Write the equation of the directrix of the parabola shown below.

y^2+16y+4x+4=0

Answers

Answer 1

Answer:

Hello,

F=(14,-8)

directrice: x=16

Step-by-step explanation:

Making reduce form:

[tex]y^2+16y+4x+4=0\\y^2+2*8y+64-64+4x+4=0\\\\(y+8)^2-60+4x=0\\\\x=-\dfrac{(x+8)^2}{4} +15\\[/tex]

Since i prefere working with y=...: exchanging x and y

[tex]y=-\dfrac{(x+8)^2}{4} +15\\\\Comparing\ to\ y=\dfrac{(x-a)^2}{2(b-k)} +\dfrac{b+k}{2} \\\\a=-8 :\ S=(-8,15)\\\\\\b-k=-2\ and\ b+k=30 \ \longrightarrow\ b=14\ and\ k=16\\\\Exchanging\ x\ and\ y:\\\\Focus=(14,-8)\\\\x=16[/tex]

Write The Equation Of The Directrix Of The Parabola Shown Below.y^2+16y+4x+4=0

Related Questions

In right triangle ABC a.30°
b.45°
c.60°
d.75°

Answers

Answer:

c

Step-by-step explanation:

30°+90°+x=180°  (the sum of interior angle of a triangle is 180°)

120°+x=180°

x=180°-120°

x=60°

What is the quotient of 7.81 x 106 and 7.1 x 103 expressed in scientific notation?

Answers

Answer:

8.2786 x 10 to the second power, 7.313 x 10 to the second power

Step-by-step explanation:

find the supplement of 3/4 of a right angle

Answers

Answer:

Step-by-step explanation:

¾*90=67.5

180-67.5=112.5°

Answer:

60°

Step-by-step explanation:

You can see the explanation in the picture

Use the distributive property to write the expression without parentheses.
6(3a-2)

Answers

Answer:

18a - 12

Step-by-step explanation:

6(3a-2)

6*3a - 6*2

18a - 12

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]18a - 12[/tex]

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Simplifying...}}\\\\6(3a-2)\\-----------------\\\rightarrow \text{Distribute the '6' into '3a' and '-2'.}\\\\\rightarrow 6 * 3a = 18a\\\\\rightarrow 6 * -2 = -12\\\\\\\text{Therefore:}\\\\6(3a-2)\rightarrow \boxed{18a - 12}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

What is the value of g(f(x)) f(x)=2x^2+3 g(x)=x-4

Answers

Answer:

2x^2 -1

Step-by-step explanation:

f(x)=2x^2+3

g(x)=x-4

g(f(x))

Replace x in g(x) with the function f(x)

g(f(x)) = 2x^2+3 -4

Combine like terms

         =2x^2 -1

plz help me..... ....​

Answers

Answer:

Step-by-step explanation:

Help!!! please!!! Confused!

Answers

∵AB=CB
∴∠BAC=∠BCA

∵AB bisect ∠MAT
∴∠MAB=∠TAB

Hope my answer helped u :)

I need help with this math problem

Answers

9514 1404 393

Answer:

  quiz score if no homework is done

Step-by-step explanation:

The y-intercept is the point where the horizontal coordinate is zero. That axis is defined as "hours per week spent on homework". So, the y-intercept is the function value when zero hours per week are spent on homework.

The function value is defined as "expected quiz score".

Then the y-intercept is ...

  the expected quiz score when zero hours per week are spent on homework

Which of the following choices is a linear function?
O f(x) = x2 – 3x+ 2
O f(x) = 3x3 – 3x + 2
O f(x) = -3x + 2

Answers

Answer:

f (x) = x2 - 3x + 2

Step-by-step explanation:

Answer:

f(x)=-3x+2

Step-by-step explanation:

The first one is a quadtratic function because it is in quadtratic form.

The second one is also not linear because it looks like a squiggly line. Sorry I forgot what they are called but I know it is not linear.

That leaves the last one is is linear and should be going down because there is a negative in front of the coefficient. It also has so exponent to prove why it is linear even further.

Hope this helps!

how much cost Rs 1136 when it is 10% discount and 13% vat is added then find out the discount and Vat amount

Answers

Answer:

Rs 1155.3

Step-by-step explanation:

1136 * .1 = 113.6

1136 - 113.6 = 1022.4

1022.4 * 1.13 = 1155.3

Consider the expression

-4b + 8c + 12 - 8b - 2c + 6.
Part A
Factor the simplified expression using the GCF.

Answers

Answer:

 -12 b + 6 c + 18

Step-by-step explanation:

-4 b + 8 c + 12 - 8 b - 2 c + 6

After simplification, the correct value is,

⇒ 6 (- 2b + c + 3)

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We haver to given that;

The expression is,

⇒ -4b + 8c + 12 - 8b - 2c + 6.

Now, We can simplify by combine like terms as;

⇒ -4b + 8c + 12 - 8b - 2c + 6.

⇒ - 12b + 6c + 18

And, GCD of 12, 6, 18 = 6

Hence, Take 6 as common as;

⇒ - 12b + 6c + 18

⇒ - 2×6b + 6c + 3×6

⇒ 6 (- 2b + c + 3)

Therefore, The solution of the expression is,

⇒ 6 (- 2b + c + 3)

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ7

What is the domain of the square root function graphed below?

Answers

Answer:

Answer:

The domain is x ≥ 3

In your own words what is the absolute value of a number?

Answers

Answer:

see below

Step-by-step explanation:

The absolute value is the distance from zero.

It is the non-negative quantity.

For his science project, Chip decided to test how well plants grew with fertilizer. He started off by planting seeds in three different pots and labeling each of the plants. Plant A had no fertilizer. Plant B had the recommended amount of fertilizer. Plant C had four times the recommended amount of fertilizer. For ten consecutive days he measured the height of each plant in centimeters. The follow ing table shows his results. Which plant grew the most from Day 7 to Day 9?

Answers

Now in pot experiments the most important point is to have the same number of plants per pot. To achieve this you plant more seeds and then you thin them after emergence to keep the same number of uniform plant per pot.

Now for calculating fertilizer rate of application in pots, you calculate according to soil weigh as you correctly indicated 2.2 M Kg/ha. You don't have to weigh the soil, just use the bulk density to calculate weigh from volume. Forget about space in pot experiment. you will have a lot of problems since pots have different shapes and forms!

Another recommandation mix soil and fertilizers for each treatment for the number of replicate pots. If you are using 5 replicates pot of 2 Kg soil/ pot, mix the fertilizers you want to apply to the 5 pots with 10 Kg of soil and after mixing well (preferably mechanically) distribute the same volume of soil in each one of the 5 pots.

If the amount of fertilizer to apply is small mix with some soil first and mix well before mixing to the whole soil. The idea is to have as much as possible, a uniform distribution.

You might also consider fractionating you nitrogen source if it will be leached.

Now according to the exact aim of your work other method sof fertilizationare possible.

Finally remember that maize is a mycorrhizal plant and this beneficial symbiosis can be influenced by the amount of soluble P you are adding.

Wishing you a lot of success in your work

hope it's help you plz mark as brain list.......!!!!!!!!!!!!!!!!

hope it will helps you

ashley here

A train station is between the towns Antville and Bugville. The station is four times as far from Bugville as it is from Antville. If the distance from Antville to Bugville is 95 km, how far is it from Antville to the station?

Answers

Answer:

237.5 or 238

Step-by-step explanation:

95km=10

95km×10=950

950÷4= 237.5cm

approximately 238

what is the product of 5 1/2 and 1 2/7​

Answers

Answer:

[tex]\frac{99}{14}[/tex] or [tex]7\frac{1}{14}[/tex]

Step-by-step explanation:

[tex]5\frac{1}{2}[/tex] × [tex]1\frac{2}{7}[/tex]

Step 1. Convert the mixed fractions into an improper fraction (by multiplying the denominator by the whole number and adding the numerator with de denominator to the result)

Answer:

[tex]5\frac{1}{2}=[/tex] [tex]2[/tex] × [tex]5+1=[/tex] [tex]\frac{11}{2}[/tex]

[tex]1\frac{2}{7}=[/tex] [tex]7[/tex] × [tex]1+2=\frac{9}{7}[/tex]

Step 2. Multiply (by multiplying numerator by numerator and denominator by denominator)

Answer:

[tex]\frac{11}{2}[/tex] × [tex]\frac{9}{7}=\frac{99}{14}[/tex] or [tex]7\frac{1}{14}[/tex]

Answer:

The product of 5 1/2 and 1 2/7 is 7 1/14

Step-by-step explanation:

Turn the mixed numbers into improper fractions.

11/2 * 9/7

Multiply.

11/2 * 9/7 = 99/14

Turn into a mixed number.

99/14 = 7 1/14

Hope this helps!

Which graph represents the function f(x) = (2)x + 2?

Answers

Answer:

The last graph

Step-by-step explanation:

-5 (k+4) > 2 - (3k+6)

Answers

I believe that the answer you are looking for is -8>k, or k<-8.

Solution/Explanation:

First, writing out the inequality,

-5(k+4) > 2-(3k+6)

Next, using the Distributive Property on both sides,

-5k-20 > 2-3k-6

Simplifying the right side just a little bit more,

-5k-20 > -3k-4

Adding 5k to both sides,

-5k+5k-20 > -3k+5k-4

-20 > 2k-4

Now, adding 4 to both sides,

-20+4 > 2k-4+4

-16 > 2k

Finally, dividing 2 from both sides,

So, therefore, the final answer is -8>k, or k<-8.

I hope this helped answer your question. Enjoy your day, and take care!      

Mr. Hamilton decorates his U.S. History classroom by putting up pictures of the presidents. The wall is 9.75 feet long. In the center, there is a window that is 5 ¾ ​ feet long.
Each president's picture is 6 inches wide.

4. How would your answer change if the pictures were 10 inches wide? Explain.

Answers

Answer:

The number of pictures changes from 8 to 4.

Step-by-step explanation:

I assume the first question was the number of pictures that could be placed when the pictures are 6 inches wide.

Let's first answer the first question.

Wall length: 9.75 ft

Window: 5¾ ft = 5.75 ft

Available wall space for pictures:

9.75 ft - 5.75 ft = 4 ft

Now we convert 4 ft to inches.

1 ft = 12 inches

4 ft = 4 * 12 inches = 48 inches

There is 48 inches of wall space to place pictures that measure 6 inches each.

48 inches / 6 inches = 8

Originally, there is room for 8 pictures.

Question 4.

Each picture is 10 inches wide.

There is still 48 inches of wall space for the pictures.

48 inches / 10 inches = 4.8

There is room for 4.8 pictures. Since Mr. Hamilton will place only whole picture, he can only place 4 pictures now.

Answer: The number of pictures changes from 8 to 4.

What is the scale factor?

Answers

Answer: B

Step-by-step explanation:

You can see that the length of the sides from abc are factored by 1/3 to get the length of xyz. Therefore, the scale factor is 1/3.

Answer:

3

Step-by-step explanation:

As you can see we can compare one side of the larger triangle to the other one by seeing the length of the side

One side measures 27 while another one measures 9 (from the other triangle) to get to 9 starting by 27, we divide by 3…

Given three consecutive odd integers whose sum is 369, find the smallest of the three integers.

Answers

Answer:

Step-by-step explanation:

369 = x + (x+2) + (x+4)

369 = 3x + 6

363 = 3x

121 = x

now that we know that x = 121, we can solve the equation by plugging in the variable

369 = x + (x+2) + (x+4)

369 = 121 + 123 + 125

369 = 369

The smallest three integers are 121,123 and 125.

Let, the smallest odd integers be n

Then according to the given condition,

[tex]n+(n+2)+(n+4)=369\\3n+6=369\\3n=363\\n=121[/tex]

So, the numbers are,

[tex]n=121\\n+2=121+2=123\\n+4=121+4=125[/tex]

Learn More:https://brainly.com/question/2254193

Drag an answer to each box to complete this paragraph proof. can u tell me what is this for

Answers

Answer: its for an assignment

Step-by-step explanation:

Write the equation in slope-intercept form. y = 6(x + 2) + 5x

Answers

Answer:

y=11x+12

Step-by-step explanation:

y = 6(x + 2) + 5x

y=6x+12+5x

y=11x+12

in slope interception form=  y=mx+c

                                                y=11x+12

Y=11x + 12 my brother

Plz help........
1. -1114 ÷ ( - 117)

2. -212 ÷ ( -123)

3. - 512 ÷ 58

4. 27 ÷ ( -79)

Answers

Answer:

1. 1114/117        2. 212/123       3. -256/29       4. -27/79

Step-by-step explanation:

1. 1114/117

2. 212/123

3. -256/29

4. -27/79

Read the following problem: "Find the number, if the sum of 9 and a half a number equals 35." Which of the following translations is correct?

9 + x + 2 = 35
9 + 2x = 35
9 +35 = 2x
None of these choices are correct.

Answers

Answer:

None of these choices are correct.

Step-by-step explanation:

Because half a number that will equal 35 would look like x/2 = 35

Therefore, none of the choices are correct

how do I do this and what is the answer?​

Answers

Answer:

4

plug in -1 for all the x's

3 + 2 + 7 = 12 (remeber that -1 *-1 = + 1 and that -2*-1 = + 2

-2+ 5 = + 3

12/3 = 4

Step-by-step explanation:

An ice-making machine needs to be switched on
for 10 minutes before the production of ice begins.
The mass, in tờnnes, of ice produced is directly
proportional to the number of hours of production.
Given that 20 tonnes ofâce are produced when the
machine runs for half an hour, find the mass of ice
manufactured when the machine runs for
1.75 hours

Answers

Since the question explicitly stated that ice production is proportional to time, we're going to have to use proportion fractions. Remember to convert hours into minutes as well.


You want to decrease a biscuit recipe by half. The recipe calls for 14 cups of milk. How much milk would you use.

Answers

You would use 7 cups of milk

Answer: You would use 7 cups of milk.

Step-by-step explanation:

Half of 14 is 7.

Simplify the following expression:

-3(x+6)+8x
3x-25
5x-22
-11+3x
5x-18

Answers

Answer:

5x -18

I hope this helped! have a nice day! :)

Answer:

5x+18

Step-by-step explanation:

Find the volume of this cone.
Use 3 for TT.
5in
Tr2h
3
8in
V
V ~ [?]in3

Answers

Answer:

50 in ^3

Step-by-step explanation:

V = 1/3 pi r^2 h

We know that pi = 3  

the diameter is 5 so the radius is 1/2 the diameter of 5/2 = 2.5

The height is 8

V = 1/3 ( 3) ( 2.5)^2 ( 8)

V = 50 in ^3

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