Write the equation of a parabola whose directrix is

y

=



1.5

y

=

-

1.5

and has a focus at

(



4

,



2.5

)

(

-

4

,

-

2.5

)

.

Write The Equation Of A Parabola Whose Directrix Is Y=1.5y=-1.5 And Has A Focus At (4,2.5)(-4,-2.5) .

Answers

Answer 1

Answer:

y=0.5x²-4x-10.

Step-by-step explanation:

1) according to the definition of parabola:

d1=d2, then

[tex]2) \ |y+1.5|=\sqrt{(x+4)^2+(y+2.5)^2} ;[/tex]

3) after evolution:

-(2y+4)=(x+4)²; ⇔

[tex]y=-\frac{1}{2}x^2-4x-10.[/tex]


Related Questions

I need help this is a assignment question.

The length of a rectangular placemat
is 2/3 foot. If the area of the placemat
is 1/2 square foot, what is the width of
the placemat?

A. 1/3 foot
B. 1/4 foot
C. 3/4 foot
D. 4/3 foot

Answers

Answer:

c because its c its c and nothing but c

Eight hundred fifty two thousand, six hundred seventy four and thirty five hundredths in numbers​

Answers

Answer:

Number = 857674.35

Step-by-step explanation:

Translating the word problem into a numerical format;

Eight hundred and fifty two thousand = 852,000

Six hundred and seventy four = 674

Thirty five hundredths = 35/100 = 0.35

Now, we would add all of the values together.

Number = 852,000 + 674 + 0.35

Number = 857674.35

True and false
Urgent!!! Please help man!

Answers

Answer:

True

Step-by-step explanation:

Because I did this.

True because I did this

SOMEONE HELP ME WITH THIS PROBLEM

Answers

Answer:

a)15=3+12=x

b)15=3x5=x

Step-by-step explanation:

hope this helps and if this is correct you can give brainliest if you want and if I am not correct tell me in the comments and I will fix it

Answer:

Read Explanation

Step-by-step explanation:

Hello I think I can help.

Lets go over A then work on B to see if me walking through it can help you understand better.

Lets use some real world stuff. Say that the big long rectangle with the 3 and the x in it is a big truck, driving down the road.

Now inside that truck we have a 3 and a X as it shows in the picture. And then on the outside of the truck it shows what we have total inside the truck which is 15.

Now 3 + x may not sound equal to 15 but its math and if you see the = sign between two things they are equal no matter how weird it may seems.

So inside the truck, the 3 + x is equal to the outside of the truck saying that inside it is 15.

Lets move onto the B and do the same thing using the truck.

Now inside the truck it is saying 3 multiplied by x this time. On the outside it is saying there is a total of 15 just like before.

It looks to me you don't even have to solve it as the model seems to already be solved. But lets explain it.

Just like the problem says, (15 = 3 times x) you can see the 3 times x in the truck by the 3 separate x's inside the truck. And on the outside you can see the 15, which is the total amount inside the truck. And we know this is true because in the equation it says 15 = 3 times x.

I am not sure if you have to solve these but we can go over that real quick as well since it is very simple.

To find what x is in these equations all you want to do is take the outside of the truck (which is 15) and divide it by the number we know (3), not the variable (which is x).

So if we do this :

(The outside of the truck or the one number on its own)

15

(Divide it by the other number we know of inside the truck, not the letter/variable)

3

And we get :

15/3 = 5

x = 5

And that is our answer and you can do the same thing to part A.

You can also check to see if you're right by doing the same thing but backwards.

This means we use multiplication and go right to left (5 and 3) instead of left to right like we did last time (15 and 3).

If we multiply the 5 and the 3 we get 15 which is the other number in the equation and proves we are correct!

I do hope this helps.

If you have any questions or concerns feel free to message me or comment! :)

Alice has 60 marbles. Forty five are red and the rest are black. what is the ratio of the number of black marbles to the number is f red marbles? ​

Answers

15: 45 or 15 to 45 :)

Answer:

15:45 (or 15 to 45)

Step-by-step explanation:

Solve and check the equation.
x/9=x/10-4

Answers

start by getting like terms to one side.
x/9 - x/10 = -4
now make the fractions have a common denominator so that you can subtract
10x/90 - 9x/90 = -4
now simplify
x/90 = -4
now multiply each side by 90 to get rid of the fraction
x = -360
to check, just plug in the value of x into your original equation
it should come out to
-40 = -40

Answer:

x = -360

Step-by-step explanation:

x/9 = x/10 - 4

=> x/9 - x/10 = -4

=> x/10 - x/9 = 4

=> 9x/90 - 10x/90 = 4

=> -x/90 = 4

=> -x = 90(4)

=> x = -360

Question 22 Noella wraps cube-shaped boxes at her gift shop. The cost of wrapping a box depends on its side length. A box with a side length, x, of at least 5 inches will cost 0.05⋅6⋅x2 dollars to wrap. A box with a side length, y, of less than 5 inches will cost 0.04⋅6⋅y2 dollars to wrap. Which of the following correctly represents the total cost to wrap each set of cube-shaped boxes? Select ALL that apply.

Answers

Answer:

D B E

Step-by-step explanation:

There once was a fantastic football player named Leyton Channing. People often criticized him for not being
tough. They said when he played in harsh conditions like snow or frigid temperatures, he couldn't win.
After analyzing data, however, statisticians determined that there was no association between Leyton winning
and Leyton playing in harsh conditions. The frequency table below shows data for the games that Leyton played.
Fill in the missing values from the frequency table.

Answers

Answer:

Find the missing values by using the formula:

= Row total * Column total/Grand total

                                                Win                         Loss                      Row total

Normal Conditions                 154                         66                          220

Harsh Conditions                    14                             6                            20

Column Total                          168                            72                         240

Win - Normal conditions:                                       Loss - Normal conditions

= 220 * 168/240                                                      = 220 * 72/240

= 154                                                                        = 66

Win  - Harsh conditions                                          Loss - Harsh conditions

= 20 * 168 / 240                                                       = 20 * 72/240

= 14                                                                           = 6

find x and round to the nearest tenth:)

Answers

Answer:

x = 31.8°

Step-by-step explanation:

Applying the Law of Sines, we have:

[tex] \frac{sin(x)}{12} = \frac{sin(75)}{22} [/tex]

Multiply both sides by 12

[tex] \frac{sin(x)}{12} \times 12 = \frac{sin(75)}{22} \times 12 [/tex]

[tex] sin(x) = \frac{sin(75) \times 12}{22} [/tex]

[tex] sin(x) = 0.5269 [/tex]

[tex] x = sin^{-1}(0.5269) [/tex]

x = 31.8° (nearest tenth)

There is a line who slope is 3 and who’s Y intercept is -10. Right it’s equation in slope intercept form

Answers

Step-by-step explanation:

substitute the given value in the standard form equation. it will give you the slope intercept form

23.450÷345
[tex]23.450 \div 345[/tex]

Answers

Answer:

0.0679710145

I hope this will help you

Solve log x = 4!!! Please

Answers

I think the answer is .602050
X would be 10 to the power of 4

Asap need help plz can figure out these 3

Answers

Answer:

10) 3-2i

Step-by-step explanation:

to find the conjugate, you just need to change one of the signs in the expression

(-5x+4) + -1 (x - 1)​

Answers

Here is my answer. Hope it helps!

Answer:

-6x+5

Step-by-step explanation:

I assume you want to simplify this expression.

First take away the parenthesis.

-5x+4+-1x+1

Now combine like terms.

-5x+-1x=-5x-1x=-6x.

4+1=5

So -6x+5 is your answer.

1. Find the total surface area of the net below


Answers

Answer:

dfdg

Step-by-step explanation:

fd

Evaluate the expression.
1/7 divided by 2/5 - 1/7

Answers

Answer:

3/14

Step-by-step explanation:

In order to divide fractions, you'll have to find the recriprocal of 2/5. That is 5/2. So do 1/7 x 5/2 = 5/14.

So now find 5/14 - 1/7.

1/7 converted to a denominator of 14 is 2/14.

So we have 5/14-2/14 = 3/14. That is your answer.

The first thing that we should do is turn this into a mathematical formula.

[tex]\frac{1}{7} / (\frac{2}{5} -\frac{1}{7} ) = \frac{1}{7} /(\frac{9}{35} )[/tex] .

This is more generally written as

[tex]7(\frac{9}{35}) = \frac{9}{5}[/tex]

So, our answer is 9/5 or 1.8

at a garage sale a large bin full of DVDs and CDs are being sold.all the DVDs and all the CDs are the same price. Aaliyah bought two DVDs for six dollars and the four CDs for eight dollars. Her friend lynn wants to buy four DVDs and two CDs. How much will Lynn have to pay Aaliyah‘s brother Pierre wants to spend $20 on DVDs and CDs what combination of DVDs and CDs could he buy

Answers

Answer:

Step-by-step explanation:

$6/(2 DVDs) = $3/DVD, and $8/(4 CDs) = $2/CD

a DVD costs $3

a CD costs $2

Lynn bought 4 DVDs and 2 CDs for 4×$3 + 2×$2 = $16.

Pierre bought d DVDs and c CDs for $20.

d is 0, 2, 4, or 6

c = (20-3d)/2

(d,c) = (0,10), (2,7), (4,4), or (6,1)

Michael is watching a movie that is 2 1/3 hours long. If he has already watched 1 2/9 hours of the movie, how much of the movie is left?

__ __/__

Answers

About an hour and 7 minutes is remaining

A dealer sells an air conditioner for ruppees 23000 and earns 15% on it . Find its cost price.​

Answers

Answer:

20000

Step-by-step explanation:

115%-> 23000

100%->20000

please solve this 2 step equation, thank you!

p - 9 / 3 = 2

Answers

Answer:

the answers is =5

LIBBY NEEDS TO MAKE 1/2 OF HER CHILLI RECIPE FOR THE SCHOOLS CHILI CONTEST.IF LIBBY USUALLY NEEDS 2 CUPS OF CORN FOR HER CHILI RECIPE,HOW MUCH CORN WILL SHE NEED FOR THE CHILI CONTEST?
A. 1 CUP
B. 1/4 CUP
C. 4 CUPS
D. 2/4 CUP

Answers

Answer:

a

Step-by-step explanation:

because she only need a half of it

Answer:1/4

Step-by-step explanation:

evaluate lim x=π/4(3x - tanx)​

Answers

Answer:

 [tex]\lim_{x \to\frac{\pi }{4} } (3x-tanx)[/tex] =  [tex]3(\frac{\pi }{4} )[/tex]

Step-by-step explanation:

Explanation:-

Given that

         [tex]\lim_{x \to\frac{\pi }{4} } (3x-tanx)[/tex]

  =  [tex]\lim_{x \to\frac{\pi }{4} } (3x) - \lim_{x \to\frac{\pi }{4} } tanx)[/tex]

 = [tex]3(\frac{\pi }{4} )+tan(\frac{\pi }{4} )[/tex]

=  [tex]3(\frac{\pi }{4} )+ 1 )[/tex]

=  [tex]3(\frac{\pi }{4} )[/tex]

can u pls help me i am really stuck this is a geo problem pls get to me as soon as possible thanks.
Question: find the value of x.

Answers

Answer:

Please refer to the attachment

A carpenter is building a bookcase of height h, length 2h, and width w. The bookcase has two shelves. The plywood to be used for the back costs $1.50 per square foot. The top, bottom , sides, and shelves will be made of pine costing $5 per square foot. Write an equation expressing the total cost of the materials.

Enter your answer in the form: C = ahb + chw, where a, b, c are integers.

Answers

Answer:

3h² + 35hw ;

a = 3 ; b = 2 ; c = 35

Step-by-step explanation:

Given that :

Dimension of bookcase :

Height = h ; Length = 2h ; width = w

Area of backside :

Height * length

h * 2h = 2h²

Cos of back material = $1.5 per ft²

Cost = 1.5 * 2h²

Cost = 3h²

Top and bottom :

Length * width

2h * w

Side area = 3 * h * w

Total area : Top + bottom +. Side

Total area : 2hw + 2hw + 3hw = 7hw

Pine = $5 per sq foot

Total cost = $5 * 7hw

= $35hw

Entire cost, C

3h² + 35hw

From the format :

ah^b + chw,

a = 3 ; b = 2 ; c = 35

how much principal must be deposited to earn $1000 simple interest in 2 years at a rate of 5%

Answers

Answer:

1100                                                                 brainliest please

Step-by-step explanation:

1000×2×0.05=100

1000+100=110

This year, the cost of an amusement park pass is twenty percent more than last year. This year's cost is described by an expression where p is last year's cost.
p + 0.20p


Which of these expressions is another way to describe this year's cost? whats the answer

Answers

Answer:

Step-by-step explanation:

Your answer

You have already write down a expression which is p + 0.2p

So another expression can be : 1.2p

Mark it as Brainlist answer. Follow me.

Answer:

1.20p

Step-by-step explanation:

I did it, and I got it right on my test.

Hope this helps :)

A fishing store gives customers 10 new lures for every 2 fishing poles they buy. How
many lures would the store give to a customer who bought 8 fishing poles?

Answers

Answer:

40 lures

Step-by-step explanation

First, 10 for every 2  means multiplication. 2 goes into 8   4 times. 4x2=8

10 lures multiplied by 4 is 40.

I hope this helps! ツ

What’s the answer please help !!!!

Answers

I think the answer is x>-3
The answer is x > -3

Fill in the ​measures​ of the following angles and side lengths. All answers will be ​numbers​.

Answers

Answer:

Step-by-step explanation:

BED=52

BAC=43

B=180-43-52=85

DE/8=15/12, DE=10

BC/15=9/10, BC=13.5

(9+EC)/15=9/10, 9+EC=13.5, EC=4.5

BD/10=12/15, BD=8

pls help will give brainlest
Clara is running a bakery. She has made a street sign to direct people to her bakery. She painted one side of the post and sign. What is the painted area? 8 in 5 in 60 in 4 in O A. 324 square inches B. 344 square inches O C. 276 square inches O D. 240 square inches​

Answers

Answer:

A. 324

Step-by-step explanation:

60 x 4 = 240

8 x 8 = 64

1/2 x (5 x 8)= 20

Add them then you get 324

Other Questions
What do 5a represent in f(x)=5ax? Excerpt taken from The Historic Rise of Old Hickory by Suzanne B. WilliamsFour major candidates ran in the 1824 election, all under the "Democratic-Republican" name. One of the candidates, Andrew Jackson, was already famous. In the 1780s, he earned the right to practice law and served in various offices of the state government, including senator. He earned the nickname "Old Hickory" for his toughness as a general during the War of 1812 and First Seminole War. Jackson supported slavery and "Indian removal." This earned him support from voters in southern and frontier states. The other three candidates were John Quincy Adams of Massachusetts, Henry Clay of Kentucky, and William Crawford of Georgia.U.S. presidents are elected through the Electoral College. The Founding Fathers worried that Americans were too spread out to learn enough about the candidates. Under the Electoral College, Americans cast their ballot for the popular vote, which chooses the electors for each state. The number of electoral votes each state equals the number of representatives and senators combined. The candidates must win an absolute majority of electoral votes to win the election.In 1824, Andrew Jackson won the popular vote, but he did not win it in each state. Jackson and Adams both won many electoral votes. Jackson won the most with 99. However, a candidate needs an absolute majority of electoral votes to win. In 1824, Jackson needed 131 to win. When there is not majority winner, the election goes to the House of Representatives. This has only happened twice in U.S. history.Even though he won the popular vote and many electoral votes, Andrew Jackson lost the presidency in 1824. John Quincy Adams was the Secretary of State at this time. Henry Clay was the Speaker of the House of Representatives. Henry Clay, receiving the least, was left out. However, as a leader in the House of Representatives, he had influence over the other members. Clay openly hated Jackson and there were rumors that Clay made a deal with Adams in exchange for his support. The House election declared John Quincy Adams president. Soon, he chose Henry Clay to fill the seat he left vacant, Secretary of State. Jackson was shocked and enraged. Although there was no inquiry of possible wrongdoing, Jackson accused Adams and Clay of making a "corrupt bargain."John Quincy Adams was a disappointment as president. Many of his goals created divisions like federal funds for internal improvement. Some states thought that taking federal funds would force them to follow certain rules. They felt this reduced their rights as independent states. Jackson took advantage of issues like this one to gather more support. More Jackson supporters found their way to seats in Congress. He was as a man of the people and said Adams could never understand the common mans concerns.John Quincy Adams ran against Andrew Jackson in the 1828 election. Personal attacks grew even more vicious, but Andrew Jackson appealed to many. He believed government was for the common man. He believed in strict reading of the law and limited internal improvements. He also believed in states rights.Andrew Jackson easily won the 1828 election, winning both the popular vote and a majority of electoral votes. Historians note the sectional nature of the voting. Support for Jackson was concentrated in South while Adams support was mostly in the North. Jackson was so popular because he brought changes to the government. He also wanted to make sure the government was responsible for its actions. Jackson pushed settlement into the frontier. He supported the Indian Removal act. He also defended the spread of slavery. Though his support was heavier in the South, he was determined to keep a unified nation. The rise and presidency of Old Hickory is memorable to Americans today.Which statement makes a true comparison of the 1824 and 1828 elections?A) The losers in 1824 were the main candidates for president in 1828.B) Sectional divisions were appearing in 1824 and very clear in 1828.C) Candidates were more divided on the issues in 1828 than in 1824.D) More people voted in the election of 1824 than they did in 1828. Consider the following output generated by the show interface fa0/0 command generated on a router:FastEthernet0/0 is up, line protocol is up[...]Auto-duplex, 100Mb/s, 100BaseTX/FX[...]Input queue: 0/75/1771/0 (size/max/drops/flushes); Total output drops: 0[...]5 minute input rate 0 bits/sec, 0 packet/sec5 minute output rate 0 bits/sec, 0 packet/sec15387 packets input, 1736263 bytes, 0 no bufferReceived 15241 broadcasts, 0 runts, 0 giants0 input errors, 1 CRC, 0 frame, 0 overrun, 0 ignored, 0 abort0 watchdog, 0 multicast0 input packets with dribble condition detected607 packets output, 6141 bytes, 0 underruns4 output errors, 10 collisions, 3 interface resets, 0 restarts0 babbles, 0 late collision, 0 deferred0 lost carrier, 0 no carrier0 output buffer failures, 0 output buffers swapped outWhich of the following statements are true about the fa0/0 interface? (Select three.)- No input or output errors have occurred.- The interface is running in half-duplex mode.- Several collisions have occurred.- One cyclic redundancy check error has occurred.- The interface is dropping incoming packets.- There have been no interface resets.- Several collisions have occurred.- One cyclic redundancy check error has occurred.- The interface is dropping incoming packets. Draw a price setting and demand curve for a situation where the buyer sets the price. Explain what it shows.Draw a price ceiling and explain what it does. Be sure to include its effects on price and quantity.List at least 5 reasons why an industry or company would want to vertically integrate. True/False: an affirmative defense is one in which the defendant denies committing the crime or claims that the prosecution lacks sufficient evidence of the defendants guilt. when an ion accelerated through a potential difference of -1880 v, its electric potential energy increases by 6.02 * x10-16 j. what is the charge on the ion? even after the appearance of the three apparitions in act iv, scene i, macbeth wants to know what? Andy is a single father who wants to purchase a home. His adjusted gross income for the year is a dollars. His monthly mortgage is m dollars, and his annual property tax bill is p dollars. His monthly credit card bill is c dollars, and he has a monthly car loan ford dollars. His quarterly homeowner's bill is h dollars. Part A Express Andy's back-end ratio as an algebraic expression. Part B The expression above is rewritten as an equivalent rational expression. Complete the numerator to this expression below. Do anyone know about demodex mites that lives in our face ? Let f(x,y,z)=11x 2y 2+5z 2. Calculate f(0,4,5). (Write your solution using the form (,,). Use symbolic notation and fractions where needed.) If the United States levies a tariff of $0.50 on every pound of coffee imported from Kenya, the United States hasA.) LEVIED A SPECIFIC TARIFF ON IMPORTED COFFEE FROM KENYAB.) LEVIED AN AD VALOREM TARIFF ON IMPORTED COFFEE FROM KENYAC.) LEVIED A TRANSIT TARIFF ON IMPORTED COFFEE FROM KENYAD.) VIOLATED ITS FREE TRADE AGREEMENT WITH KENYAE.) IMPLEMENTED A VOLUNTARY RESTRAINTS AGREEMENT (VRA) ON COFFEE IN KENYA In this assignment, you'll evaluate the implementation of a fictitious set of system calls that provide file O. These system calls allow opening, closing, reading, and writing files. One interesting aspect of this set of system calls is that the position in a file for individual read and write operations is always specified (although the natural "current position" can be specified using the anchor CURRENT POSITION-read on for more details). Another twist is that the system call for writing data into a file must prevent the string "MZ" from appearing in the first two bytes of the file. The current implementation of the system calls appears in fileio.c and fileio.h (available from Moodle) and includes // open or create a file with pathname 'name' and return a File // handle. The file is always opened with read/write access. If the // open operation fails, the global 'fserror' is set to OPEN_FAILED, // otherwise to NONE File open file (char *name); // close a 'file'. If the close operation fails, the global 'fserror' // is set to CLOSE FAILED, otherwise to NONE. void close file (File file); // read at most 'num_bytes' bytes from 'file' into the buffer 'data', // starting 'offset' bytes from the 'start' position. The starting // position is BEGINNING_OF_FILE, CURRENT_POSITION, or END_OF_FILE. If // the read operation fails, the global 'fserror' is set to // READ FAILED, otherwise to NONE unsigned long read file_from (File file, void *data, unsigned long num bytes, SeekAnchor start, long offset); Professional advisory services provide detailed information about mutual funds. Which of the followingis not a professional advisory service?A. Dun and Moody's.B. Lipper Analytical Services.C. Morningstar, Inc.D. Value Line.E. All of these are professional advisory services that provide information about mutual funds. how to gain trust back in a relationship after lying? money that we have today can be set aside to purchase things in the future. this function of money is known as Byron worked fewer than 20 days last month. Write an inequality for d, the number of days Byron worked last month. The quantum physics model of hydrogen has been accepted as correctly describing the hydrogen atom. Complete the following statement: For the ground state of the hydrogen atom, the Bohr model correctly predicts:only the energyonly the angular momentumonly the angular momentum and the spinthe angular momentum and the energythe energy, the angular momentum and the spin true/false. solar power refers to the process of harnessing the sun's power to create clean, renewable energy. a uniform meter stick swings about a pivot point which is a distance x = 23.3 cm from the end of the stick. what is its period of oscillation? Fill in the missing reactants or products to complete these fusion reactions: - He H+ +2H He + He H+H --He+