Write the equation in standard form for the ellipse with center at the origin, vertex (-8, 0), and co-vertex (0,4).​

Hey there! I'm happy to help!

Let's call these numbers x and y and model the information we have.

x=1/5y

y-x=228 (we see that x is smaller than y in the first equation, so we put it second )

We see that x is equal to 1/5y. We can switch the x in the second equation with 1/5y and solve for y.

y-1/5y=228

4/5y=228

We divide both sides by 4/5.

y=285

We know that x is 1/5 of y, so we divide by 5.

285/5=57

x=57

So, our numbers are 57 and 285.

Have a wonderful day! :D

The 2 positive numbers are 285 and 57 and they have a difference of 228.

An equation is an expression used to show the relationship between two or more numbers and variables.

Let x represent the bigger positive number and y the smaller number. Hence:

Also:

Solving equation 1 and 2 simultaneously gives:

x = 285, y = 57

The 2 positive numbers are 285 and 57 and they have a difference of 228.

Find out more on equation at: https://brainly.com/question/13763238

Answer:

The width is 16 cm

Step-by-step explanation:

The perimeter of a rectangle=28 cm

length=8cm

width=?

P=28

=L+W

=8+8=16

=6+6=12

=16+12

=28 cm

Therefore, the width is 6+6=16 cm

Hope it helps you!!

Answer: 12

Step-by-step explanation: the length is 8 cm so, times that by 2 because there are 2 lengths which makes it 16cm. Now you subtract 16 from the 28cm which is 12cm divide this by 2 because there are two widths this equals 6 cm

Therefore; our width is 6 cm

To check if this is right you can add all the values= 8+8+6+6= 28cm

Answer:32

Step-by-step explanation:

Answer:

just look it up it says 32 fluid ounces in one quart

Answer:

Step-by-step explanation:

1/2x - y = 8

1/2x = 8 + y

2(1/2x = 8 + y)

x = 16 + 2y

Answer:

Step-by-step explanation:

4x - y = 5..........… Equation 1

x + 2y = 8 ............. Equation 2

Make x the subject in equation 2 and substitute it into equation 1

That's

x = 8 - 2y

We have

4( 8 - 2y ) - y = 5

32 - 8y - y = 5

- 9y = - 27

Divide both sides by - 9

We have the final answer as

Substitute y = 3 into x = 8 - 2y

That's

x = 8 - 2(3)

= 8 - 6

Hope this helps you

Step-by-step explanation:

4x-y=5-----×1.

x+2y=8----×4.

which will be....

4x-y=5

- 4x+8y=32.

____________

-9y=-27

----- ----

-9. -9.

y=3.

then substitute into any equation...

equation one.

4x-3=5.

4x=5+3.

4x=8.

x=8/4.

x=2.

therefore y=3 and x=2.

Answer:

<1 and <2 value is 120°

hope it will help you

Answer:

−10x2+−18x+26

Step-by-step explanation:

Let's simplify step-by-step.

−5x2−9x+8−5x2−9x+8−−6x2+5−6x2+5

=−5x2+−9x+8+−5x2+−9x+8+6x2+5+−6x2+5

Combine Like Terms:

=−5x2+−9x+8+−5x2+−9x+8+6x2+5+−6x2+5

=(−5x2+−5x2+6x2+−6x2)+(−9x+−9x)+(8+8+5+5)

Step-by-step explanation:

volume = crossectional area×height

55×21= 1155cm³

Answer:

The correct option is J.II, III, IV and V only.

Step-by-step explanation:

A rational number are those numbers that can shown in a p/q form or as the ratio of two numbers.

The numbers that cannot be shown as the ratio of two numbers are known as irrational.

Consider each number at a time:

[tex]\sqrt{49} =7\equiv 7:1[/tex]

[tex]0.287=\frac{287}{1000}[/tex]

[tex]\sqrt{\frac{9}{16}}=\frac{3}{4}\equiv 3:4[/tex]

[tex]25\equiv 25:1[/tex]

Thus, the numbers that are rational are II, III, IV and V.

The correct option is J.

Answer:

The interval over  which the cost is constant is from >0 to 15,000 gallons

The interval for which the the cost is increasing is from above 15,000 gallons

Step-by-step explanation:

For 15,000 gal or less the cost of the monthly water bill = $15.50

For over 15,000 gal, the cost of the monthly water bill = $15.50 plus $1 for each 1000 gal over 15,000 with any fraction of $1,000 charged at a fraction of $1

The interval for which the cost is constant is from 0 ≤ x ≤ 15,000 gal

The interval over which the const is increasing per 1000 gal over 15,000 gallons is from x > 15,000 gal.

Answer:

The interval in which the cost is constant is

[0,15000]

Step-by-step explanation:

The interval is increasing by [1500,∞]

Answer:

if the radius and diameter of two circles is same/equal then those two circles are similar

Step-by-step explanation:

Answer:

if the radius and diameter of two circles is same/equal then those two circles are similar

Step-by-step explanation:

Collinear points are points that lie on the same straight line.

In the figure, we can see that points E, B, and F are all on the same straight line, meaning that they are three collinear points.

Hope this helps.

頑張って!

Answer:

Put in the question that you need help with

Step-by-step explanation:

I would probably be able to answer it for you.

The sum of the expressions (7x – 6y) and (3x – 5y) will be 10x – 11y.

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

The expressions are given below.

(7x – 6y) and (3x – 5y)

Then the sum of the expressions will be

⇒ (7x – 6y) + (3x – 5y)

⇒ 7x – 6y + 3x – 5y

⇒ 10x – 11y

More about the simplification link is given below.

https://brainly.com/question/12616840

#SPJ1

Answer:

20 m

Step-by-step explanation:

2) t = -b/2a (FROM QUAD. FORMULA)

   t =  -20/2(-5)

   t = 4/2 = 2/1 = 2

t = 2, insert

h(2) = -5(2)² + 20(2)

h(2) = -20 + 40

h(2) = 20 m

VERTEX: (2,20)

Answer:

20m

Step-by-step explanation:

If a submarine at -650 feet defends 400 more feet then integer that represents its new position will be; -1050 feet

Natural numbers are: 1, 2, 3, ....

Integer numbers are: ...., -2, -1, 0, 1, 2, ... (so it includes positive and negative natural number, and 0 )

Know that all natural numbers are integers, all integers are rational numbers. That means, natural numbers are not irrational.

Given that ;

The submarine is underwater. It’s position is 650 feet below sea level.

It rises in the water 400 feet and then descends 400 feet.

Since the submarine again came back to original position by covering the distance.

The integer will be;

-650+(-400)=-1050

Hence the integer representing the change in the Submarine’s position is -1050

Learn more about numbers here;

https://brainly.com/question/3151755

#SPJ6

Answer: 252pi units^2

Step-by-step explanation:

A p e x

The surface area of the given right cylinder is 252π square units. Therefore, option D is the correct answer.

The surface area of a cylinder refers to the total area that the cylinder's curved surface and circular bases cover. The total surface area of the cylinder includes the area of the 2 bases of the cylinder (each of which is in the shape of a circle) and the area of the curved surface.

Given that, the radius of a cylinder is 6 units and the height of a cylinder is 15 units.

We know that, the total surface area of a cylinder is 2πr(r + h).

Now, the surface area = 2×π×6(6+15)

= 2×π×6×21

= 252π square units

Therefore, option D is the correct answer.

Learn more about the surface area of a cylinder here:

https://brainly.com/question/22074027.

#SPJ7

Answer:

end point ₂ of a segment  X₂ = - 22 ;  Y₂ = 29

Step-by-step explanation:

given;

midpoint = ( Mx = - 15 , My = 22 )

endpoint ₁  = ( X₁ = - 8 ,  Y₁ = 15 )

find the other endpoint ₂ ( X₂ , Y₂)

use the mid point formula to get the other endpoint:

Mx = ( X₁ + X₂ ) / 2              My = ( Y₁ + Y₂ ) / 2

- 15 = (-8 + X₂) / 2                 22 = (15 + Y₂) / 2

-30 = - 8 + X₂                         44 = 15 + Y₂

X₂ = -22                                    Y₂ = 29

Answer:

So, the formula for finding the midpoint of a segment given the coordinates of its endpoints is: ((x 1 + x2)/2, (y 1 + y 2 )/2 {Average of the x coordinates, average of the y coordinates}. For this problem we know the coordinates of the midpoint along with one of the endpoints.

Step-by-step explanation:

Use the midpoint formula

M = (  (x1 + x2) / 2  ,  (y1 + y2) / 2 )

(9, 0) = (  (x1 + 12) / 2  ,   (y1 + 3) / 2)

Break up this formula into two equations.

(x1 + 12) / 2 = 9   and (y1 + 3) / 2 = 0

 Solve for x1 and y1 from the equations.

==================================================

Work Shown:

x = amount of money collected before tax is added

3% = 3/100 = 0.03

3% of x = 0.03x = amount of tax

x + 0.03x = adding on tax to original amount

1.03x = amount after tax is added

1.03x = 2766.58

x = 2766.58/1.03

x = 2686 is the amount of money before the 3% sales tax is added

0.03x = 0.03*2686 = 80.58 is the amount of sales tax collected

As a check,

2686+80.58 = 2766.58

which confirms our answer

Answer:

Tax collected= $80.58

Step-by-step explanation:

Let's say that the amount he got from services was "x", and to that he had to add a 3% of sales tax.

Recall that 3% in math form is written as: 3/100 = 0.03

then, he had to include 0.03 times x to the "x" amount in hotel services:

x + 0.03 x = 2766.58

1.03 x = 27688.58

x = 27688.58/1.03

x= $2686

Then, the amount for the taxes is 3% of this which is:

0.03 * 2686 = $80.58

Answer:

(1,2) (3,2) ( 5,2)

Step-by-step explanation:

Each input value can only go to one output value

The only one that has each input only going to one output is (1,2) (3,2) ( 5,2)

Answer:

it is a function

Step-by-step explanation:

Answer:

Since there is one value of y for every value of x in ( − 4, 5 ), ( 1, − 1 ), ( 2, − 2), this relation is a function.

The relation is a function.

Hope this helps (●'◡'●)

Answer:

42-30=12

Step-by-step explanation:

add 30 and 12 because then you get the total that will let you subtract the 30 to get your answer of 12 which your equation is 42-30 equals 12

Answer:

This is not a function.

Step-by-step explanation:

Note, that set A contains 3 elements that only map to 2 elements in set B.  A function would require that each element of set A to match to only one element of set B.

Since set B contains an element with no mapping to an element in set A, this does not represent a function.

Answer:

C. 6 rooms

Step-by-step explanation:

I think you means he uses 3/4 gallon for 1 room.

This is a division problem. Divide the amount of paint he has by the amount he uses to paint one room.

(4 1/2)/(3/4) = (9/2)/(3/4) = 9/2 * 4/3 = 36/6 = 6

Answer: 6 rooms

Answer:

1. Francis drake birth place was in Tavistock, United Kingdom

2. we was famous by his talent of exploration and he was the guy who found British Empire and is one of the most renowned sea captains in the history of his nation.

If this helped please give me brainlest :)

Answer:

Francis Drake was born in the UK and he's a naval officer

Step-by-step explanation:

Drake is most famously known for his circumnavigation of the world in a single expedition, from 1577 to 1580, and was the first to complete the voyage as captain while leading the expedition throughout the entire circumnavigation. He discovered that Tierra del Fuego, the land south of the Magellan Strait, was not another continent as Europeans believed, but instead a group of islands. This meant that ships could sail between the Atlantic and Pacific oceans around the bottom of South America (later known as the Cape Horn route).

====================================================

Explanation:

See the diagram below. We're looking for the area of the shaded region in blue.

This is known as an inscribed circle since the circle is inside the square, touching each side at one point. This circle is as large as possible without spilling outside the square. Think of a balloon that has been inflated as much as possible to fill the room (it touches every wall at a tangent point).

The square has area s^2 = 6^2 = 6*6 = 36 square inches.

The circle has area pi*r^2 = pi*3^2 = 9pi square inches exactly. Note how I cut the diameter (6) in half to get the radius (3).

The blue shaded area is the difference of the square and circle areas, so we have 36 - 9pi as the exact area of the shaded region.

Using your calculator, you should find that 36-9pi = 7.72566611769187 approximately. I'm using my calculator's stored version of pi as opposed to something like pi = 3.14; but you may need to ask your teacher for clarification about what version of pi to use.

When rounding to the nearest tenth, we then get roughly 7.7 square inches as our final answer.

Answer:

The center is ( 5.3, -3.3) and 7 is the radius

Step-by-step explanation:

We can write the equation of a circle as

( x-h)^2 + ( y-k)^2 = r^2

Where ( h,k) is the center and r is the radius

(x - 5.3)^2 + (y + 3.3)^2=49

(x - 5.3)^2 + (y -  -3.3)^2=7^2

The center is ( 5.3, -3.3) and 7 is the radius

Answer:

I prefer leaving the answer as √5 since it is a shorter form and exact form of the answer.

Here are reasons for leaving it as a radical form or a decimal approximation.

If you are looking for an exact answer, then you should leave it as √5. For example, if you are told a square has area 5 square units, then the exact length of the side is √5 units.

If √5 is the length of something that has to be made to that length, then you need an approximation. For example, if you are asked to make a square out of cardboard whose area is 5 square feet, then you need an approximation of √5 ft, such as 2.24 ft, so you can make each side of the cardboard square in the length of 2.24 ft.

We shall prefer to keep √5 in radical form, as it is an irrational number and will never give an exact value when converted to decimal form.

A rational number is any number that can be represented in the form p/q, where p and q are integers, q ≠ 0, and p, q are co-prime to each other, that is, they do not have any common factor except 1.

All terminating and non-terminating recurring decimals are rational numbers.

An irrational number is a real number that cannot be represented in the above form of a rational number.

All non-terminating non-recurring decimals are irrational numbers.

We are asked, what would we prefer to do. Leave √5 in radical form or convert it into decimal form.

∵ √5 is an irrational number, we will never get a perfect value of it in decimal form, as irrational numbers are non-terminating non-recurring decimals. So, we shall prefer to keep √5 in the radical form.

Use of √5 in radical form: Gives the exact value in our calculations for equations.

Use of √5 = 2.236067977499........... in the decimal form: Used in trigonometry where we need to find the trigonometric ratio.

Learn more about rational and irrational numbers at

https://brainly.com/question/20400557

#SPJ2

Answer:

C, Yes; for any given number of hours,there is only one possible cost.

Step-by-step explanation:

Simple Function question, if there’s an X with the same number, it’s not a function. It wasn’t D since it’s justifying the range being the same number