A parabola can be drawn given a focus of (-11, -2) and a directrix of x= -3
Write the equation of the parabola in any form.

Answers

Answer 1

Check the picture below, so the parabola looks more or less like that.

now, the vertex is half-way between the focus point and the directrix, so that puts it where you see it in the picture, and the horizontal parabola is opening to the left-hand-side, meaning that the distance "P" is negative.

[tex]\textit{horizontal parabola vertex form with focus point distance} \\\\ 4p(x- h)=(y- k)^2 \qquad \begin{cases} \stackrel{vertex}{(h,k)}\qquad \stackrel{focus~point}{(h+p,k)}\qquad \stackrel{directrix}{x=h-p}\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix}\\\\ \stackrel{"p"~is~negative}{op ens~\supset}\qquad \stackrel{"p"~is~positive}{op ens~\subset} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\begin{cases} h=-7\\ k=-2\\ p=-4 \end{cases}\implies 4(-4)[x-(-7)]~~ = ~~[y-(-2)]^2 \\\\\\ -16(x+7)=(y+2)^2\implies x+7=-\cfrac{(y+2)^2}{16}\implies x=-\cfrac{1}{16}(y+2)^2-7[/tex]

A Parabola Can Be Drawn Given A Focus Of (-11, -2) And A Directrix Of X= -3Write The Equation Of The

Related Questions

Chelsea wrote several equations and determined that only one of the equations has exactly one solution. Which of these equations has exactly one solution?
4 (x + 3) = 7 x minus 6
4 (x + 3) + 8 = 4 x + 20
4 (x + 3) + 3 x + 7 x + 12
4 (x + 3) + 6 = 4 x + 9

Answers

Answer:

c

Step-by-step explanation:

I think

Answer:

It's A

Step-by-step explanation:

I got it right on edge

Ryan bought 2 pounds of almonds and 3 pounds of peanuts. He mixed them together and divided them into bags. He put 1/8 pound of mixed nuts into each bag. Write an equation to represent the number of bags, b, Ryan filled.​

Answers

Answer:

8(2A+3P)  40 bags

Step-by-step explanation:

(2A+3P)/ (1/8)          8(2A+3)

2 pounds of almonds (2A) + 3 pounds of peanuts(3P) = 5pounds of the mix

5/1 divided into 1/8 , that is  the same as 5/1 multiplied be 8/1

5/1 x 8/1 =40

3. Atile warehouse has Inventory at hand and can put in for a

der from a supplier of bundles of tiles.

Currently they have 38 tiles of a certain kind in stock, and can

as Inventory at hand and can put in for a back order from a su

bundle. The equation that represents this order is as follows;

in kind in stock, and can only order more in groups of 12 tiles per

The number of tiles = 12b+38, where b is the number of bundles ordered

(a) If a customer needs 150 tiles, how many bundles will need to be ordered?

answer. Why do we need to round our answer up in this problem?

undles will need to be ordered? Explain how you got your

Answers

Step-by-step explanation:

Given the equation that represents this order expressed as;

The number of tiles = 12b + 38 where;

b is the the number of bundles ordered

If a customer needs 150 tiles, the total number of bundles ordered can be gotten by simply substituting The number of tiles into the modeled equation and find the value of b. This is as shown below;

On substituting;

150 = 12b + 38

12b = 150 - 38

12b = 112

b = 112/12

b = 9.33

b ≈ 9 bundles

We need to round up the problem because the number of tiles can not be in fraction but as whole numbers.

The inequality compare between two parameters with a certain extent. The number of bundles to be ordered are 10.

Given that:

Number of tiles the customer needs is 150.

Number of tiles supplier already has is 38.

Tiles per bundle is 12.

And we don't want to supply less tiles to the customer, that is why we will order equal or more tile bundles that will satisfy the customer's needs.

Let b be the number of bundles.

Or symbolically, using inequality, we can say that:

[tex]12\times b \: + 38 \geq 150\\\\b \geq \dfrac{112}{12}\\\\b \geq 9.333...\\[/tex]

Since bundles ordered will be counted in positive integers, thus we have:

b = 10

Thus, the number of bundles to be ordered are 10.

For more information, you can refer this link below:

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Please show me how to do this! will mark brainliest

Answers

Answer:

just place them on the chart

Step-by-step explanation:

Trent is 25 years old and works for a company that matches his 401(k) contribution up to 5%. The interest rate for his 401(k) is 7. 3%. If he puts away 10% of his $32,000 salary every year, what would the total of his 401(k) be in 10 years? Round your answer to the nearest cent. A. $67,266. 16 b. $72,176. 59 c. $33,250. 60 d. $35,677. 89 Please select the best answer from the choices provided A B C D.

Answers

The best answer from the choices provided will be B. The total of his 401(k) be in 10 years will be $72,176. 59.

What is the interest rate?

The interest rate is a proportion of the principal that a lender charges a borrower. The annual percentage rate (APR) is the term used to describe the interest rate on a loan (APR).

Trent calculates the future value of the contribution using the Future Value formula with an increased contribution each year.

On doing the annual Contribution calculation we get;

The formula for calculating the future value of a yearly donation is as follows:

If F is the future value, P is the present value,n is the time period and I is the interest rate then;

Future value = Present value(1+ Interest rate)ⁿ

[tex]\rm F= P(1+I)^n \\\\ \rm F= 3200(1+7.3 \%)^{10} \\\\ \rm F= \$\ 34443.6[/tex]

Similarly, the formulas may be used to obtain a total contribution value of $72176.59.

Hence the best answer from the choices provided will be B. The total of his 401(k) be in 10 years will be $72,176. 59.

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Is the open sentence8−4x=4x true or false when x = 0?

Answers

Answer:

FLASE

Step-by-step explanation:

8 - 4(0) = 4(0)

8 - 0 = 0

8 ≠ 0

?????????????????????????????????????

Answers

Answer:

answer is mayonnaise duh

Enter the correct answers in the boxes.
27% of 140=

% of 500=90
32% of
=8

Answers

the answer is 5.185 percent

PLS HELP Find the area of the shaded region. PLEASE

Answers

Answer:   64 cm^2

Reason:

The parallelogram has area of A = base*height = 10*7 = 70 cm^2

The white rectangle has area of B = base*height = 3*2 = 6 cm^2

The shaded region has area of A - B = 70 - 6 = 64 cm^2

If you are curious why the rectangle and parallelogram use the same formula to get the area, notice how you can move that triangle on the left toward the right side so that a rectangle can be formed.

Find the area of ABC to the nearest tenth.
C=32°, a = 12.6 m, b = 8.9 m

A)118.9 m2

B)112.1 m2

C)59.4 m2

D)29.7 m2

Answers

Answer:

the answer is d) 29.7

Step-by-step explanation:

15) through: (5, -3), parallel to y=-x-4
A) r-2y=-2 B) 2x + y= 2
C) x + y = 2 D) x+y=-2

Answers

Step-by-step explanation:

C

parallel to y=-x-4 is C or D

(5,-3)=> C

Would appreciate the help :))

Answers

Answer:

blank one: -1 blank two: -15

Step-by-step explanation:

I'm not sure but I think its correct

Peter has 90 mild peppers and 36 hot peppers.
If Peter wants to put the peppers into baskets so that each basket has
the same number of mild peppers and the same number of hot pep-
pers, what is the greatest number of baskets he can make with how
many of each type of pepper?
Find the greatest common factor of 90 and 36.

Answers

The greatest common denominator for 90 and 36 is 18

What is the value of x in the equation −x = 6 − 4x + 18? (1 point) 24 8 −8 −24​

Answers

Answer: 8

Step-by-step explanation:

May anyone help me with this answer if possible?

Answers

Answer:

the answer should be 2,310 pounds

Lesson name: I write/solve systems of linear equations word problems
Problem: Tickets for the school play sell for $3 for a student and $5 for an adult. one night, 595 people bought tickets for a total sale of $1951. how many adults and how many student tickets were sold?
Let S=#of student tickets
Let A=#of adult tickets
Equation= 3s+5a=1951

Answers

Answer:

Long division calculator with decimals shows the work step by step. Solve long division with decimal numbers. Calculate the quotient showing long division ...

Step-by-step explanation:

Long division calculator with decimals shows the work step by step. Solve long division with decimal numbers. Calculate the quotient showing long division ...

What is the difference between a copay and coinsurance?

Answers

Answer:

A deductible is the amount you pay for a service before the plan shares the cost of the service with you. A copay is a set amount you pay for the service. Coinsurance is when you pay a percentage of the cost for an item or service.

Trevor has an investment worth $6,774. 50. He made his only deposit in it 22 years ago. Given that the investment yields 2. 7% simple interest annually, how big was the initial deposit? a. $2,524. 50 b. $4,024. 03 c. $4,250. 00 d. $11,404. 88 Please select the best answer from the choices provided A B C D.

Answers

[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$6774.50\\ P=\textit{original amount deposited}\\ r=rate\to 2.7\%\to \frac{2.7}{100}\dotfill &0.027\\ t=years\dotfill &22 \end{cases} \\\\\\ 6774.50=P[1+(0.027)(22)]\implies \cfrac{6774.50}{1+(0.027)(22)}=P\implies 4250=P[/tex]

Using your understanding of the cause and effect relationship between volume and temperature, explain what happens to the motion of the particles and the kinetic energy of the particles inside a basketball after it has been left out in the cold. Use a model to support your answer.

Answers

Answer:

See explanation

Step-by-step explanation:

Temperature is defined as a measure of the average kinetic energy of the molecules of a body. A very important deduction from the kinetic theory of gases is that temperature is proportional to the kinetic energy of gas molecules.

A basketball is filled with gas particles. The higher the temperature of the surrounding, the greater the kinetic energy of the gas particles inside the basketball and the faster their motion and vice versa.

Hence, if a basketball is left in the cold, the kinetic energy of the gas particles in it will decrease and the particles will move very slowly at low velocities.

4 (-3x+ 6)=4 (-3x) + 4 (6)

Answers

Answer:

I think its 0= 0

Step-by-step explanation:

PLEASE HELPPP!!! my teacher doesn’t teach right and im extremely confused

5. ALGEBRA Sandy Schabel owns 400 shares of Exxon
Mobil (XOM) stock. After the quarterly dividends are reinvested
under a dividend reinvestment program (DRIP), she owns
401.6 shares. XOM is selling at $86.40 a share. Find the annual
dividend per share and the annual yield for XOM.

Answers

$34,698.24 is the total amount of money if you sell the stocks, im sorry I don't think this is what you are looking for I barely understood the question.

>-<

coach P is deciding which job he would like to take. Job A will pay him time bonus of $10,000 plus $500 per day. Job B will pay him a one time bonus of $17,000 plus $300 per day. How many days would Coach P have to work for the two job offers to pay the same?

Answers

Answer:

35 days

500x35=17500

17500+10000=27500

300x35=10500

10500+17000=27500

What number is 5/9 of 10

Answers

Answer:

The answer is 5.5.

0.0556

5/9 ÷ 10 = 0.0556 in decimal form.

What are some of the factors to take into consideration when opening a savings account and what information do you
need to provide?

Answers

Answer:

The factors we might take into consideration when opening a savings account is how accessible are the banks, the types of services the bank provides, customer services, and what types of rates the bank provides.

Step-by-step explanation:

Some of the factors to take into consideration when opening a savings account are;

- Interest Rate

- Minimum Cash Balance

- Wide reach of bank

- Service Charge

Some of the factors to consider when opening a savings account are;

1) Interest Rate; Savings accounts usually pay the lowest interest rates when we compare to other investment means. This is because some pay interest rate of around 6% annually while others pay lesser. Thus, it is very important to choose the bank wisely.

2) Minimum Cash Balance; Some banks require a particular minimum balance to open a savings account. Thus, it will be wise to look for a bank that doesn't require too much initial minimum opening balance.

3) Wide reach of bank; Although many transactions can now be done online but yet there are times we have to go to the banks physically and so it will be good to go with a bank that has many branches.

4) Service Charges; Banks usually have some charges which are called service charge and they range from ATM card charges, SMS charges, transaction charges. Thus, it will be good to have an idea of these charges before opening an account.

The information required to be provided to open savings account are;

- Government issued Identification Card

- Social Security Number

- Date of birth

- Address

- Contact Information like phone number, email e.t.c

- Bank account information

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What is the slope from the table?!?!

Answers

Answer:

The slope is 2.

Step-by-step explanation:

Because the "x" is increasing by 2s, you take the difference between each "y" and divide by two. This gives you four dived by 2, which equals two.

For example, taking the difference between the first "y", 7, and the second "y", 11, is 4. Because the "x" is increasing by twos, you divide by two to get the difference between one "y" and the next. Therefore, the answer is 2.

Answer:

the slope of the line is 2

Step-by-step explanation:

To find the slope of a set of points you use the equation (y 2 - y 1) over (x 2 - x 1) For this equation I will do it twice, to prove that any two sets of points will work for it, so long as x 1 and y1 and x2 and y 2 are across from each other on your table.

    20, 45 will be my x 2 and y 2 points for the first equation, and 5, 15 will be my x 1 and y 1 points for the first equation. (plug in the points into the (y 2 - y 1) over (x 2 - x 1) equation). (45 - 15) over (20 - 5). 45 minus 15 equals 30, and 20 minus 5 equals 15. So now the equation is 30/15. But this is not our final slope. This can be simplified to  2/1, because 15 goes into 30 twice, so they can both be divided by 15. 2/1 is also not its final form, because 2 divided by 1 equals 2. This is the slope of your line.

    1, 7 will be my x 2 and y 2 points for the second equation, and 3, 11 will be my x 1 and y 1 points for the second equation. (once again plug in the points into the  (y 2 - y 1) over (x 2 - x 1) equation) We get: (7 - 11) over (1 - 3).  7 minus 11 is -4, and 1 - 3 is -2. Now we have -4/-2. If you divide -4 by -2, you get positive 2, since a negative divided by a negative becomes positive. Therefore, any 2 points work to find the slope of a group of points.

PLEASE HELP ASAPPPPP!!!!

Answers

Answer:

(3,-2)

Step-by-step explanation:

All the others are either negative, 0, or 1. The outlier is 3,-2 because no other coordinate has a positive 3 in the x position.

Hope this helps!!

Have an amazing day!!

PLEASE RATE AND MARK BRAINLIEST!!

A new bank customer with ​$3000 wants to open a money market account. The bank is offering a simple interest rate of ​1.2%.
a. How much interest will the customer earn in 30 ​years?
b. What will the account balance be after 30 ​years?

Answers

Answer:

Step-by-step explanation:

B)4,290.78 after 30 years.

B1)3000(1.012)^30=4290.78

A) 1,290.78

A1) 4,290.78-3000-1,290.78.

please rate and mark as brainlest.

My mom told me That it would be 24

Sumita is following this recipe to make flapjacks.
Sumita uses 20 g of sugar.
How many flapjacks is Sumita making?
Recipe: Makes 14 flapjacks
220 g margarine
140 g sugar
140 ml syrup
250 g oats
30 g sultanas

Answers

20flapjacks

Step-by-step explanation:

so this is the answer

Answer:

20 flapjacks

Step-by-step explanation:

its a math question!!! please help! Find the image points given the following triangle reflected across the line y = -1

D(-1,-1), E(1,3), F(3, -2)

Question options:

D'(-2,-2), E'(0,-6), F'(2,-1)


D'(2,-1), E'(21,3), F'(0,-2)


D'(1,1), E'(-1,-3), F'(-3,2)


D'(-1,-1), E'(1,-5), F'(3,0)

Answers

Answer:

Step-by-step explanation:

Point D lies on the line, so it is invariant.

Point E is a distance of 4 units away from the line y=-1, so E is now (1, -1-4)=(1, -5).

By the same logic, F' is now (3, 0).

The image points of triangle reflected across the line y = -1 is D'(-1,-1) ,E'(1,-5) , F'(3, 0) .

What is image point?

The given point P is "reflected" in the mirror and appears on the other side of the line an equal distance it. Drag the point P to see this. The reflection of the point P over the line is by convention named P' (pronounced "P prime") and is called the "image" of point P.

According to the question

Triangle points given

D(-1,-1), E(1,3), F(3, -2)

and reflected across the line y = -1

As, we have to reflect from  y = -1 , there will be no change in x axis in image points only y axis will be change .

D(-1,-1)

x axis = -1

y axis = -1

x' axis = -1

y' axis = distance from -1 to -1 = 0

therefore,

y' axis = -1

D'(-1,-1)

E(1,3)

x axis = 1

y axis = 3

x' axis = 1

y' axis = distance from 3 to -1 = |3 -(-1 ) |= 4 unit

therefore, 4 unit form -1 in negative

y' axis = - 5

E'(1,-5)

F(3, -2)

x axis = 3

y axis = -2

x' axis = 3

y' axis = distance from -2 to -1 = |-2 -(-1 )| = 1 unit

therefore, 1 unit form -1 in positive

y' axis = 0

F'(3, 0)

Hence, the image points of triangle reflected across the line y = -1 is D'(-1,-1) ,E'(1,-5) , F'(3, 0) .

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What is the volume of this oblique cone?

Answers

Answer:You need π (Pi = ~ 3.14) over 3, then multiply by the radius to the power of two and finally multiply by the height.

Step-by-step explanation:

YW!!! =^.^= please mark branlest!

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