged \$32$32dollar sign, 32 for a 14\dfrac29 \text{ km}14 9 2 ​ km14, start fraction, 2, divided by, 9, end fraction, space, k, m taxi ride. What was the cost per kilometer? \$Emanuel was charged \$32$32dollar sign, 32 for a 14\dfrac29 \text{ km}14

9

2

​ km14, start fraction, 2, divided by, 9, end fraction, space, k, m taxi ride.

What was the cost per kilometer?

Answers

Answer:

$2.25/km

Step-by-step explanation:

The cost charged for a total taxi ride of [tex]14\frac{2}{9}\ km[/tex] was $32. To get the cost per km, we divide the cost charged for the total taxi ride by the total distance that was traveled by the taxi. The cost per km is given by:

Cost per km = [tex]\frac{Cost \ of\ money\ charged}{Total\ distance}=\frac{\$ 32}{14\frac{2}{9} \ km}=\frac{32}{\frac{128}{9} }= \$2.25/km[/tex]

Therefore the cost per kilometer is $2.25 per kilometer. Each kilometer traveled by the taxi cost $2.25.

The answer is $2.25 km

PLEASE HELP PLEASE WILL MARK BRAINLY

Answers

Answer:

Every 18 miles he uses 3 gallons

divide this:

18 ÷ 3 = 6 miles per gallon

30 miles = 30 ÷ 6 = 5 gallons

7 gallons = 7 x 6 = 42 miles

48 miles = 48 ÷ 6 = 8 gallons

10 gallons = 10 x 6 = 60 miles

Hope this helps :D

Yup the guy above is right

Match each function formula with the corresponding transformation of the parent function y = 3x
1. y = -3^ x Translated up by 1 unit 2.
2.y = 3^ -x Reflected over the y-axis 3.
3.y = 3 ^x - 2 Translated right by 2 units 4.
4. y = 3 ^x + 1 Translated down by 2 units 5.
5. y = 3^ x + 1 Translated left by 1 unit 6.
6. y = 3 ^x - 2 Reflected over the x-axis


Everything is exponents of the three except the -2 at the end and the 4th one is also +1 not an exponent

Answers

Answer:

1. y = -3^ x Translated up by 1 unit 2.

2.y = 3^ -x Reflected over the y-axis 3.

3.y = 3 ^x - 2 Translated right by 2 units 4.

4. y = 3 ^x + 1 Translated down by 2 units 5.

5. y = 3^ x + 1 Translated left by 1 unit 6.

6. y = 3 ^x - 2 Reflected over the x-axis

Step-by-step explanation:

Simplify: 15 7/12 x−9 1/3 x

Answers

I think it Should be 6.25x or 25/4x
6.25x would be the correct answer

can somewon help me plz

Answers

Answer:

=1468 in ^3

Step-by-step explanation:

Find the volume of the container as if the corner was still there

V = l*w*h

V = 10 * 10 *15

  = 1500

Subtract the missing corner

The volume of the missing piece is

V = l*w*h

   = 2*4*4

   = 32

V = 1500-32

   =1468 in ^3

Answer:

It is 1468 inches cubed.

Step-by-step explanation:

You first want to the volume of the entire shape by multiplying the length, width, and height, which is 10, 10, and 15.  They multiply to become 1500 inches cubed.  You then want to find the volume of the smaller rectangular shape, so multiply 4, 4, and 2.  And that equals 32.  So subtract the volume of the big shape that we found, 1500, by the volume of the small one, which is 32.  That equals 1468 inches cubed.  You want to subtract the volume of the big one by the small one because the volume is just the big shape with a small shape cut out of it.  So whenever you get one of these problems, just find the volume of both shapes, the big one and the small one, and subtract the small one from the big one.

Find the mean of the data in the pictograph below.

Answers

Answer:

10.5

Step-by-step explanation:

Answer: 10.5


Explanation: just use a mean calculator lol

Please Answer For Brainliest!!!


Answers

Answer:

C

Step-by-step explanation:

They want to find out altogether and the total number so add it up!

Answer: 72,132,204

Step-by-step explanation:

HELPP! QUICKKKK! Lol
Problem:
Last year I attended the Jurassic World Dinosaur Exhibit with my family and my friend and her family. My
family includes 2 adults (including myself) and my child we paid a total of $94. Her family includes 2
adults and 2 children she paid a total of $110. What was the admission price for an adult ticket and how
much was it for the admission price for a child ticket?
Let a represent adult ticket price
Let c represent child ticket price

Answers

Answer:

Child ticket = $16.

Step-by-step explanation:

Let adult tickets = a;

child ticket = c.

2a + c = 94 — eq no. 1,

2a + 2c = 110 — eq no. 2,

then,from eq 1,

c = 94 - 2a. —eq no. 3.

Substitute eq 3 into eq 2,

2a + 2(94 - 2a) = 110

2a - 4a = 110 - 188

-2a /-2 = -78 / -2

a = 39.

Substitute value of a into eq 3,

c = 94 - 2(39)

= 94 - 78

c = 16.

Thus, child ticket = $16.

Child= $16 and Adult= $39
Because, for the first family 39a+16c= $94 total for that family and just do the math for the other one :)

1.) Write 7/25 as a percent and decimal.

Answers

Answer:

Below

Step-by-step explanation:

● 7/25

Let' write this fraction as a decimal then convert it to a percentage

● 7/25 = 0.28

To get a percentage multiply it by 10

● 0.28 × 100

● 28 %

Answer:

0.28 or 28 percent

Step-by-step explanation:

1)The easiest way to solve this is with a calculator. Just enter in 7/25, and you get 0.28.

2) Now, 0.28 is out of 1, but we also want a percent, so you have to change it to make it out of 100. You do this by multiplying by 100, and to do that you simply move the decimal place 2 places back.

3) You would then get 28, so 28 percent.

Extra) You can also do the part I did with a calculator without, but it is much more time consuming. After you get 0.28, you would go through the steps listed above.

If you apply the changes below to the absolute value parent function, f(x)=x, what is the equation of the new function? Shift 2 units to the right shift 3 units down

Answers

Answer:

f(x) = Ix - 2I -3

Step-by-step explanation:

f(x) = IxI

f(x) = Ix - 2I -3

The equation is f(x) = | x – 2 | + 3 Then the vertex of the absolute function will be at (2, 3).

What is an absolute function?

The absolute function is also known as the mode function. The value of the absolute function is always positive.

The absolute function is given as

f(x) = | x – h | + k

If you apply the changes below to the absolute value parent function

f(x) = |x|

Then the equation of the new function will be

Shift 2 units to the right, shift 3 units down

f(x) = | x – 2 | + 3

Then the vertex of the absolute function will be at (2, 3).

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Sheila cuts 60 foot wire cable in equal stripes of [tex]\frac{4}{5}[/tex] of a feet each. how many strips does she make?

a) 48 b) 51 c)60 d) 70 e) 75

Answers

Answer:

e) 75

Step-by-step explanation:

Given the following :

Total length of cable = 60 foot

Length of each stripe = (4/5) of a feet

Number of stripes = ( total cable length / length of each stripe)

Number of stripes = ( 60 / (4/5))

Number of stripes = 60 ÷ 4/5

Number of stripes = (60 * (5/4)

= (60 * 5) / 4

= 300 / 4

= 75

Number of stripes made = 75

The answer should be E. 75

A pantry contains 6 shelves each 42 inches long.
The shelves are to be relined with fresh paper.
The paper is sold in 1-yard rolls. The number
of 1-yard rolls needed is:

Answers

Answer:

7 1-yard rolls

Step-by-step explanation:

1 yard = 36 inches.

6(42 in) = 252 inches.

252 in/36 in = 7

Therefore, 7 1-yard rolls are needed.

The number of 1-yard rolls needed to sell 6 shelves each of 42 inches is 7.

Given,

A pantry contains 6 shelves.

Each shelves = 42 inches long.

The shelves are to be relined with fresh paper.

The paper is sold in 1-yard rolls.

We need to find the number of 1-yards rolls needed to sell 6 shelves.

How many inches is 1yards?

1 yard = 36 inches.

We have,

6 shelves and each shelves is 42 inches.

1 shelves = 42 inches.

6 shelves = 6 x 42 inches

6 shelves = 252 inches.

And since,

36 inches = 1 yard

252 inches = (252/36) yard

252 inches = 7 yard

Thus the number of 1-yard rolls needed to sell 6 shelves each of 42 inches is 7 1-yard rolls.

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