An ellipse has a vertex at (0, −7), a co-vertex at (4, 0), and a center at the origin. Which is the equation of the ellipse in standard form?

An Ellipse Has A Vertex At (0, 7), A Co-vertex At (4, 0), And A Center At The Origin. Which Is The Equation
An Ellipse Has A Vertex At (0, 7), A Co-vertex At (4, 0), And A Center At The Origin. Which Is The Equation
An Ellipse Has A Vertex At (0, 7), A Co-vertex At (4, 0), And A Center At The Origin. Which Is The Equation
An Ellipse Has A Vertex At (0, 7), A Co-vertex At (4, 0), And A Center At The Origin. Which Is The Equation

Answers

Answer 1

Answer:

As Per Provided Information

An ellipse has a vertex at (0, −7), a co-vertex at (4, 0), and a center at the origin (0,0) .

We have been asked to find the equation of the ellipse in standard form .

As we know the standard equation of an ellipse with centre at the origin (0,0). Since its vertex is on y-axis

[tex] \underline\purple{\boxed{\bf \: \dfrac{ {y}^{2} }{ {a}^{2} } \: + \: \dfrac{ {x}^{2} }{ {b}^{2} } = \: 1}}[/tex]

where,

a = -7 b = 4

Substituting these values in the above equation and let's solve it

[tex] \qquad\sf \longrightarrow \: \dfrac{ {y}^{2} }{ {( - 7)}^{2} } \: + \dfrac{ {x}^{2} }{ {(4)}^{2} } = 1 \\ \\ \\ \qquad\sf \longrightarrow \: \dfrac{ {y}^{2} }{49} \: + \frac{ {x}^{2} }{16} = 1 \\ \\ \\ \qquad\sf \longrightarrow \: \: \dfrac{ {x}^{2} }{16} \: + \dfrac{ {y}^{2} }{49} = 1[/tex]

Therefore,

Required standard equation is /16 + /16 = 1

So, your answer is 2nd Picture.


Related Questions

Zahra is looking at a map of a park that has
a scale of 3 in. to 200 ft.
On the map, each side of the park is 6
inches long.
Zahra's distance to the park is 500 feet.
How long would this distance be on the
map?

Answers

Answer:

7.5 inches

peeeee

Choose true or false:
y = 9 is the solution of y + 9 = 0

Please help. this is a end- of- year school test.
I appreciate it! ^^

Answers

Answer:

False.

Step-by-step explanation:

y+9=0

y=-9

hope you have a good day/night! :)

Solve the following equation:

3 x one half

Answers

hello!

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

Let's simplify the expression:-

[tex]\bigstar{\boxed{\frac{3}{1} *\frac{1}{2}}[/tex]

Multiply 3 times 1 and 1 times 2:-

[tex]\bigstar{\boxed{\pmb{\frac{3}{2} }}[/tex]

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

note:-

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)

f(x)=3x^2-5x+3
f(-2)=
f(-1)=
f(0)=
f(1)=
f(2)=

Answers

Answer

answer is 19

Step-by-step explanation:

hope it's help

Hi can you show me how to do thistles and

Answers

Answer:

#6:

Step-by-step explanation:

#6

So these two angles are actually the same. Since the lines l and m are parallels and those angles are opposite from each other, they are the same.

This means you can solve for x by saying:

3x-63 = 2x+2

x = 65

#7

Since the l and m are parallels, and the angles are NOT opposite, when you add the two angles together, you should get 180 degrees

So:

(2x + 20) + (6x + 24) = 180

x = 17

-b+10b+2b+17=6 please help me

Answers

Answer:

-1

Step-by-step explanation:

-b+10b+2b+17=6

9b+2b+17=6

11b+17=6

11b=6-17

11b=-11

b=-1

solve x/3+y/4=2
2x/3+3y/4=5

Answers

Step-by-step explanation:

please mark me as brainlest

Answer:

Step-by-step explanation:

[tex]\dfrac{x}{3}+\dfrac{y}{4}=2\\\\\\\text{Multiply the whole equation by the LCM of 4 , 12 which is 12}\\\\ 12*\dfrac{x}{3}+12*\dfrac{y}{4}=12*2\\\\\\4x + 3y=24 \ -------------------(i)[/tex]

[tex]\dfrac{2x}{3}+\dfrac{3y}{4}=5\\\\\\\text{Multiply the whole equation by 12}\\\\12*\dfrac{2x}{3}+12*\dfrac{3y}{4}=5*12\\\\\\[/tex]

8x + 9y = 60 -------------------------(ii)

Multiply  equation (i) by (-2)

(i)*(-2)              -8x -6y = -48

(ii)                     8x +9y = 60   {Now add. x will be cancelled}

                                3y = 12    {Divide both sides by 3}

                                  y = 12/3

y = 4

Substitute y = 4 in equation (i)

4x + 3*4 = 24

4x + 12   = 24

         4x = 24 - 12

         4x = 12

           x = 12/4

x = 3

[tex]\boxed{x = 3 \ ; \ y = 4}[/tex]

Pls show work I can't understand

Answers

Answer:

I don't think that is possible because absolute value cant equal negative number, symbol would be ∅ if that is true

Step-by-step explanation:

i don't have one

Mary’s trapezoid-shaped garden has a perimeter of 24 yd. She knows the length of three of the sides, 3 yd, 6 yd, and 9 yd.

What is the length of the fourth side?
Choose...

Answers

Answer:

6

Step-by-step explanation:

to find the perimeter of a trapezoid you add all the sides together

therefore we do it backwards

24-3-6-9=6

Solution :-

We know that perimeter is the sum of all sides, and here we have been provided with perimeter and the length of three sides. Now, we can assume the length of other side as any variable, say x. And develop a linear equation, and solve it. Thus,

A/Q,

→ 3yd + 6yd + 9yd + x = 24yd

→ 18yd + x = 24yd

→ x = 24yd - 18yd

→ x = 6yd

Thus, the length of the fourth side is 6yd.

Hope that helps :)

100 PTS AND BRAINLIEST WRONG ANSWERS REPORTED

The function p(w)=230(1.1)^W represents the number of specialty items produced at the old factory w
weeks after a change in management. The graph represents the number of specialty items produced at the
new factory during the same time period.

(a) During Week 0, how many more specialty items were produced at the old factory than at the new
factory? Explain.
(b) Find and compare the growth rates in the weekly number of specialty items produced at each factory.
Show your work.

Answers

Answer:

40; 0.1 and 0.16

Step-by-step explanation:

a. We know that p(w)=230(1.1)^W represents the number of specialty items produced at the old factory.

This equation is in the form of an exponential growth function:

f(x)=a(1+r)^x

where a is the initial value, r is the growth rate, and x is the number of time intervals.

That means that for p(w)=230(1.1)^W:

230 is the initial value, and 0.1 is the growth rate. (1.1-1)

Therefore, for week 0, there were 230 specialty items produced at the old factory.

We can also plug in 0 for w (0 time intervals) to get the same answer

That would look like:

p(0)=230(1.1)^0

p(0)=230(1)

p(0)=230

On the other hand, for the new factory, if you go find 0 on the x-axis, you'll notice that 190 specialty items were produced in week 0.

230-190=40

This means that our answer for a is that 40 more specialty items were produced at the old factory than the new factory.

_____

b. Our first step for this question would be to find the equation for the graph.

We can immediately recognize that this is an exponential growth function, similar to the other equation.

As a reminder, exponential growth functions are in the form: f(x)=a(1+r)^x

We can put it in terms of production and weeks:

p(w)=a(1+r)^w

We know that the initial value is 190 by the graph.

p(w)=190(1+r)^w

Now we just need to find the growth rate:

We can do this by choosing a value (other than the first point) and plugging it in.  Let's use (1, 220) which is in the form (w, p)

Plug it in to the equation:

220=190(1+r)^1

220=190(1+r)

Distribute

220=190+190r

Subtract 190 from both sides

30=190r

Divide 190 from both sides

r=0.1578947368 (round how your teacher asks)

Next, all we have to do is find the growth rate for the old factory:

p(w)=230(1.1)^W

1.1=1+r

Therefore, r=0.1

The growth rate at the old factory is 0.1.

When comparing them, we'll realize that the growth rate at the new factory is about 0.06 higher.

#1

For old factory

p(w)=230(1.1)^w

So

week =0

[tex]\\ \rm\dashrightarrow p(0)=230(1.1)^0=230(1)=230[/tex]

For nEW factory

On graph y intercept is 190

Difference:-

230-190=40

40 items were more produced

#2

For old factory

Turn it to p(1+r)^t form where r is rate of change

[tex]\\ \rm\dashrightarrow 230(1+0.1)^t[/tex]

Growth rate is 0.1

For new factory

(0,190)(1,220)

Find slope:-

[tex]\\ \rm\dashrightarrow m=\dfrac{220-190}{1}=30[/tex]

Find growth rate

m/b(b is y intercept)30/1903/190.16

New factory has greater growth rate

Which table models the graph shown below? HELP PLS

Answers

Answer:

A?

Step-by-step explanation:

I honestly am guessing here but i think its A take my answer with a grain of salt

Could someone help me with this

What is -x<-29?​

Answers

Answer:

its positive 29 since you dividin a negative 1 and a negative divided by a negative is a positive

Step-by-step explanation:

Answer:

Assuming you're hoping to solve the inequality for x, x > 29

Step-by-step explanation:

When dividing both sides of an inequality by -1, the sign will be reversed. In this case, the sign will change from a less than to a greater than, meaning -x < -29 => x > 29.

Find the volume of the given prism.

Ans:60cm^3​

Answers

Answer:

60 cm³

volume of triangular prism : area of base * Length

Given:

side of triangle : 4 cmside of triangle : 3 cmangle between 4 cm and 3 cm : 90°Length : 10 cm

Find area of base:

[tex]\rightarrow \sf \dfrac{1}{2} * side \ 1 \ * side \ 2 \ * \ sin (\theta)[/tex]

[tex]\rightarrow \sf \dfrac{1}{2} *\ 4 \ * \ 3 \ * \ sin (90)[/tex]

[tex]\rightarrow \sf 6 \ cm^2[/tex]

Volume :

A * L6 * 1060 cm³

Answer:

60 cm³

Step-by-step explanation:

To calculate the volume of the prism, we need to find the area of the triangle and multiply it by the height of the prism.

⇒ Volume of prism = Area of triangle × Height of prism

Find the area of the triangle

⇒ Volume of prism = (Area of triangle) × Height

⇒ Volume of prism = (1/2 × Base × Altitude) × Height of prism

⇒ Volume of prism = (1/2 × 3 × 4) × Height of prism

⇒ Volume of prism = (3 × 2) × Height of prism

⇒ Volume of prism = 6 × Height of prism

Substitute the height in the volume

⇒ Volume of prism = 6 × Height of prism

⇒ Volume of prism = 6 × 10

Solve for the volume.

⇒ Volume of prism = 6 × 10

Volume of prism = 60 cm³

Find x Mean = 12 {18, 15, 18, 3, 3, 19, 12, x}

Answers

Answer:

x = 8

Step-by-step explanation:

The mean is the average of the population.

Multiplying the mean by 8 terms will get you the total sum.

12 * 8 = 96

Subtracting all the values from the total sum should get you x.

96 - 18 - 15 - 18 - 3 - 3 - 19 - 12 = 8

Huntington Medical Center purchased a used low-field MRI scanner 2 years ago for $445,000. Its operating cost is $350,000 per year and it can be sold for $150,000 anytime in the next 3 years. The Center’s director is considering replacing the presently owned MRI scanner with a state-of-the-art 3 Tesla machine that will cost $2 million.The operating cost of the new machine will be $280,000 per year, but it will generate extra revenue that is expected to amount to $550,000 per year. The new unit can probably be sold for $875,000 3 years from now. You have been asked to determine how much the presently owned scanner would have to be worth on the open market for the AW values of the two machines to be the same over a 3-year planning period. The Center’s MARR is 10% per year.

Answers

The worth of the old scanner machine in the open market will be $86601.60.

How to calculate the worth on open market?

To calculate the worth of the scanner on the open market, it's important to compare the values of the machines.

The calculation of the worth of the scanner goes thus:

Let the worth be represented by x.

x(A/P,10%, 3) - 350000 + 150000(A/F, 10%, 3) = 2000000(A/P, 10%, 3) + 270000 + 875000(A/F, 10%, 3)

= 0.4021x - 350000 + 45315 = -804200 + 270000 + 264337.50

0.4021x = 34822.50

Divide by 0.4021

x = 34822.60/0.4021

x = 86601.60

Therefore, the worth is $86601.60.

Learn more about open market on:

https://brainly.com/question/1426204

-2x > 12
A. X>-6
B.x>14
C. X<14
D. X<-6

Answers

Answer:

D. x< -6

Step-by-step explanation:

Divide both sides by −2. Since −2 is negative, the inequality direction is changed.

x < 12/-2

Divide 12 by −2 to get −6.

x < -6

A train leaves Philadelphia at 2:00 PM. A second train leaves the same city in the same direction at 4:00 PM. The second train travels
52 mph faster than the first. If the second train overtakes the first at 6:00 PM, what is the speed of each of the two trains?

Answers

Answer: First train speed shall be 42 mi/hr

Second train speed shall be 84 mi/hr

Yes it is the valid answer, it gets annoying when almost everyone enters the wrong answer for a good laugh. Either way, hope this helps! Have a spectacular day.

Step-by-step explanation:

What is the 1st train's head start in miles?

Let +s+ = the speed of the 1st train in mi/hr

From 2PM to 4PM is 2 hrs

+d%5B1%5D+=+s%2A2+

---------------------

Let +d+ = distance the 2nd train travels until

it overtakes the 1st train

From 4PM to 6PM is 2 hrs

Start time when the 2nd train leaves

---------------------

Equation for 1st train:

(1) +d+-+2s+=+s%2A2+

Equation for 2nd train:

(2) +d+=+%28+s%2B42+%29%2A2+

--------------------

Substitute (2) into (1)

(1) +%28+s%2B42+%29%2A2+-+2s+=+s%2A2+

(1) +2s+%2B+84+-+2s+=+2s+

(1) +2s+=+84+

(1) +s+=+42+

and

+s%2B+42+=+42+%2B+42+

+s+%2B+42+=+84+

------------------

The 1st train's speed is 42 mi/hr

The 2nd train's speed is 84 mi/hr

---------------------------

check:

(2) +d+=+%28+s%2B42+%29%2A2+

(2) +d+=84%2A2+

(2) +d+=+168+

and

(1) +d+-+2s+=+s%2A2+

(1) +d+-+2%2A42+=+42%2A2+

(1) +d+=+84+%2B+84+

(1) +d+=+168+

Which number is a multiple of 2?
A) 14
B) 21
C) 7
D) 19

Answers

Answer:

The answer is A

Step-by-step explanation:

Since the number that you are finding the multiple of is 2, it has to be an even number. Another way is if 2 by another whole number equals the answer choice then you got your answer.

i need help with this problem

Answers

Step-by-step explanation:

Pythagoras theorem

16²=7²+a²

a²=16²-7²

a²= 256 -49

a²=207

a=√207

a=14.38

a≈14.4 in. (approx)

Answer:

Step-by-step explanation:

As it is a right angle triangle, we can use Pythagorean theorem to find a

base² + altitude² = hypotenuse²

7² + a² = 16²

49 + a² = 256

       a² = 256 - 49

       a² = 207

     a = √207

a = 14.4 in

There is exactly 1 pair of parallel sides. 6 3 9

Answers

Answer:

Step-by-step explanation:

The given properties of one pair of parallel sides in the four sided

quadrilateral, indicates that the shape is a trapezium.

Response:

The area of the shape is 35 square unit

Parallel sides=6 and 9Height=3

Area of trapezoid

1/2(Sum of parallel sides)(Height)1/2(6+9)(3)1/2(15(3))12(45)22.5units^2

Find the degree of the polynomial.
– 3x^6 +2x^3 +x^7 +5


Help pls

Answers

Answer:

The degree of the polynomial [tex]-3x^{6}+2x^{3} +x^{7} +5[/tex] is 7

Step-by-step explanation:

The degree of a polynomial is the largest power a variable is taken to in an expression. Since the largest exponent in this polynomial is 7, that is the degree of the polynomial.

Answer:

7

Step-by-step explanation:

The degree of a polynomial is the highest exponent in a polynomial.

Standard Form

To find the degree, it is easiest to first write the polynomial in standard form. Standard form is when the terms' exponents are written from greatest to least.

This means that the standard form is [tex]x^7-3x^6+2x^3+5[/tex]

Degree

From the standard form, it is obvious that the degree is 7. Any time the polynomial is written in standard form, the first term's exponent will be the degree of the whole polynomial.

What is the radius r of a circle with the circumference C of length 48.6 m

Answers

Answer:

r = 24.3/π  m

r = 7.73 m

Step-by-step explanation:

C = 2πr

48.6 m = 2 × π × r

r = 48.6/(2π)  m

r = 24.3/π  m

r = 7.73 m

If George went camping 15 times, how could you figure out how many times Dave went camping?

Answers

Answer:

no you couldnt

Step-by-step explanation:

can some help me figure this out

Answers

Answer:

e

Step-by-step explanation:

e

5
volume of the solid figure.
7 yd 3 yd
4 yd
1 yd
12 yd
9 yd
4 yd
8 yd
lume is

Answers

Answer:

Hope the picture will help you.Make sure to mark me brilliant

Which graph represents an exponential function?

Answers

Answer:The function that represents an exponential function is the 4th graph and it can be modeled as y = aeᵇˣ.

What are exponential functions?

The exponential functions are written in the form of y = aeᵇˣ, where the output y increases exponentially for the input x.

In order to find the graph that represents an exponential function, we will discuss each of the following graphs,

For the 1st graph, (Black),

In the first graph, the graph is of a parabola, and the function which represents this kind of graph is a quadratic equation, therefore, this graph represents a parabolic equation. It is given by the function,

y=ax²+bx+c or y=a(x-h)²+k

For the 2nd graph, (Red),

In the second graph, the graph represented is the graph of a reciprocal function, the function that can be represented by the graph,

y=a/x + b

For the 3rd graph, (Blue),

In the third graph, the graph represented is the graph of root function, it can be modeled as,

y = a+√(x+b)

For the 4th graph, (Green),

In the fourth graph, the graph represented is the graph of an exponential function, and it can be modeled as,

y = aeᵇˣ

Hence, the function that represents an exponential function is the 4th graph and it can be modeled as y = aeᵇˣ.

Step-by-step explanation:

Is the following statement true or false? If the statement is false, explain.
Most of the funding for research comes from the government.
(1 point)

Answers

Answer:

The stament is false. Although the government deos fund research, most of the funding for research is from corporations

Step-by-step explanation:

I am sorry if it's wrong but I think that's the correct answer but read this first

Most research funding comes from two major sources, corporations (through research and development departments) and government (primarily carried out through universities and specialized government agencies; often known as research councils).

State and Local Taxes

1. Higher-income individuals are more likely to afford their standard of living and can afford to pay more in taxes.

2. Yes, 32 of the 41 states that tax wages use a graduated scale for the individual income tax.

3. sales tax, meals tax, hotels tax, excise tax, and tolls

4. federal payroll tax

5. A levy paid to a local government by a landowner, a homeowner, or a business that owns real estate.

100% if you put these answers.

Your backyard is 60 feet long and 50 feet wide. You install a circular pool with a 10-foot radius. What is the area of the backyard, in square feet, that can be planted with grass? Round your answer to the nearest whole number (Area of a rectangle = base x height) (Area of a circle = 3.14 x (radius) ^2)

Answers

Answer:

2686

Step-by-step explanation:

First let's find the area of the garden.

[tex]60 \times 50 = 3000ft {}^{2} [/tex]

Now let's find the area of the pool.

[tex]3.14 \times 10 {}^{2} [/tex]

[tex]3.14 \times 100 = 314ft {}^{2} [/tex]

Lastly subtract both products.

[tex]3000 - 314 = 2686[/tex]

A city has a population of 380,000 people. Suppose that each year the population grows by 6.5%. What will the population be after 10 years?
Round your answer to the nearest whole number.

Answers

The growth formula is:

y = a•(1+x)^(t/p)

y is the end result

a is the initial amount

x is the percent growth as a decimal

t is the total amount of time

p is how often the growth occurred

Note that t and p both need to be the same units, whether that be seconds or days or months or years etc.

So,

y = 380000 • (1.065)^(10/1)

y = 380000 • 1.87713746527

y = 713312.236802

y = 713312

A case of glue weighs 24 pounds. A pallet loader can lift 3 tons. How many cases can a pallet loader lift?

Answers

Answer:

250 cases

Step-by-step explanation:

3 tons is 6000 pounds

you divide 6000 by 24 and get 250

that is your answer

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