Write the equation of the parabola with a focus at (-3, -5) and a directrix at y = -7.

Answers

Answer 1

Answer:

The directrix is negative so the equation will be

x^2=4ay

x=-3

y=-5

a=x^2/4y

a=(-3)^2 /4*(-5)

a=9/20

x^2=4*(9/20)*y

x^2=9/5y

Step-by-step explanation:

The directrix always determine the equation to use. It is also important to notice the sign(-+).


Related Questions

what is 4.8 × d = 1.2​

Answers

Answer:

0.25

Step-by-step explanation:

1.2 divide by 4.8=0.25

0.25*4.8=1.2

5 = .25

4.8 x .25 = 1.2

Please help me ilysm if u do ILL ALSO GIVE U BRAINLIEST

Answers

Answer:

B

Step-by-step explanation:

Answer:

$1.89 for 3ft

Step-by-step explanation:

3ft x 12in = 36

36in divided by 1.89 = 19.048

18in divided by 0.89 = 20.225

So, buying $1.89 for 3 ft is the better purchase.

Find the mean of the data in the pictograph below.

Answers

The answer is 12. Ann's

Answer:

3 i think..

Step-by-step explanation:

lol  i just added and then multiplied then divided..

40 pages read in
20 minutes
2 pages
per minute

Answers

2 pages per minute ...

Find the slope between these two points: (3, 8) and (1, 5).

Answers

the slope is 3/2 (3 over 2)

Answer:

The Slope is 3/2

Step-by-step explanation:

Hope this helps

Use the information given to write an equation in standard form.

Slope is -2, and (4, 3) is on the line.

Answers

Answer:

[tex]2x+y=11[/tex]

Step-by-step explanation:

Standard form of an equation is written as [tex]ax+by=c[/tex] for some constants [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex].

Slope-intercept form is written as [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.

Plugging in all given values in the problem ([tex]m=-2[/tex], [tex]x=4[/tex], and [tex]y=3[/tex]), we can solve for [tex]b[/tex]:

[tex]3=-2(4)=b, \\b=11[/tex].

Therefore, our equation in slope-intercept form is:

[tex]y=-2x+11[/tex].

Rewriting in this in standard form, we get our answer:

[tex]\fbox{$2x+y=11$}[/tex]

if this is the graph of f(x)=a^(x+h)+k, then: A. k>1
B. 0 1

Answers

Answer: B: 0 < a < 1

Step-by-step explanation:

The equation we have is:

f(x) = a^(x + h) + k.

k is the value at where we have the horizontal line. In this particular case, we can see that we have a horizontal line at y = -4, then we can conclude that:

k ≈ -4

a is the rate of growth. If a is positive and greater than 1, we would have an increasing function, for example with a = 2, k = 0 and h = 0 we have:

2^1 = 2

2^2 =4

2^3 = 8

This is an increasing function.

Now if a is greater than 0 and smaller than 1, we have a decreasing function (as seen in the graph). For example for a = 0.5, k = 0 and h = 0 we have:

0.5^1 = 0.5

0.5^2 = 0.25

0.5^3 = 0.125

This is a decreasing function.

Then the correct option is B, 0 < a < 1

Answer:

its b

Step-by-step explanation:

a p e x

the mail slot is 24cm in width and 7cm in length what is the maximum width of the mail slot

Answers

Answer:

24 cm

Step-by-step explanation:

it says that the mail slot is 24 cm in width

Answer:

Step-by-step explanation:

14cm

Help! Thx so much its pretty easy! u guys r da best!

Answers

Answer:

36

Step-by-step explanation:

Conjugate of z = -3-5i

Therefore the expression is equivalent to (-3+5i)(-3-5i).

(-3+5i)(-3-5i)

=(-3)^2-(5i)^2

=9-(-25)

=36

Answer:

z (the conjugate of z) = 34

what is 2/3 ÷ 3/4 I really need help​

Answers

Answer:

8/9

Step-by-step explanation:

2/3 ÷ 3/4

2*4/(3*3)

8/9

HELP ASAP!! What is the midpoint of the segment shown below?
(-1, 5) and (-6, -2)

Answers

(-3.5,1.5) mark it the brainliest

Answer:

D) (-7/2 , 3/2)

Step-by-step explanation:

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

(-6-1/2),(5-2/2)

(-7/2),(3/2)

Jacob's family traveled 2/7 of the distance to his grandfather's house on Saturday. They traveled 2/5 of the remaining distance on Sunday. What fraction of the total distance to his grandfather's house was traveled on Sunday?

Answers

Answer:

2/7

Step-by-step explanation:

on Saturday, the family drove 2/7 of the total distance

distance remaining after Saturday's trip = 1 - 2/ 7 = 5/7

On Sunday, they drove 2/5 of the remaining distance = [tex]\frac{2}{5} x \frac{5}{7} = \frac{2}{7}[/tex]

Pls help it due ASAP hdhdhd

Answers

Your answer would be D

What is the image point of (-4, 8) after a translation right 3 units and down 3 units?

Answers

Answer:

(-1,5)

Step-by-step explanation:

-4-(-3)=1

8-3=5

Lucas is making accessories for the soccer team. He uses 587.19 inches of fabric on headbands for 35 players and 2 coaches. He also uses 302.05 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?

Answers

Answer: 24.5 inches

Step-by-step explanation:

Luca used 587.19 inches for 35 players and 2 coaches:

= 35 + 2

= 37 people.

The inches per person used for headband is:

= 587.19/37

= 15.87 inches

Luca then used 302.05 inches for just players who number 35 to make wristbands. Inches used per player is:

= 302.05/35

= 8.63 inches

Fabric used for each player is therefore:

= 15.87 + 8.63

= 24.5 inches

On a trip to Spain Kelly brought a piece of jewellery that costs $50.75 she paid for with her credit card with charges of foreign transaction of a 4% fee The foreign transaction fee is

Answers

Answer:

Transaction fee is $1.95 approximately.

Step-by-step explanation:

Let the jewellrey costs $x before transaction fee.

So, we can set up equation for the given information as

x + 4% (x) = 50.75

Convert 4% to decimal by dividing it by 100.

x + 0.04 x=50.75

Simplify the left side of the equation.

1.04 x= 50.75

Divide both sides by 1.04

x= $48.7980..

So, transaction fee = 4% (48.7980)=$1.95 approximately.

A store has a 25% off sale on coats. Marcy saved $18.75 on the coat she bought. What was the original price of the coat?

Answers

Answer:

$25

Step-by-step explanation:

18.75 is 75% of a value. You can easily find the answer by dividing 18.75 and 0.75.

When you have a problem like x*5=30, you divide 30/5 to get 6. Same here, x*0.75=18.75. Divide 18.75/0.75 to get the answer.

Answer:

25 dollars

Step-by-step explanation:

please give the other person a brainliest bc they actually explained it really well

Rewrite in simplest terms: -3(-10d+8)+3d−3(−10d+8)+3d

Answers

-3(-10d + 8) + 3d - 3(-10d + 8) + 3d
= 30d - 24 + 3d + 30d - 24 + 3d
= (combining like terms)
= 30d + 3d + 30d + 3d - 24 - 24
= 66d - 48
= 66d/6 and -48/6
= 11d - 8

7
Express 40 cm as a percentage of 5 m.

Answers

Answer:

40 cm is 8% of 5 m

Step-by-step explanation:

40 cm / 5m

= 40cm / 500cm

= 4/50

= 2/25

= 8%

4/50=2/25=8%.

Answer is=8%.

There are 31 pink beads and 15 purple beads on Violet's necklace. What is the ratio of the number of beads to the number of pink beads?

Answers

Answer:

The ratio of number of purple beads to the number of pink beads is: 15:31

Step-by-step explanation:

Number of pink beads = 31

Number of Purple beads = 15

We need to find ratio of number of purple beads to the number of pink beads

So, The ratio of number of purple beads to the number of pink beads is:

Number of purple beads : Number of pink beads

15 : 31

Since it cannot be simplified further, So

The ratio of number of purple beads to the number of pink beads is: 15:31

Jaden is wrapping presents for his family. He has 7 boxes to wrap altogether. If he has 6 yards of ribbon, how much will he use for each present?

Answers

6 yards for all the presents

write the expression in exponential form.




[tex] \sqrt[5]{ x} [/tex]

Answers

Answer:

[tex]x^{(\frac{1}{5})}[/tex]

Step-by-step explanation:

The expression [tex]\sqrt[x]{y^z}[/tex] can always be be written as its exponential form compatriot [tex]y^{(\frac{z}{x})}[/tex].

the answer is x(1/5)

Help !!!
See question in image.
Please show workings .

Answers

Answer:

see explanation

Step-by-step explanation:

Given f(x) then the derivative f'(x) is

f'(x) = lim(h tends to 0 ) [tex]\frac{f(x+h)-f(x)}{h}[/tex]

      = lim ( h to 0 ) [tex]\frac{4(x+h)^2-2-(4x^2-2)}{h}[/tex]

      = lim ( h to 0 ) [tex]\frac{4(x+h)^2-2-4x^2+2}{h}[/tex]

      = lim( h to 0 ) [tex]\frac{4x^2+8hx+4h^2-4x^2}{h}[/tex]

      = lim( h to 0 ) [tex]\frac{8hx+4h^2}{h}[/tex]

      = lim ( h to 0 ) [tex]\frac{4h(2x+h)}{h}[/tex] ← cancel h on numerator/ denominator

      = lim ( h to 0 )  4(2x + h) ← let h go to zero

f'(x) = 8x

Help !!!
See question in image.
Please show workings .
​​

Answers

Answer:

gradient = 9

Step-by-step explanation:

The gradient of the tangent at x = a is the derivative [tex]\frac{dy}{dx}[/tex]

Differentiate using the power rule on each term

[tex]\frac{d}{dx}[/tex] (a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex] and [tex]\frac{d}{dx}[/tex] ( constant ) = 0

y = 2x² + 5x - 3

[tex]\frac{dy}{dx}[/tex] = 2.2[tex]x^{2-1}[/tex] + 5[tex]x^{1-1}[/tex] - 0

    = 4x + 5

[tex]\frac{dy}{dx}[/tex] ( x = 1 ) = 4(1) + 5 = 4 + 5 = 9 ← gradient of tangent

Can someone help please?

Answers

Answer:

a: 36

b: 32

Step-by-step explanation:

Lizard views: 4

Since Ferret has 9 times as much as Lizard views, you can multiply it by 9:

4 x 9 = 36 views

To find the difference, subtract Ferret views with Lizard views:

36 - 4 = 32 views

A rope is tied to a tent for support as shown. Rope Support 14 TL sin What is the length of the rope?​

Answers

Answer: 10ft

Step-by-step explanation:

The pole and the distance between the rope and pole make this appear as though it is a right angled triangle which means that one should be able to calculate the length of the rope by using the Pythagorean rule where:

c² = a² + b²

a = height of right angle triangle

b = length of right angle triangle

c = hypotenuse (length of rope)

c² = 6² + 8²

c² = 36 + 64

c² = 100

c = √100

c = 10 ft

Length of rope = 10ft

Line segment AB is divided by point C in the ratio 1:2. Point A is at (-6, 6) and point C is at (2, 4). What are the coordinates of point B?

Answers

9514 1404 393

Answer:

  B(10, 2)

Step-by-step explanation:

The division by point C means ...

  B -C = 2(C -A)

  B = 3C -2A . . . . . add C and simplify

  B = 3(2, 4) -2(-6, 6) = (3·2 -2(-6), 3·4 -2(6))  . . . .  fill in the coordinate values

  B = (6+12, 12-12)

  B = (18, 0)

find the area of the trapezoid below by decomposing it into fimilar shape?​

Answers

Answer:

168 feet

Step-by-step explanation:

area of trapezoid = length (a)+ breadth(b) / 2 height

30 points! Will mark brainliest. No random answer please.

Answers

Answer:

to determine whether the equation of the line parallel or perpendicular.we have to find there slope.

Step-by-step explanation:

2x+3y=15

3y=15-2x

y=15/3 -2x/3

y=5-2x/3

y=-2x/3 +5

so the cooficient tell us the slope of the line so it is -2/3

4x+6y=-48

6y=-48-4x

y=-4x/6 -48/6

y=-4x/6 -8

so the slope of this line is -4/6

now to say two lines are parallel there slope should be the same

-2/3 ≠ -4/6

to say two line are perpendicular with one another the product of there slope should be -1

-2/3 * -4/6

=8/18

=4/9 which is different from -1

they are neither parallel nor perpendicular.

Last month rudys tacos sold 22 dinner specials. The next month they sold 250% of last months dinners. How many dinner specials did they sell this month?

Answers

Answer:

55 special dinners

Step-by-step explanation:

From the question,

Last month rudys tacos sold 22 dinner specials.

The next month they sold 250% of last months dinners.

Hence:

250% × 22 special dinners

= 55 special dinners

The number of dinner specials they sold this month is 55 special dinners

Other Questions
Drag the tiles to the correct boxes to complete the pairs. Match each verse form to its description. ballad elegy ode sonnet a lyric poem that uses lofty language, a formal tone, and often contains an apostrophe a narrative poem made up of quatrains, or four-line stanzas, where alternate lines rhyme a lyric poem that contains 14 lines and a fixed pattern of rhyme a lyric poem that has a sad tone and is used to express sorrow over someone's death Reset Next i need help please someone help? A recycling bin in the shape of a rectangular prism has a volume of 9,720 cubicinches. The base area of the recycling bin is 324 square inches. What is the heightof the recycling bin?A. O 10 inchesB. O 15 inchesC. O 30 inchesD. O 36 inches English grade 10th the cas killed cows bodily ?A,who B,Whose C,Whom D,which Look at the image, read and choose the option with the correct adjective to complete the sentence. Two people jumping with their motorcycles very high up in the air. One of them is lifting himself off his seat. Mis primas son trabajadoras, deportistas y ________ cuando practican deportes. Ellas no tienen miedo! gordas antipticas atrevidas perezosas For a field trip 4 students rode in cars andthe rest filled nine buses. How manystudents were in each bus if 472 studentswere on the trip?1a. What does the variable "x" represent?1b. What equation represents this word problem?1c. What is the solution to the word problem?(Please help me with this quiz) Can yall plz solve this HOW DO YOU TURN CAPS LOCK OFF ON CHROMEBOOK Help plz will do BRAINLIEST!!!!!! In which step did the veterinarian make the first error?Step 1Step 2Step 3Step 4 PLZ HELP 40 POINTS!!!!In The Adventures Of Charlotte DoyleBy the end of Chapter 6, Charlottes white gloves have turned a "sodden gray." What does this imply? that life on the ship is changing Charlotte that the ship is a dangerous place that Charlotte isnt good at washing her clothes that Captain Jaggery is ashamed of Charlotte Kathy is planning a party. She decides to serve pizza to her guests and estimated that she will need 12 pizzas with 8 slices each. If each person eats 3 pieces, then how many people cans she serve. PLZ HELPkeiko tosses one penny and ephraim tosses two pennies. what is the probability that ephriam gets the same numbers of heads as keiko Total Manufacturing Cost, Income Statement, Unit Cost, and Selling Price Two inventors, recently organized as Innovation, Inc., consult you regarding a planned new product.They have estimates of the costs of materials, labor, overhead, and other expenses for 2016 but need to know how much to charge for each unit to earn a profit in 2016 equal to 15% of their estimated total long-term investment of $560,000 (ignore income taxes). Their plans indicate that each unit of the new product requires the following: Direct Material 4 lb. of a material costing $7 per lb. Direct labor 2 hrs. of a metal former's time at $15.40 per hr. 0.6 hr. of an assembler's time at $11.20 per hr. Major items of production overhead would be annual rent of $65,044 for a factory building, $40,124 rent for machinery, and $30,380 of indirect material. Other production overhead is estimated to be $326,592. Selling expenses are an estimated 30% of total sales, and non-factory administrative expenses are 20% of total sales.The consensus at Innovation is that during 2016 10,000 units of product should be produced for selling and another 2.000 units should be produced for the next years beginning inventory. Also, an extra 3,000 pounds of material will be purchased as beginning inventory for the next year. Because of the nature of the manufacturing process, all units started must be completed, so work in process inventories are negligible.Required Incorporate the above data into a schedule of estimated total manufacturing costs and compute the unit production cost for 2016. How do you say city in Spanish someone please help me !! PLEASE ANSWER: Which expression is equivalent to -20-(-4)A. 20+4B. 20-4C. -20-4D.-20+4 Can someone help me with this? Write an argumentative essay on "Online exams a boon or a bane."Don't simply message or ask anything in the answer box if you don't know the answer.And if you find it difficult to write then you can upload a picture.Thank you : ) Which country was one of the central powers during world war 1 what is -2(3x + 12y - 5 - 17x - 16y + 4)