Write the equation of the directrix of the parabola shown below.
y2 + 16y+ 4x + 4 = 0

Answers

Answer 1

Answer:

x = 16 is the answer

Step-by-step explanation:


Related Questions

If 8x−5y=−3 is a true equation, what would be the value of 8x−5y+7?

Answers

Answer:

Value of 8x -5y + 7 is 4.

Step-by-step explanation:

Given that:

8x-5y = -3     Eqn 1

It is a true equation.

Now we have to find the value of the given expression

8x -5y + 7

Putting value of 8x-5y from Eqn 1 in the given expression

8x - 5y + 7

-3 + 7

4

Therefore,

8x - 5y + 7 = 4

Hence,

Value of 8x -5y + 7 is 4.

Simplify the following expression.
3^3/5• 3^(-7/5)

Answers

Answer:

[tex]\frac{1}{3x^{\frac{4}{5}}}[/tex]

Step-by-step explanation:

Subtract the exponents: 3/5 - 7/5 = -4/5

Equation would become 3^-4/5

Which is equivalent to 1/3x^4/5

Solve the system.... 2y+8x+58 and y-5x=11

Answers

Answer:

x=2, y=21

Step-by-step explanation:

there are two methods: substiution and elimation. I will be doing subtistution in this soultion:

first isolate y in either equation, it would be easier to do it in the second one.

y= 11+5x

Then, subtitute that into the first equation

2(11+5x)+8x=58 (it says 2y+8x+58 but I assume you mean 2y+8x=58?)

22+10x+8x=58

18x = 36

x=2

substitute that back into y = 11+5x, to get y=11+10 = 21

the number of employees for a certain company had been decreasing each year by 8%. If the company currently has 860 employees and this rate continues, fund the number of employees in 19 years.

Answers

Answer:

approximately 684 employees

Step-by-step explanation:

So this is an exponential equation since there is a dividing decrease, not just subtracting. The standard equation is,

[tex]y = a(b)^{x} [/tex]. [tex]a[/tex] is initial value (860 employees) and [tex]b[/tex] is the change [tex]-8%[/tex] or [tex]0.92[/tex]. The [tex]x[/tex] would be the period of time, [tex]19[/tex]. This equation would be [tex]y = 860(0.92)^{19} [/tex].

After solving, the equation would become the following: [tex]y = 860(0.92)^{19} = 176.387242442≈176[/tex]. After subracting the number of lost employees from orginal employees ([tex]860-176=684[/tex]), we see that the company will have approximately 684 employees left after 19 years.

A pump moves 70 gallons of water
per minute. How long will it take the
pump to empty a 2,030-gallon tank?

Answers

It will take 29 minutes to empty a 2,030- Gallon Tank.
70 x 1 = 70 Gallons per minute
2,030/70 = 29 minutes

help for brainlest what can be use ti

Answers

Answer:

2x(5+13)

Step-by-step explanation:

add then multiply by 2

Answer:

to find perimeter

= 2(L+w)

= 2(5+13)

10+26

36

so the answer is 2×(5+13)

hope it's helpful ❤❤❤❤

THANK YOU.

Determine the intercepts of the line x-intercept

Answers

Answer:

I dont know if you meant where it intercepts the x line or y line so for the x line it intercepts at -7.5 but for y line it intercepts at 5.5

On a coordinate plane, the coordinates of vertices R and T for a polygon are R(−7, 3) and T(3, 3). What is the length of Side RT of the polygon?


4 units

6 units

10 units

16 units

Answers

Answer: 6 units
Hope this helps

Answer:

The answer is 10 units because if you add up all the units that would be on the side you will get 10

Step-by-step explanation:

Find the product of the term 3ab

Answers

I it would be 3ab • 1 = 3ab

9. Factorize: 6x2 - 19x + 14.​

Answers

Answer:

Step-by-step explanation:

Here, we want to factor the given polynomial

We have this as;

6x^2 - 19x + 14

= 6x^2 -12x-7x + 14

= 6x(x-2) -7(x-2)

= (6x-7)(x-2)

6x^2-19x + 14 = (6x-7)(x-2)

Juan received a bank account statement reporting the recent changes
to his account. The statement showed an overall increase in the
account balance of $1,909.15. During the time shown on the
statement, Juan was paid twice and withdrew a total of $1,437.99 to
cover all his bills and expenses. How much (x) is each of Juan's
paychecks?

Answers

Answer:

2628.15

Step-by-step explanation:

1909.15+ 1437.99/2=2628.15

What hazard is present in this image?

Select the best option.


A mat that has upturned edges


Hair clippings on the floor


Tool cord left out


Spills on floor

Answers

Answer:

spills on the floor

Step-by-step explanation:

there is liquid of some sort someone could slip and hurt themselves. hope this helps

plssssssssssssss help this quiz is timed Tomaz realized that the tip of a second hand on a clock rotates about the center of the clock. He watched the second hand rotate around the center of the clock for 15 seconds. Which describes the rotation he observed?

270 degrees clockwise rotation


90 degrees clockwise rotation

180 degrees rotation

90 degrees counterclockwise rotation

Answers

Answer:

90 degrees

Step-by-step explanation:

90 degrees hhgffdfkgdf

Answer:

90 degrees clockwise rotation

Step-by-step explanation:

Because


Solve the linear equation x + 4 + 3x = 72. State the property that justifies your first step and why you chose it

Please Help!!!!!!!!!

Answers

Answer:

x=17

Step-by-step explanation:

x+4+3x=72

4x+4-4=72-4

4x/4=68/4

x=17

Associative property of addition

Answer: x  =  17

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

HURRY
1/12 is the same as 1÷12. What is the exact quotient in decimal form of 1÷12?

Answers

Answer: Yes 1/12 is the same as 1 ÷ 12

decimal form is 0.083333333333333333(3 is repeating)

Step-by-step explanation:

Answer:

0.08333333333

Step-by-step explanation: since i helped can i have brainlist please :D

Number seven plz helppp

Answers

6^4 is the same as 6x6x6x6
The answer is 1,296

Answer:

1,296

Step-by-step explanation:

I multiplied 6 four times.

Help pleas brainliest promise

Answers

Answer:

1) 13

2) 1

Step-by-step explanation:

1) you add the e amount of people that went to the store 3 and 5 times because those are all more than 2.

2) 1 has the lowest number on the amount of landings.

I need help what is the diameter of this circle?​

Answers

Answer:

14cm

Step-by-step explanation:

the diameter is 2x the radius

The full distance from side to side, or radius multiplied by 2!

What is the solution of the system? {5x−y=−21x+y=−3 Enter your answer in the boxes. ( , )

Answers

Answer:

(-4,1)

Step-by-step explanation:

im pretty sure that is the answer, i will finish the test and tell you if it is right in the comments i guess lol

Answer:

(-4,1)

Step-by-step explanation:

I took the test

Katie's business is going so well she wants to expand and add a shirt. She makes an isosceles triangle logo like the one below.

What is the angle of B

Answers

I think u forgot to put pic for we can see the triangle
Can u give us how the angle looks please if you could?

The cost to manufacture a hair clip is $0.50. With a markup of 200%, what is the selling price of this hair clip?

Answers

Answer:

Step-by-step explanation:

The cost to manufacture a hair clip is $0.50. With a markup of 200%, what is the selling price of this hair clip?

Given data

cost to manufacture a hair clip is $0.50

markup of 200%

Required

The selling price

We know that

Mark up percent= selling-cost/cost*100

200= selling-0.5/0.5*100

200-selling= 50/0.5

200-selling= 100

selling= 200-100

selling = 100

Hence the selling price is $100

Let sin(2x)-sin(x)=0, where 0 ≤ x < 2pi. What are the possible solutions for x?

Answers

Step-by-step explanation:

sin2x - sinx = 0

2sinxcosx - sinx = 0

(Double Angle Formula)

sinx(2cosx - 1) = 0

Either sinx = 0 or cosx = 1/2.

When sinx = 0,

x = 0 or x = π.

When cosx = 1/2,

x = π/3 or x = 5π/3.

Hence the solutions are

x = 0, x = π/3, x = π or x = 5π/3.

Can someone could explain the part of simplifying rational expressions where it is x is not equal to a number. I've had a hard time understanding how to get that answer. The picture is an example in my notes.

Answers

Answer:

yeah it is bcoz if x is -1 then x+1 will be

-1+1 which is 0 and ur whole equation will say

now thats a lot of damage

If 4x+ 3 = 9x − 4, then x = ?
F. 75 G. 57 H. 713 J. 15 K. −15

Answers

Answer:

Step-by-step explanation:

Jhbiko

Answer:

7/5

Step-by-step explanation:

4x+3=9x-4

3=9x-4-4x

3=5x-4

3+4=5x

7=5x

7/5=x

x= 7/5

is this one of the choices I hope it helps.

Guys help I’ve been trying to solve this problem for the past 40 minutes.

Answers

Answer:

56 degrees since you set the two equations equal to each other and then plug the value of p (which is 11) back in to find the answer.

need help plz help me

Answers

Answer:

The last one t/5-6=-3

Step-by-step explanation:

All you have to do is plug in 15 to each equation, knowing this if you add 15 into this equation you would get 15/5-6=-3 and this is true because 15/5=3, 3-6=-3!

I hope this helps and have a great day!

The diagram shows two congruent equilateral triangles whose overlap is a hexagon.
The areas of the smaller triangles, which are also equilateral, are 1, 1, 9, 9, 16 and 16, as shown.
16
16
X1
9
What is the area of the inner hexagon?

Answers

Answer:

38

Step-by-step explanation:

Seven people are going to share an 84-ounce bottle of soda. How many ounces will each person get to drink? Choose the correct equation and answer for this situation. I THINK THIS IS ABOUT RASIOS SO PLS HELP

Answers

Answer:

7 ÷ 84 = 84 = 12 ounces

             _

             7

Step-by-step explanation:

The equation will be 7x = 84. Then the number of ounces will each person get to drink will be 12.

What is the linear system?

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Seven people are going to share an 84-ounce bottle of soda.

Let x be the number of the ounces bottle of soda of each person.

Then we have the equation will be

7x = 84

 x = 84 / 7

 x = 12

Then the number of ounces will each person get to drink will be 12.

More about the linear system link is given below.

https://brainly.com/question/20379472

#SPJ2

What is the value of x?
A. 6
B. 5
c. 4
D.3

Answers

Answer:

D

Step-by-step explanation:

CD is an angle bisector and divides the opposite side into segments which are proportional to the other 2 sides, that is

[tex]\frac{BC}{AC}[/tex] = [tex]\frac{BD}{AD}[/tex] , substitute values

[tex]\frac{4}{3}[/tex] = [tex]\frac{x}{2.25}[/tex] ( cross- multiply )

3x = 9 ( divide both sides by 3 )

x = 3 → D

hello My name es Liliana y arigato bye​

Answers

Answer:

?????.... hii erica herrrr

Answer:

Hi Liliana i love your name! it's very pretty:) my name is Melody

Step-by-step explanation:

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