c Sections
Help Resources
Find the vertex and focus of the
parabola:
y2 +12y - 4x + 48 = 0
Vertex = ([?], [?])
Focus = ([?], [?])
Enter

C SectionsHelp ResourcesFind The Vertex And Focus Of Theparabola:y2 +12y - 4x + 48 = 0Vertex = ([?],

Answers

Answer 1
The focus (4,6) and the vertex (3,-6)

Related Questions

Ashley has ridden 32 miles of a bike course. The course is 80 miles long. What percentage of the course has Ashley ridden so far?

Answers

Answer:

40%

Step-by-step explanation:

divide 80 by 100 80/100= 0.8 then divide 32 by 0.8 to get 40%

What value of x makes the equation true?

-4( x - 3) = -28

Answers

Answer: x = 10

Step-by-step explanation: hope this helps

They are ordering 120 pounds of seafood for the week. How many should be fish?​

Answers

Answer:

43.2 pounds of fish :)

Step-by-step explanation:

120 x 0.36 = 43.2

Have a great day!!

Please rate and mark brainliest!!!

A shipping container is in the form of a right rectangular prism, with dimensions of
20 ft by 8 ft by 7 ft 9 in. If the container holds 409 cubic feet of shipped goods, what
percent is full? Round your answer to the nearest whole number if necessary.

Answers

Answer:

465

Step-by-step explanation:

I just did it

A total of 360 tickets were sold for a school play. They were either adult tickets or student tickets. The number of student tickets sold was two times the number of adult tickets sold. How many adult tickets were sold? (Please help)

Answers

Answer:

120 ----------adult tickets sold.240 (children tickets sold)

Step-by-step explanation:

a total of 360 tickets were sold for the school play. they were either adults tickets or student tickets. the number of student tickets sold was two times the number of adult tickets sold. how many adult tickets were sold?

Answer by chibabykalu1 (Show Source): You can put this solution on YOUR website!

x, =student tickets

y, =adult tickets

-----

=> x + y = 360 --------(1) x = 2y. ----------(2)

exact translation of the description into a system of equations. Solve for the value of y.

The process can be, solve for x in terms of y, already seen as THE second equation of the system; substitute into the other equation, and solve the result for y, and compute.

=> {2y} + y = 360=> 2y + y = 360=> 3y = 360=> (3y)/3 = +360)/4=> y = 120 ----------adult tickets sold.

Substitute y = 120 into equation 2

=> x = 2y=> x = 2(120)=> x = 240 (children tickets sold)

Mary is saving money to buy a game.So far she has saved $36,which is three-fourths of the total cost of the game.How much does the game cost?

Answers

Answer:

48 i think

Step-by-step explanation:

Answer:

$48

Step-by-step explanation:

can someone help me please

Answers

Answer:

C. d = C/pi

Step-by-step explanation:

lol nothing really to explain but it's saying diameter equals circumference divided by pi

Hope this helps dude !

on saturday mark have 20 apples and his mom took 2

Answers

20 - 2 = 18

Is that the answer you were looking for?

Complete two expressions that have the same product as 3 x 5 . 12

__________ x

1

12 __________ x

3

12 hurry up please

Answers

Answer:
Hope this helped :)

If 1cm represents 5m, what would be an area of 6 square cm. represent?​

Answers

Answer:

150 m²

Step-by-step explanation:

Given 1 cm represents 5 m

⟹1 cm=5 m

given area =6 cm² =6×(5 m)²  =6×25 m²

=150 m²

area of 6 cm² represents 150 m²

Marcy is putting a wallpaper border at the top of the walls of her baby's rectangular room. The width of the room is 2 feet less than the length. If she needs 52 feet of border, what are the dimensions of the room?​

Answers

Answer:

The baby's rectangular room is 14 feet long and 12 feet wide

Step-by-step explanation:

Assume we set:

x=width of the room

y=length of the room

The width of the room is 2 feet less than the length:

[tex]x=y-2\qquad\qquad [1][/tex]

The total length of the wallpaper needed is the perimeter of the room. The formula for the perimeter of a rectangle is:

P=2x+2y

And the perimeter is equal to 52 feet:

2x+2y=52

Dividing by 2:

[tex]x+y=26\qquad\qquad [2][/tex]

Substituting x from [1]:

y-2+y=26

Simplifying:

2y-2=26

Adding 2:

2y=28

Solving:

y=28/2=14

y=14

Find x:

x=y-2=14-2=12

The baby's rectangular room is 14 feet long and 12 feet wide

PLEASEEE HELP!!! Let f and g be differentiable functions such that f' (1) = 2 and g’ (1) = 6. If h (x) = 5 f(x) - 4g (x) + 3x^2 - 2, what is the value of h’ (1) ?

Answers

Hi! Attached is my work on how to solve it. Feel free to ask any questions about anything you’re confused about!

The value of h'(1) is -8

Given the following expression;

[tex]h (x) = 5 f(x) - 4g (x) + 3x^2 - 2[/tex]

Differentiating the function above:

[tex]h' (x) = 5 f'(x) - 4g' (x) + 6x[/tex]

Given the following parameters

[tex]f' (1) = 2\\g' (1) = 6[/tex]

Get h'(1)

[tex]h' (1) = 5 f'(1) - 4g' (1) + 6(1)\\h' (1)=5 (2) - 4(6) + 6(1)\\h' (1)= 10-24+6\\h' (1)=-8[/tex]

Hence the value of h'(1) is -8

Learn more here: https://brainly.com/question/1557484

what is equivalent to 2(-6c+3)+4c

Answers

Answer:

-8c + 6

Step-by-step explanation:

2 (-6c + 3) + 4c

Distribute the 2 with the expression in the parenthesis:

-12c + 6 + 4c

*Parenthesis are no longer needed

Combine Like terms:

-8c + 6

*Ask yourself is it in its simplest form? If no, continue your work. If yes, you have your answer.

At a birthday party for 20 people each person could order a hot dog or chips. If there were four times as many hot dogs as chips ordered, calculate how many hot dogs and how many chips were bought.​

Answers

Call the amount of chips ordered : x

-> The amount of hot dogs ordered : 4x

Since there are a total of 20 chips and hot dogs orders, x + 4x = 20 -> 5x = 20

-> x = 20/5 = 4
-> 4x = 4 x 4 = 16

So, there are 16 hot dogs and 4 chips ordered.

Answer:

16 hot dogs

4 chips

Step-by-step explanation:

Let h = number of hot dogs ordered

Let c = number of chips ordered

Given:

Total number of orders = 20Four times as many hot dogs as chips ordered

⇒ h + c = 20

⇒ h = 4c

Substitute  h = 4c  into  h + c = 20  and solve for c:

⇒ 4c + c = 20

⇒ 5c = 20

⇒ c = 4

Substitute found value for c into  h = 4c  and solve for h:

⇒ h = 4 × 4

⇒ h = 16

Therefore, 16 hot dogs and 4 chips were ordered.

What is the length of diagonal LN?

12.6 in
25.2 in
22.8 in
20.4 in

Answers

Answer:

50.7016

Step-by-step explanation:

1.Area of rhombus is l^2

area of rhombus=1/2*d1*d2

Answer:

the answer is C.25.2

Step-by-step explanation:

i took the quiz and got it right.

Find the Derivative y’ implicitly.

Answers

[tex]e^{x^2y} - e^y = e^y(e^{x^2} - 1) = x[/tex]

We should ISOLATE x

[tex]e^y= \frac{x}{e^{x^2} - 1}[/tex]

Find the Natural Log of Both Sides to Make the Left Side "y"

[tex]y = ln(\frac{x}{e^{x^2}-1})[/tex]

Now, FIND THE DERIVATIVE Using Chain Rule!!!

[tex]y' = \frac{1}{\frac{x}{e^{x^2}-1}} * \frac{(1(e^{x^2}-1) - x(2x*e^{x^2})}{(e^{x^2}-1)^2}= {\frac{e^{x^2}-1}{x}}* \frac{(1(e^{x^2}-1) - x(2x*e^{x^2})}{(e^{x^2}-1)^2} = {\frac{1}{x}}* \frac{(1(e^{x^2}-1) - x(2x*e^{x^2})}{(e^{x^2}-1)} = {\frac{1}{x}}* \frac{(e^{x^2}-1 - 2x^2e^{x^2})}{(e^{x^2}-1)}[/tex]

What is the answer to this question I can’t work it out Ni=n02(yi-yo)/t2

Answers

Changing the subject of an equation involves solving for another variable in the equation

The equation of t is [tex]t=\frac{\sqrt{y_i-y_o}}{N}[/tex]

How to change the subject of the equation

The equation is given as:

[tex]N=\sqrt[2]{\frac{y_i-y_o}{t^2}}[/tex]

Rewrite the equation as:

[tex]N=\sqrt{\frac{y_i-y_o}{t^2}}[/tex]

Evaluate the square root of t^2

[tex]N=\frac{\sqrt{y_i-y_o}}{t}[/tex]

Multiply both sides by t

[tex]Nt=\sqrt{y_i-y_o}[/tex]

Make t the subject, in the above equation

[tex]t=\frac{\sqrt{y_i-y_o}}{N}[/tex]

Hence, the equation of t is [tex]t=\frac{\sqrt{y_i-y_o}}{N}[/tex]

Read more about subject of formula at:

https://brainly.com/question/657646

please help thank youuu

Answers

Answer:

What color does the letter purple taste like?

Step-by-step explanation:

Help?? I'm so confused ​

Answers

Answer:

0.10

Step-by-step explanation:

If one meter is 100 centimeters and you're trying to find how much of a meter is in 10 centimeters all you need to do is divide the meter by 10, just like they did to get the amount of centimeters.

if a:b=3:4 find the value of 15a+9b:16a+5b​

Answers

Answer :

81 : 68

Step-by-step explanation:

[tex] {\longrightarrow \: \sf \: Let \: \: a : b\: = 3: 4 = \dfrac{a}{b} \: = \: \dfrac{3}{4} = k}[/tex]

Therefore,

[tex] \dashrightarrow \qquad \sf \: a = 3k[/tex]

[tex] \dashrightarrow \qquad \sf \: b = 4k[/tex]

Now, Substituting the values :

[tex]\longrightarrow \qquad \sf \: 15a+9b:16a+5b[/tex]

[tex]\longrightarrow \qquad \sf \: \dfrac{15(3k)+9(4k)}{16(3k)+5(4k)}[/tex]

[tex]\longrightarrow \qquad \sf \: \dfrac{45k+36k}{48k+20k}[/tex]

[tex]\longrightarrow \qquad \sf \: \dfrac{81k}{68k}[/tex]

[tex]\longrightarrow \qquad \sf \: \dfrac{81 \cancel{k}}{68 \cancel{k}}[/tex]

[tex]\longrightarrow \qquad \sf \: \dfrac{81}{68}[/tex]

[tex]\longrightarrow \qquad \bf \: {81} : {68}[/tex]

Therefore ,

[tex]{ \pmb{ \sf{\longrightarrow \qquad \: 15a+9b:16a+5b = 81 : 68}}}[/tex]

Help guys asap this is due today. Find the volume of the cylinder. Find the volume of a cylinder with the same radius and double the height.

The volume of the cylinder in^3?

The volume of with the same radius and double the height is ?

Answers

Answer:

226.2 in³ and 452.4 in³

Step-by-step explanation:

Volume of original shape:

Volume = base area x height
Volume = πr² x 2
Volume = π(6)² x 2
Volume = 113.10 x 2
Volume = 226.2 in³


Volume with same radius but double the height:

Volume = base area x height
Volume =  πr² x 2(2) ----------> multiplied by 2 because height is being doubled
Volume = 113.10 x 4
Volume = 452.4 in³

A server makes $200 a week working at a local restaurant. The server saves 35% of the $200 weekly earnings each week for 4 weeks.

If the server saves 7/8 of the 5th week’s $200 earnings, how much money will the server have saved in total after the 5 weeks?

.$245
.$305
.$315
.$455

Answers

The total amount of money the server would have saved after 5 weeks is  $455.

What is the total amount saved?

The first step is to determine the total amount of money saved for the first four weeks.

Total amount of money saved in the first four weeks = 35% x (200 x 4) = $280

Amount saved on the 5th week = 7/8 x $200 = $175

Total savings = $175 + $280 = $455

To learn more about fractions, please check: https://brainly.com/question/1301963

3.
Calculate 7.561 – 2.37

Answers

Answer:

7.561 – 2.37=5.191 if you wanted me to show work, comment and ill change it.

Step-by-step explanation:

The answer to the equation is 7.561-2.37=5.191

what is the answer? I'll give brainiest to whoever is right

Answers

Answer:

5) 0 6 ) 1/4

Step-by-step explanation:

So the slope ( gradient ) of line E is 0 because it is straight and it as no slope

The slope of line F is 1/4 because:

Gradient = y^2 - y^1 / x^2 - x^1

Gradient = 2-0 / 6- -2

Gradient= 2 / 8

2/8 in lowest term is 1/4

YOU MIGHT AVE A DIFFERENT METHOD BUT ANSWERS MUST BE THE SAME.

HOPE IT HELPED

Evaluate a + 6 for a = 10
16
6
60

Answers

I think the correct answer is 4 but if you have to pick from the options you were given to with 16

What is the volume of the sphere?



​Use \mathrm{\pi } = 3 . 14π=3.14 and round your answer to the nearest hundredth.





Answer:​
cubic inches

Answers

The volume of the sphere that has a radius of 3 inches is: 113.1 in.³

What is the Volume of a Sphere?

Volume of a sphere is found using the formula, V = 4/3 πr³, where r is the radius of the sphere.

Given the following:

π = 3.14r = 3 inches

Plug in the values into V = 4/3 πr³:

Volume of the sphere = 4/3 (3.14)(3)³

Volume of the sphere = 113.1 in.³

Learn more about the volume of a sphere on:

https://brainly.com/question/20394302

PLEASE HELP DUE SOON! - 40 POINTS + BRAINLIEST
(2 attachments)

Answers

Answer:

Step-by-step explanation:

B

A

A

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

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 candy distributor needs to mix a 40% fat-content chocolate with a 50% fat-content chocolate to create 100 kilograms of a 41% fat-content chocolate. How many kilograms of each kind of chocolate must they use? A) Write an equation that uses the information as it is given above that can be used to solve this problem. Use x as your variable to represent the quantity of 40% fat-content chocolate. Equation: B) Answer: They must mix ?Kilograms of the 40% chocolate and ?Kilograms of the 50% chocolate.

Answers

Answer:

The kilograms of chocolate for the 40% fat content (1st chocolate) = 90kg

The kilograms of chocolate for the 50% fat content (2nd chocolate) = 10kg

Step-by-step explanation:

A candy distributor needs to mix a 40% fat-content chocolate with a 50% fat-content chocolate to create 100 kilograms of a 41% fat-content chocolate. How many kilograms of each kind of chocolate must they use?

Let us represent

Kilograms of first chocolate = x

Kilograms of second chocolate = y

A candy distributor needs to mix a 40% fat-content chocolate with a 50% fat-content chocolate to create 100 kilograms of a 41% fat-content chocolate.

Hence:

40% × x + 50% × y = 41% × 100

0.40x + 0.50y = 0.41× 100

0.40x + 0.50y = 41.......Equation 1

x + y = 100kg ......Equation 2

x = 100 - y

Substitute 100 - y for x

0.40(100 - y) + 0.50y = 41

40 - 0.40y + 0.50y = 41

Collect like terms

- 0.40y + 0.50y = 41 - 40

0.10y = 1

y = 1/0.1

y = 10.

Therefore, the kilograms of chocolate for the 50% fat content (2nd chocolate) = 10kg

Remember:

x = 100 - y

x = 100kg - 10kg

x = 90kg

The kilograms of chocolate for the 40% fat content (1st chocolate) = 90kg

Please help me answer this question please?

Part c

Answers

Answer:

ok 12 is 12 1 is 1 2 is 2 and three is treee

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