What are the foci of the ellipse given by the equation 225x^2+144y^2=32,400?

Answers

Answer 1

Answer: look at the picture

Step-by-step explanation: Hope this help :D

What Are The Foci Of The Ellipse Given By The Equation 225x^2+144y^2=32,400?
What Are The Foci Of The Ellipse Given By The Equation 225x^2+144y^2=32,400?
Answer 2

The foci of the ellipse given by the equation 225x² + 144y² = 32,400 is located at (±15, 0).

What is Conic section?

A conic section, conic or a quadratic curve is a curve obtained from a cone's surface intersecting a plane.

The equation of an ellipse with major axis length 2a and minor axis length 2b can be written as:

(x/a)² + (y/b)²= 1

In this case, a = 15 and b = 12.

The equation of the ellipse can be written as:

(x/15)² + (y/12)² = 1

Multiplying both sides of the equation by 225×144 = 32,400 gives us:

225x² + 144y² = 32,400

The foci of an ellipse are located at (±a, 0).

Therefore, the foci of this ellipse are located at (±15, 0).

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Related Questions

Connor is splitting of ice cream with members of the team. If the ice cream is split​ evenly, how many will each person​ get? Explain.

Answers

Answer:

each person gets 1/4

Step-by-step explanation:

PLEASE HELP ME RIGHT NOW

Find the range and interquartile range of the data.

23,45,39,34,28,41,26,33

The range of the data is


The interquartile range of the data is

Answers

Answer:

the answer to the range should be 22 but i do not have the interquartile range :(

Step-by-step explanation:

The size your dog and the number of times you take it to the vet, The amount your drive to school and the amount you have to pay for gas, The number of people at your party and the number of sodas you have in the refrigerator. What correlation are all of these separately. None, Positive, or Negative thanks so much and tell me which one thanks!

Answers

1. No correlation

Those things don't really relate to each other.

2. Positive correlation

The more you drive your car, the more you'll have to pay for gas.

3. Negative correlation

More people = less soda.

A relay team of 4 people run 5 miles. How many miles does each person run?




Answers

Answer:

5 miles

Step-by-step explanation:

they all ran 5 miles

In which number is the value of the 5 ten times the value of the 5 in 10.059?
50.16
6.025
15.31
12.57

Answers

In which number is the value of the 5 ten times the value of the 5 in 10.059?
50.16
6.025
15.31
12.57


Answer is 6.025

A goliath grouper at the local aquarium ate 112 fish over the course of 8 hours. At this rate how many fish can he eat in 3.5 hours

Answers

Answer is 49

112 divided by 8 is 14
14 multiplied by 3.5 is 49

you have a spinner divided into 5 equal sections each section is number with a number 1 through 5 theoretically what is the probability of spinning and landing on a five​

Answers

Answer:

20%

Step-by-step explanation:

1/5 = 20/100 = 20%

Answer:

1/5

Step-by-step explanation:

probability- number of favorable outcomes/ number of total outcomes

in this question,

number of favorable outcomes is 1.

and, the number of total outcomes is 5.

so, probability of spinning and landing on 5 is 1/5.

Find the missing side of each right triangle. Side c is the hypotenuse. Sides a and b are the legs. Round your answers to the nearest tenth if necessary. b= 12 mi. C= 13 mi​

Answers

Answer:5

Step-by-step explanation:

a2+b2=c2

a2+12squared=13 squared

169-144=a2

a2=25, now that we have 25 we have to find the square root which is 5.

what force would be required to accelerate a 1,100 kg car to 0.5m/s?

Answers

Answer:

550 N

Step-by-step explanation:

We can solve the problem by using Newton's second law:

[tex]F=ma[/tex]

F is the force required to accelerate the car

m is the mass of the car

a is the acceleration of the car

In this problem, the mass is m=1100 kg, while the acceleration is a=0.5 m/s^2, therefore the force required to accelerate the car is

[tex]F=ma=(1100kg)(0.5m/s^{2} )=550N[/tex]

Hope this helps!

please help i wanna pass
A wildlife society is taking a sampling of the lengths of bluegill fish at a local lake.


If the survey resulted in the data above, the distribution of fish lengths would be best described as...
A.
symmetrical with multiple modes.
B.
symmetrical with one mode.
C.
skewed to the right.
D.
skewed to the left.

Answers

Answer:

it was skewed to the right

Step-by-step explanation:

i just answered the quistion and D was not the answer

If -x = 20, then x = ?

Answers

Answer:

[tex] - x = 20 \\ so \: x \: will \: be \: = - 20[/tex]

Hope it helps!

Answer: x = -20

Step-by-step explanation:

Question: If -x = 20, then x = ?

Multiply both sides of the equation by -1

(-1)(-x) = (-1)(20)

Simplify (remember that multiplying two negative numbers equals a positive number)

x = -20

Evaluate the expression if x = 3.
5x – (4 + x)

-

do not post any links.

Answers

Answer:

the answer is 8

Step-by-step explanation:

5 times 3 is 15

4 plus 3 is 7

15 minus 7 is 8

pls help me and I will mark u as brainliest ​plsss anyone i am beginning you plsss help

Answers

Answer:

315°

Step-by-step explanation:

An aquarium has the dimensions of 36 inches wide, 10 inches long and 9 inches high. It was filled with 7 inches of water. How many cubic inches of water does the aquarium have?

Answers

Answer:

106

Step-by-step explanation:

7*10*36=106

In how many years will $12000 yield an interest of $13230 at %10 simple interest

Answers

Answer:

the answer is 11.025

11.025 is the correct amount of years will be taken

Pam wants to put a banner across her garage door to congratulate her son on his college graduation. The garage door is 9 feet high and 12 feet wide. How many feet long should the banner be to fit the garage door?

Answers

9514 1404 393

Answer:

  15 feet

Step-by-step explanation:

The diagonal of a 9 ft by 12 ft rectangle is given by the Pythagorean theorem as ...

  d = √(9² +12²) = √225

  d = 15 . . . . feet

The banner should be 15 feet long to match the length of the door diagonal.

Isabel bought some books for $6 each and received a discount of $8 off of her total purchase. She spent $58 after the discount. How many books did she buy?

Answers

Answer:

She bought 11 books.

Step-by-step explanation:

If she spent $58 after the discount, then you can add 8+58 to see what the price would have been. 8+58=66. Then you divide 66 by 6 because each book costs $6. 66/6 = 11

Find the slope of the line passing through the points (6,6) and (6, -7).
slope: 1

Answers

Answer:

The line is a vertical line, which does not have a slope.

Step-by-step explanation:

Slope of a line:

Suppose we are given two points in the format (x,y) of a line. The slope is given by the change in y divided by the change in x.

(6,6) and (6, -7).

Change in y: -7 - 6 = -13

Change in x: 6 - 6 = 0

Slope is a division by 0, which means that the line is a vertical line, which does not have a slope.

The difference between -7 and a number x is no more than -2/3

Answers

Answer:

Pregunta muy difícil, no creo que pueda resolver este amigo.

Step-by-step explanation:there is no step-by-step thing because honestly don't understand what your trying to say here. Hmm...

Need the measurements for 1 2 and 3

Answers

Answer:

m, c, and l

Step-by-step explanation:

How can you find the area of a quadrilateral

Answers

Answer:

(½) × diagonal length × sum of the length of the perpendiculars drawn from the remaining two vertices.

Step-by-step explanation:

or you can solve for the area of the rectangle then the area of the triangle and add them together

help please

Find the x-intercepts for the parabola defined by the equation below.
y= x^2-9x+ 18
A. (-3,0) and (-6,0)
B. (0, -3) and (0, -6)
c. (0,3) and (0,6)
D. (3, 0) and (6.0)

Answers

Answer:

The answer correct (D).

The x-intercepts for the parabola defined by the equation y= x²-9x+ 18 are (3, 0) and (6.0)

What is quadratic equation?

A quadratic equation is a second-order polynomial equation in a single variable x , ax2+bx+c=0. with a ≠ 0 .

We have to find the  x-intercepts for the parabola y= x²-9x+ 18

We have to make y as zero to find the x intercepts

x²-9x+ 18 = 0

This equation is in the form of quadratic equation

x² -6x-3x+18=0

x(x-6)-3(x-6)=0

(x-3)(x-6)=0

x=3 or x=6

Hence, the x-intercepts for the parabola defined by the equation y= x²-9x+ 18 are (3, 0) and (6.0)

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81 people passed and 27 failed their Functional Skills Level 2 exams.
Write this as a ratio in its simplest form.

Answers

Answer:

The ratio of approved and disapproved people in its simplest form is 3:1.

Step-by-step explanation:

Since 81 people passed and 27 failed their Functional Skills Level 2 exams, to write this as a ratio in its simplest form, the common greatest divisor of both numbers must be obtained:

27 is divisible by 1, 3, 9 and 27

81 is divisible by 1, 3, 9, 27 and 81

Therefore, the common greatest divisor of both numbers is 27. So, since 27/27 is equal to 1, and 81/27 is equal to 3, the ratio of approved and disapproved people in its simplest form is 3 :1.

The ratio in its simplest form is 1 : 3.

Definition of ratio

Ratio expresses the relationship between two numbers. It is the frequency with which a number is contained in another number. The sign used to represent ratio is ':'.

Expressing in the simplest form

In order to express the given number of people that passed and failed the exam, we have to divide both numbers by the highest common factor until both numbers cannot be divided further to yield a whole number.

Common factor of 27 and 81 = 1, 3, 9, 27

Highest common factor = 27

Expressing in the simplest form = 1 : 3

To learn more about ratios, please check: https://brainly.com/question/25927869

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Answers

Answer:

21) Scalene - Right triangle, 22) Scalene - Right triangle, 23) Equilateral - Acute triangle, 24) Isoceles - Obtuse triangle, 25) Scalene - Right triangle.

Step-by-step explanation:

21) This triangle has three sides of distinct length and a right angle and two acute angles: Scalene - Right triangle.

22) This triangle has three sides of distinct length and a right angle and two acute angles: Scalene - Right triangle.

23) This triangle has three sides of same length and three acute angles: Equilateral - Acute triangle.

24) This triangle has two sides of same length and an obtuse angle and two acute angles: Isoceles - Obtuse triangle.

25) This triangle has three sides of distinct length and a right angle and two acute angles: Scalene - Right triangle.

Your answer should be  :1) Scalene - Right triangle, 22) Scalene - Right triangle, 23) Equilateral - Acute triangle, 24) Isosceles - Obtuse triangle, 25) Scalene - Right triangle.Step-by-step explanation:21) This triangle has three sides of distinct length and a right angle and two acute angles: Scalene - Right triangle.22) This triangle has three sides of distinct length and a right angle and two acute angles: Scalene - Right triangle.23) This triangle has three sides of same length and three acute angles: Equilateral - Acute triangle.24) This triangle has two sides of same length and an obtuse angle and two acute angles: Isosceles - Obtuse triangle.25) This triangle has three sides of distinct length and a right angle and two acute angles: Scalene - Right triangle.Step-by-step explanation:hope this help

Find the measure of one exterior angle. Round your answer to the nearest 3 points
tenth if necessary.
Your answer
Find the measure of one exterior angle. Round your answer to the nearest tenth of necessary

Answers

Answer:

aikajwbuabsbss

abhsua w

wmhabw

8x+5
3x+8
Find the measurement of x!!

Answers

Answer:

Step-by-step explanation: look at the picture

Find the measure of angles 1-7(please help)

Answers

Answer:

Step-by-step explanation:

1. 70 deg (compliment angle of 110 deg.)

2. 65 deg (compliment angle of 115 deg.)

3. 65 deg (corresponding angle of angle 2)

4. 115 deg (corresponding angle of 115 deg.)

5. 45 deg (angles 1+3+5 = 180 deg. as sum of internal angles in a triangle)

6. 45 deg (alternate angle of angle 5)

7. 45 deg (corresponding angle of angle 5)

A monitor measures 10.6 inches by 16.8 what is the length of the diagonal

Answers

Step-by-step explanation:

We will use pythagoras' Theorem for this question

[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]

where c is the longest side (in this case, the diagonal)

a and b are the 2nd and 3rd longest side (interchangeable)

given a = 10.6, b = 16.8,

[tex] {c}^{2} = {10.6}^{2} + {16.8}^{2} \\ {c}^{2} = 112.36 + 282.24 \\ {c}^{2} = 394.6 \\ c = \sqrt{394.6} \\ = \frac{ \sqrt{9865} }{5} inches[/tex]

A pizzeria sells 1 pizza pie for $13, 2 for $23, 3 for $33, and 5 for $53.
Is that a proportional relationship? yes or no?

Answers

Answer:

Yes, 10 dollars are added each time

Step-by-step explanation:

Please help me with these, find the missing side. Thank yu only if you know

Answers

Answer:

7.48m (3s.f.)

Step-by-step explanation:

Let the missing side be x m.

Applying Pythagoras' Theorem,

x² +5²= 9²

x² +25= 81

x²= 81 -25 (-25 on both sides)

x²= 56

[tex]x = \sqrt{56} [/tex]

[tex]x = 2 \sqrt{14} [/tex]

x= 7.48 (3 s.f.)

∴ The missing side is 7.48 m (3s.f.)

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