The ellipse with the equation 9x2 + 16y2 = 144 ________.

a. is in Position II
b. has no symmetry
c. is in Position I
d. has no foci

Please help me figure out how to determine this!!

Answers

Answer 1

The ellipse with the equation stated above is:
Position I (Option C )

What is an Ellipse in Maths?

An ellipse is a circle that has been extended in one direction such that it is no longer a circle but an oval.

Solution

In order to determine the position of the ellipse with the above equation, we can start by simplifying the equation.

Hence, 9x² + 16y = 144 becomes

x²/16 + y²/9 =  1 (We arrive at this by dividing both sides of the equation by 144);

The x-axis is the major axis because the biggest denominator is under the x² term.

Thus the coordinates of the vertices are as follows:

(± a, 0); (0, ± b)

Hence:

a² = 16 → a = 4

b² = 4 → b = 2

Hence the coordinates are:

(± 4, 0); (0, ± 2)

Given the above, the eccentricity is given as:

e = √(1 - (3/4)^2 = (√7)/4 = 0.6614378

Hence the ellipse is: 0.66

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The Ellipse With The Equation 9x2 + 16y2 = 144 ________.a. Is In Position IIb. Has No Symmetryc. Is In

Related Questions

please help! What fractional part of one semicircle does the labeled angle represent? Express
your answer as a fraction in simplest terms. Then, express the labeled angle in radian
measure,
100'

Answers

Let's consider what the problem wants us to find:

fractional part covered by the labeled angleangle in radians

Let's find the fractional part:

  ⇒ the fractional part is equal:

       [tex]\frac{degree-covered-by-angle}{total-angle} =\frac{100}{180} =\frac{2*2*5*5}{2*2*3*3*5} =\frac{5}{3*3} =\frac{5}{9}[/tex]      

 Answer: The angle 100 degrees covers 5/9 of a semicircle.

Let's find the angle measure in radians:

⇒ we know that [tex]2\pi[/tex] radians are equal to 360 degrees

   ⇒ to convert any degree to radians, you must multiply [tex]\frac{\pi }{180}[/tex]

       so [tex]100*\frac{\pi }{180} =\frac{100\pi }{180} =\frac{10}{18} \pi =\frac{5}{9} \pi[/tex]

Answer: The angle 100 degrees in radians is [tex]\frac{5}{9} \pi[/tex]  which in terms of [tex]\pi[/tex] is

5/9

Hope that helps!

Sue’s bank account has a balance of $899.83 before she starts spending money. she makes the following transactions: transaction cost ($) rent 353.76 video game 32.79 bike maintenance 60.26 jacket 55.62 rug 80.40 night out 35.77 sue is considering splitting the cost of a new tv with her roommate. her share would be $305.22. can sue afford this? a. yes, she can make the purchase and have money left over. b. yes, but doing so will clear out her account. c. no, making that purchase will overdraw her account. d. no, she is overdrawn already. please select the best answer from the choices provided a b c d

Answers

Answer:

Sue cannot afford to split the cost of a new TV as she only has $281.23 in her bank account after transactions. She has to contribute $302.22 and she doesn't have enough money.

Explanation:

Item                                                        Debit Credit  Balance

Bank balance before transactions                     899.83

Rent                                                 353.76            546.07

Video game                                           32.79            513.28

Bike maintenance                                   60.26           453.02

Jacket                                                   55.62           397.40

Rug                                                           80.40            317 .00

Night out                                           35.77            281.23

Sues bank balance after all the transactions is $281.23

Step-by-step explanation:

Help me please-math-

Answers

Answer:

Its C

Step-by-step explanation:

if 1 killogram = 1,000 grams then all you will have to do is divide 8,885 by 1,000

which is 8.885

Answer: the correct answerr is choice c .

Step-by-step explanation

8.885. HOPEITHELPSYOU.

A cylindrical piece of iron pipe is shown below. The wall of the pipe is 0.75 inch thick, and the pipe is open at both ends: The figure shows a cylinder of height 16 inches and diameter 6 inches. What is the approximate inside volume of the pipe? 113 cubic inches 452 cubic inches 410 cubic inches 254 cubic inches

Answers

Answer:

so add them all up and divide by 2

Step-by-step explanation:

so the anser is 11.24

Answer:

D.  254 cubic inches

Step-by-step explanation:

what is the answer to 28r+24

Answers

Answer:

[tex]\boxed{\sf{4(7r+6)}}[/tex]

Step-by-step explanation:

In order to solve this problem, you must find the factor to use the distributive property.

Distributive property:

→ A(B+C)=AB+AC

28r+24

4*7=28

4*6=24

Rewrite the problem down.

4*7r+4*6

Solve.

4*7r=28r

4*6=24

28r+24

Therefore, the final answer is 4(7r+6).

I hope this helps! Let me know if you have any questions!

5x+1/3 = 7 help me, thanks!

Answers

Answer:

5x+1/3=7

5x+1=7×3

5x+1=21

5x=21-1

5x=20

x=20/5

x=4

Answer:
x=4/3
Step-by-step explanaion:
=> 5x=7-1/3
=>5x=20/3
=>x=4/3

I NEED HELP FAST OR ILL FAIL
Draw a graph of kinetic energy against mass using the table. To plot a point, use the circle tool. To draw a line between points, use the line tool. To move a point or line, use the select tool. Once you’ve finished drawing the line, describe its shape in a text box on the graph.



here is the table Mass of Student
(kilograms) Kinetic Energy
(joules) Constant Speed
(meters/second)
27 121.5 3
36 162.0 3
45 202.5 3
54 243.0 3
64 288.0 3
73 328.5 3

Answers

Answer:

Step-by-step explanation: I failed to get this right for yall XD

The equation of line is y = ( 1/2 ) mv² , where m is the mass of the student and y is the kinetic energy

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let y represent the kinetic energy and mass is m

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

The equation for kinetic energy is K = ( 1/2 )mv²

The constant speed v = 3 m/s

So , the linear equation is

y = { 121.5 , 162 , 202.5 , 243 , 288 , 328.5 }

x = { 27 , 36 , 45 , 54 , 64 , 73 }

The slope m = y / x

On simplifying , we get

m = 121.5 / 27 = 4.5

And , the equation of line is

y - 121.5 = 4.5 ( x - 27 )

Adding 121.5 on both sides , we get

y = 4.5x

Now , plotting the points on the graph , we get a straight line

Hence , the equation of line is solved and the graph is plotted

To learn more about equation of line click :

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A bouncy ball is dropped from a height of 16ft and always rebounds of the distance of the previous fall.
What distance does it rebound the 5th time?
What is the total distance the ball has travelled after this time?

Answers

16x5=80 cause if it bounces 16 times 5 times then

Find the equation of the line that goes through the point (1, -1) and has a slope of 5.
y = 5x - 6
y = 5x + 1
y = 5x - 1
y = x + 5

Answers

The equation of the line that goes through the point (1, -1) and has a slope of 5 is y = 5x - 6

How to find linear equation of a line?

The linear equation of a line is represented as follows:

y = mx + b

where

m = slopeb = y-intercept

Therefore, the line passes through (1, -1) and has a slope of 5.

Using the model y = mx + b,

y = 5x + b

let's find b using (1, -1)

- 1 = 5(1) + b

-1 - 5 = b

b = -6

Therefore, the equation of the line that goes through the point (1, -1) and has a slope of 5 is y = 5x - 6

learn more on equation of a line here: https://brainly.com/question/11897796

Answer:

y=5x-1

Step-by-step explanation:

Slope is represented as m. y-intercept is represented as b. And ordered pairs are written in the form x,y. So you ignore the first 1 in your ordered pairs and just look at the second one because the second one represents the y-intercept.

I hope this helps!!!

Which expression has the same value as -8+(-7)? F-8-(-7) G -8+7 H -7-(-8) J -7-8​

Answers

Answer:

Choice J

[tex]-8 + (-7) = -7-8[/tex]

Answer:

The answer is Option J

Step-by-step explanation:

(-8) + (-7) = (-8) – 7 = (-15)

(F) (-8) – (-7) = (-8) + 7 = (-1)

(G) (-8) + 7 = (-1)

(H) (-7) – (-8) = (-7) + 8 = 1

(J) (-7) – 8 = (-15)

Thus, Option (J) has the same value as (-8) + (-7).

Solve for s.
0.58 +1 = 7 + 4.53

Answers

Answer: s=9.95

Step-by-step explanation:

1 + 0.58 = 1.58

7 + 4.53= 11.53

11.53 - 1.58 = 9.95

So, s is 9.95

If f(x)=6x+1 and g(x)=2x^2-5x, what is f+g

Answers

Answer:

2x²+x+1

Step-by-step explanation:

you are adding the functions  together so it is collecting like terms

        6x+1

+ 2x²-5x      

 2x²+x+1

Joe does 25 sit ups each day. How many set ups does he do in three weeks? Remember, one week has seven days.

Answers

Answer:

525 sit-ups

Step-by-step explanatiSince there are 7 days in a week, and there are 3 weeks, you can multiply 7 * 3 = 21 to find out how many days Joe is doing situps. Next, you need to multiply the number of situps per day by the number of days: 25 * 21 = 525. Joe will do 525 situps in 3 weeks.

Hope this helps! :)

Six books need to be placed on a shelf.
You randomly arrange the books on the
shelf from left to right.

Answers

Explanation:

For

6

books, that means we have

6

spots to put them in.

Our first book has

6

spots it can be in.

Our second book will now have

5

, since one is taken up by the first spot.

The next will have

4

, then

3

,

2

, and

1

. Thus, we can model the number of arrangements as

6

5

4

3

2

1

=

6

!

=

720

Therefore, we have

720

ways of arranging

6

books on the shelf.

Hope this helps!

PLEASE HELP 88 POINTS Alejandro volunteers on the weekend at the Central Library. As a school project, he decides to record how many people visit the library, and where they go. On Saturday, 463 people went to The Youth Wing, 474 people went to Social Issues, and 335 went to Fiction and Literature. On Sunday, the library had 1100 total visitors. Based on what Alejandro had recorded on Saturday, about how many people should be expected to go to The Youth Wing? Round your answer to the nearest whole number.

Answers

Answer:

401 people

Step-by-step explanation:

First, find the percentage of students that went to the Youth Wing on Saturday, this is 463/463+474+335

464/1272

=36.4779874%

Multiply it now by the Sunday visitors, 0.364779874 x 1100

= 401.2578616

=401 people

Answer: 400

Step-by-step explanation:

Help!!! Find the value of
x
xx in the isosceles triangle shown below.

Answers

You have to use Pythagoras’ theorem to find the hypotenuse
Which is root 4^2 + 3^2 = 5

5x + 2y = 8
-4x + 10y = 40

Answers

Answer:

(0, 4 )

Step-by-step explanation:

5x + 2y = 8 → (1)

- 4x + 10y = 40 → (2)

multiplying (1) by - 5 and adding to (2) will eliminate y

- 25x - 10y = - 40 → (3)

add (2) and (3) term by term to eliminate y

- 29x = 0 , then

x = 0

substitute x = 0 into (1) and solve for y

5(0) + 2y = 8

0 + 2y = 8

2y = 8 ( divide both sides by 2 )

y = 4

solution is (0, 4 )

Need the Answer quickly

Answers

the answer is B because it's B

can you solve it I need this respond pless

Answers

Complementary is when the sum of both angles = 90 (right angle)
Supplementary is when sum of both angles = 180 (flat angle)

So,

90-56 = 34
180-56=124

Isosceles triangle ABC contains angle bisectors segment BF, segment AD, and segment CE that intersect at X.

If segment BA is congruent to segment BC and m∠BCA = 48°, what is m∠CXA?

132°
96°
66°
24°

Answers

Answer:

The measure of angle CXA is 134°

Step-by-step explanation:

* Lets explain how to solve the problem

- Triangle ABC is an isosceles triangle where AB = BC

∵ AB = BC

- The base angles in the isosceles triangle are congruent

∴ m∠BAC = m∠BCA

∵ m∠ BCA = 46° ⇒ given

∴ m∠ BAC = 46°

- The sum of the measures of the interior angles in any triangle is 180°

∵ m∠BAC + m∠BCA + m∠ABC = 180°

- Substitute the values of angle BAC and BCA in the equation above

∴ 46 + 46 + m∠ABC = 180

∴ 92 + m∠ABC = 180

- Subtract 92 from both sides

∴ m∠ABC = 88°

- BF , AD , CE are bisectors segments of angles B , A , C and they are

 intersected at point X

∵ CE bisects ∠BCA

∵ X ∈ CE

∴ m∠XCA = 1/2 m∠BCA

∴ m∠XCA = 1/2 (46) = 23°

∵ AD bisects ∠BAC

∵ X ∈ AD

∴ m∠XAC = 1/2 m∠BAC

∴ m∠XAC = 1/2 (46) = 23°

- In Δ AXC

∵ m∠XAC = 23° ⇒ proved

∵ m∠XCA = 23° ⇒ proved

∵ m∠CXA + m∠XAC + m∠XCA = 180° ⇒ interior angles of Δ

Substitute the values of angles XAC and XCA

∴ m∠AXC + 23 + 23 = 180

∴ m∠CXA + 46 = 180

- Subtract 46 from both sides

∴ m∠CXA = 134°

* The measure of angle CXA is 134°

Answer: I also have this question and because everybody is saying 134 I believe it is 132. So I hope this helps.

P.S If possible please mark it as the brainliest. thanks

Consider theline plot below. What is the median of the data. What is the mean

Answers

I KNOW I KNOW IT IS 3.5 BECAUSE I LEARNED THIS A FEW DAYS AGO :D IN MY MIDDLE SCHOOL EDGE

A company is replacing cables with fiber optic lines in rectangular casing bcde. if segment de = 3 cm and segment be = 3.5 cm, what is the smallest diameter of pipe that will fit the fiber optic line? round your answer to the nearest hundredth. quadrilateral bcde inscribed within circle a 3.91 cm 4.24 cm 4.61 cm 4.95 cm

Answers

Answer:

4.61

Step-by-step explanation:

I saw another question that had 3 and 3 and that question's answer was 4.24, so i multiplied the 0.5 and got 4.61

A scatter plot is shown:

A scatter plot is shown. Data points are located at 0 and 1, 1 and 1.5, 2 and 2, 3 and 2.5, 4 and 3, 5 and 3.5, 6 and 4, 7 and 4.5, 8 and 5.
What type of association does the graph show between x and y? (4 points)

A: Linear positive association
B: Nonlinear positive association
c: Linear negative association
D: Nonlinear negative association

Answers

Answer:

A is the answer hope this helps

Please help me with this one!

Answers

It would be C because no other would have worked.

The volume of a right cone is 3675π units^3 3 . If its radius measures 15 units, find its height.

Answers

The height of the right cone given its volume and its radius is 49 units.

What is the height of the right cone?

Volume of a cone = 1/3(πr²h)

Where:

π = 22/7r = radius h = height

Height = volume / 1/3(πr²)

3675π / (1/3 x π x 15²) = 49 units

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(20 points and Brainliest)

Given the following graph, what is the x-coordinate of the vertex?



A)0

B)-1

C)8

D)7.5

Answers

Since the vertex is the tallest or shortest point on the graph, the vertex would be 8 since 8 is the tallest point. So it would be B. 8

Answer:

Since the vertex is the tallest or shortest point on the graph, the vertex would be 8 since 8 is the tallest point. So it would be B. 8

Step-by-step explanation:

round 56709 to the nearest thousands

Answers

the answer would be 57000!

Answer:

57000

Step-by-step explanation:

56709 = 50000 + 6000 + 700 + 9

6709 is closer to 7000 that 6000

The answer is 57000

Hope this helps :)

Have a nice day!

PLEASE HELP, I'LL GIVE BRAINIEST!!!
What is b?

Answers

Answer:

B is 6

Step-by-step explanation:

When y is zero the x on the other side will represent B, because that would be the Y-intercept

⚠️‼️ HELP PLEASE WILL GIVE POINTS​

Answers

Answer:

48°

Step-by-step explanation:

Angles on a straight line sum to 180°Therefore [tex](7x-92)+(6x+12)=180[/tex]Combine like terms[tex]13x-80=180[/tex]Add 80 to both sides[tex]13x=260[/tex]Divide both sides by 13[tex]x=20[/tex]Insert this into 7x - 927 * 20 - 92 = 140 - 92 = 48

A motor center carries out servicing of cars, which includes the replacement of parts.
Three service technicians can each do 5 services per day . Normally they work Monday to Friday, but
sometimes one technician will also work on Saturday.
Each car requires 1 air filter, 1 oil filter, 1 quantity of engine oil and 4 spark plugs.
The parts are purchased in bulk, and come in boxes containing the quantities shown below.

Air filter............. 8 per box
Oil filter ............ 20 per box
Engine oil ......... 4 per box
Spark plugs ...... 80 per box


How many boxes of each item is it necessary to buy each week, if the motor center is to carry out the maximum possible number of services?

Answers

Answer:

1 box of spark plugs, 3 air filter boxes, 1 oil filter box, and 5 boxes of engine oil

Step-by-step explanation:

the max amount of services that can be done is about 20 per week, including the one on Saturday. so u just multiply the amount needed by the 20 possible services and check to see the amount that comes in each box, then get as many as needed

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