Given: The equation of a parabola is x2 = 8y.

Step 3: Where does the directrix for the given parabola lie? Enter the equation for the directrix line. Use your keyboard and the keypad to enter your answer. Then click Done.

Answers

Answer 1

Answer:

x=-2

Step-by-step explanation:

Answer 2

Answer:

Since a = 2, the equation for the directrix line will be y = −2.

Step-by-step explanation:


Related Questions

please help me with this problem !

Answers

Answer:
3/15
10/15

3 + 10 = 13

13/15


Multiply the numerator and the denominator of a fraction to the denominator of the other fraction.

Example:
The fraction 1/5
The denominator of the other fraction: 3
Multiply the numerator: 1*3 = 3
Multiply the denominator: 5*3 = 15

Combine: 3/15

To the nearest degree, find the measure of angle A?

Answers

Answer:

I would say 26 or 42 but i would o with 26

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

[tex]arccos\left(\frac{18}{20}\right)[/tex] = 25.8

Bob's Shoe Emporium sold 5,787 shoes in March. In April they sold 6,245 shoes. How many more shoes did they sell in April than in March? Explain how you got your answer.

Answers

Answer is 458, 6,245-5,787= 458

Which of the graphs represent y=-x^2

Answers

Answer:

Step-by-step explanation:

Can't see all the graphs, but the graph of [tex]y=-x^2[/tex] is an upside down parabola with the vertex at the origin.

suppose the team wins ten of it's following remaining 18 games. What is it's winning percentage?

Answers

10/18 is equal to 0.55
Change to percentages and it will be 55 percent

what is the solution to the system of equation below y=2/5x-3 and X=_10

Answers

Answer:

read explanation

Step-by-step explanation:

since y=2/5x-3 we substitute x=10 in making it y=2/5*10-3

following PAMDAS we do multiplication first so 2/5*10=4.

so y=4-3 and then we subtract and get y=1. Hope this helps:> if you need more explanation message me. If not give this a heart for helping. Good luck.

4×((-1+2-3+4-5+6-7...+1000)

Answers

-1 + 2 - 3 + 4 - 5 + 6 - … - 999 + 1000

= -(1 + 3 + 5 + … + 999) + (2 + 4 + 6 + … + 1000)

= -((2 - 1) + (4 - 1) + (6 - 1) + … + (1000 - 1)) + 2 (1 + 2 + 3 + … + 500)

= -((2 + 4 + 6 + … + 1000) - 500) + 2 (1 + 2 + 3 + … + 500)

= -(2 (1 + 2 + 3 + … + 500) - 500) + 2 (1 + 2 + 3 + … + 500)

Let S = 1 + 2 + 3 + … + 500. Then this sum is equal to

= -(2S - 500) + 2S

= -2S + 500 + 2S

= 500

and multiplying by 4 gives 2000.

Answer:

[tex]4\times \left(\left(-1+2-3+4-5+6-7+1000\right)\right)[/tex]

[tex]calculate\: within \: the \:parentheses[/tex]

[tex]-1+2=1[/tex]

[tex]=1-3+4-5+6-7+1000[/tex]

[tex]1-3=-2[/tex]

[tex]=-2+4-5+6-7+1000[/tex]

[tex]-2+4=2[/tex]

[tex]=-3+6-7+1000[/tex]

[tex]3-7+1000[/tex]

[tex]=-4+1000[/tex]

[tex]=996[/tex]

[tex]Multiply:-[/tex]

[tex]4\times996[/tex]

[tex]=3984[/tex]

--------------------------

Hope it helps..

Have a great day!!

A simple random sample is drawn from a normally distributed population. The value of which of the following will not
known for certain but can be inferred?
o u
o-x
os
on

Answers

Natalie's team needs to make a decision on how to handle a big product recall. People on the team have a lot of strong opinions. Management wants everyone to come to a consensus and to find a solution that everyone can support . What's the best way to get to a consensus ? O a) Everyone on the team talks until the entire team agrees on one decision. Ob ) Everyone on the team discusses options and then votes. Oc ) The team passes the decision - making responsibility to an outside person. d ) The team leader makes a decision without input from the other members .

Help please I need 6 and 8

Answers

It’s is A thank me later!

the graph of a linear function is given below

Answers

Answer:

A

Step-by-step explanation:

The zero of the function is where the y-value is zero.

then it's -5

yea...we most def ain't learn this in class ​

Answers

Answer:

F. 300,000

Step-by-step explanation:

logically, it is decreasing by 1.

WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!!

Answers

Answer:

For 25) it's option C. -1/2

For 26) it's option D. 7π/6, 11π/6

Step-by-step explanation:

If you are finding sin−1 of a positive value, the answer will be between 0 and π/2. Using the unit circle, the angle with a sine of 1/2 in the first quadrant is π/6.

Answer:

-1/2

7π/6, 11π/6

Step-by-step explanation:

First problem:

31π/6 = 31/6 π = 5 1/6 π

A full circle is 2π radians. π radians = 180°

Start at 0 radians (positive x axis), and go 5 half circles counterclockwise.

You end up at π radians, or 180°, or the negative x axis.

Now go π/6 radians more counterclockwise.

You end up at 7π/6 or 210°.

Read the y-coordinate of the point on the unit circle.

Answer: -1/2

Second problem:

Look in the figure of the first problem.

The sine corresponds to the y-coordinate.

Look at the points on the circle, below the x-axis, that have a y-coordinate of -1/2.

They correspond to 7π/6 and 11π/6

A 90 ° angle is divided into 2 angles. Find the size of the angles. 5x+10 and 6x-41 Not drawn to scale

Answers

Answer:

65 and 25

Step-by-step explanation:

90=(5x+10)+(6x-41)

121=11x

11=x

Going back to the angles:

5(11)+10

=55+10

=65 this is the first angle

6(11)-41

=66-41

25 this is the second angle

f(x)= x^2-6x+5 Plot the x-intercept(s), y-intercept, vertex, and axis of symmetry for the function.

Answers

Step-by-step explanation:

The real part (red) and imaginary part (blue) of the Riemann zeta function along the critical line Re(s) = 1/2. The first non-trivial zeros can be seen at Im(s) = ±14.135, ±21.022 and ±25.011. The Riemann hypothesis, a famous conjecture, says that all non-trivial zeros of the zeta function lie along the critical line.

Corey and Courtney are 210 feet apart when they start walking toward one another. Courtney walks twice as fast as Corey so whenever Corey travels
x
feet, Courtney travels
2
x
feet. Let
x
represent the number of feet Corey has traveled since he started walking toward Courtney.

Write an expression in terms of x to represent the distance (in feet) between Corey and Courtney.

Answers

Answer:

  210 - 3x

Step-by-step explanation:

can someone help with this, and explain it as well​

Answers

Answer:

WRS and VRT are vertical angles

Step-by-step explanation:

Vertical angles are formed by the same lines and share a vertex

WRS and VRT are vertical angles

Plssss help thank youuu

Answers

32 out of 107

Do you trust me?

First one gram equals 1000 grams, so a 39 kilogram equals 39000 grams. Then, 1000 pillows times 300 equals a 39 kilogram sofa. Is my answer correct?

Answers

Answer:

No

Step-by-step explanation:

Kilogram is the unit of weight. Kilogram is the measure of how much matter or the mass an object has in it. Kilogram is the bigger unit of measurement while gram and milligram are the smaller units to measure the weight of any object.

We know,

1 kilogram = 1000 gram x 1

So, 1000 gram is equal to 1 kilogram

That means, 39,000 gram is equal to 39 kilogram.

In the question it is asked whether 1000 pillows times 300 is equal to 39 kilogram sofa or not.

The answer is not correct, because we do not know the weight of the 1000 pillows.

And also, 1000 x 300 will give you 300,000 and not 39 kilogram or 39,000 grams.

A rectangular prism has a square base with edges measuring 8 inches each. Its volume is 768 cubic inches. Find the height and the surface area of the prism

Answers

Answer:

Height = 12in

Surface area = 320in²

Step-by-step explanation:

Given

Length of the square base = 8in

Volume of the prism = 768 cubic inches

Using the formula;

Volume of the prism = Base area * Height of prism

768 = 8² * H

768 = 64H

H = 768/64

H = 12in

Hence the height of the prism is 12in

Get the surface area

Surface area = 2l² + 2lh

Surface area = 2(8)² + 2 (8)(12)

Surface area = 128  + 192

Surface area = 320in²

Hence the Surface area of the prism is 320in²

Mr. Atkinson manages playgrounds for the 8 elementary schools in the Franklin School District. This year, he wants to put new sandboxes at each of the schools. He estimates that he will need 3 tons of sand for this project. How many 50-pound bags of sand should he order for each school?

Answers

Answer: 5 bags of sand

Step-by-step explanation:

Given

There are 8 elementary schools

3 Tons of sand is needed

It is contained in a 50- Pound bag

1 ton is equivalent to 2000 Pound

No of 50- Pound bag required is

[tex]\Rightarrow n=\dfrac{2000}{50}\\\\\Rightarrow n=40[/tex]

These 40 bags will be required in 8 schools. So, each school requires

[tex]\Rightarrow \dfrac{40}{8}=5\ \text{bag}[/tex]

Answer:

The number of bags required for each school is 16.53

Step-by-step explanation:

Number of schools = 8

Total sand required = 3 tons

mass of each bag = 50 pounds

Sand required for each school = 3 ton/ 8 = 3000 / 8 kg = 375 kg

1 pound = 0.454 kg

1 kg = 2.205 pounds

So, 375 kg = 826.7 pounds

So, the number of bags required for each school =  826.7/50 = 16.53 bags

Given a line segment that contains the points A,B, & C in order, if AB = x - 2, and BC = 2x + 6, and AC = 19, find x.

Answers

19
Bau wua ua uatw. Stya ja

Rosa worked 28 hours this week and was paid $7 per hour. What were her tot earnings for the week?​

Answers

Answer:

$196.

Step-by-step explanation:

Multiply the hours (h) by amount per hour (a) (h*a), 28*7 and you will get her total earnings, $196.

Answer:

$196

Step-by-step explanation:

28 hours and $7 per hour so you do 28x7 which equals 196.

Samantha found a great deal on sweatshirts at the mall and bought 5 sweatshirts at the
Super Duper sale price. Allison went the next day, but the sale was over, so she only bought
2 sweatshirts and paid $30 more per sweatshirt than Samantha. If the total cost of all 7
sweatshirts was $340, how much did one sweatshirt cost at the Super Duper sale price?

Answers

Answer:

$40

Step-by-step explanation:

You have two sweatshirts that cost $30 more the day after.

First, you do [tex]340 -(2*30)[/tex]

Second, you divide what you got above ($280), by 7 and voila, you have $40 per sweatshirt.

Next year, air fares will rise by 3%.
Calculate the new price of a R 1 400 ticket.

Answers

9514 1404 393

Answer:

  ₹1442

Step-by-step explanation:

The new price will be 1+3% = 1.03 times the old price.

  ₹1400 × 1.03 = ₹1442

Find the solution of this system of equations
4x - 5y = -12
-X + 5y = 18

Answers

4x - 5y = -12

-x + 5y = 18

Add the equations together:

4x + -x = 3x

-5y + 5y = 0

-12 + 18 = 6

So now you have:

3x = 6

Divide both sides by 3:

X = 2

Now you have the value of x, replace x with 2 in one of the equations and solve for y:

4(2) -5y = -12

8 -5y = -12

Subtract 8 from both sides:

-5y = -20

Divide both sides by -5:

Y = 4

The solution is x = 2 and y = 4 which is written as (2,4)

Help pls!
Suppose ten distinct, positive integers have a median of 10. ("Distinct integers" means that no two integers are the same.)

What is the smallest the average of those ten integers could be?

Explain your answer in complete sentences.

Answers

Answer:

8.4

Step-by-step explanation:

Since we want to minimize the average, the integers should be made as small as possible. So, we have 4 integers:

1, 2, 3, 4

However, the median must be 10. The next two integers must have an average of 10 - and since the integers are distinct, we should use:

9, 11

From there, we use the smallest integers (that are still above 11) possible:

12, 13, 14, 15

The average of these 10 integers is 84/10, or 8.4.

The median is still 10, because (9+11)/2 is 10.

Answer:

8 (or 8.4)

Step-by-step explanation:

First, the problem states the words: Distinct and positive.

That means that the smallest number we can use is 0.

We can make 10 blanks for 10 numbers for us to fill in.

_ _ _ _ _ _ _ _ _ _

Since 10 is an even number, and the median is not one single number, it will be the middle of the two numbers.

In this case, our two numbers are the 5th and 6th blank.

Any two numbers can be used, as long as they are the same actual value from 10.

Let us first put in the numbers we can, which are the numbers before the two middle blanks.

0,1,2,3, _ _ _ _ _ _

To find the median between two numbers, we can do:

(a+b) divided by 2 = median

We can use the smallest following number, 4. Then the 6th number will have to be 16 for 10 to be in the middle.

Also try the largest possible number for the 5th blank, 9. Then the 6th number will be 11.

4+16 and 9+11 both equal 20, and 20 divided by 2 is 10. So both of these work.

Now let's place the other numbers in for these two equations.

0,1,2,3,4,16,17,18,19,20

0,1,2,3,9,11,12,13,14,15

If we add the numbers of each together, we get:

0,1,2,3,4,16,17,18,19,20=100

0,1,2,3,9,11,12,13,14,15= 80

If we now divide each sum by 10 (to find the average) we get:

10

8

Since both of these were the most we could go, one with the 5th number as small as possible and one with the 5th number as large as possible.

Since the smaller answer we got was 8, the answer must be 8.

(I believe 0 is a positive integer because it doesn't carry a negative sign. If 0 is not a positive integer, the answer is 8.4. Use the same process

please help with math properties I need 5 and 8 :)

Answers

Answer:

Step-by-step explanation:

            Statements                               Reasons

1. m∠A = 6x - 10                              1. Given

2. m∠B = 2x                                    2. Given

3. m∠C = 8x - 2                               3. Given

4. m∠A + m∠B + m∠C = 180°         4. Triangle sum theorem

5. (6x - 10) + (2x) + (8x - 2) = 180°   5. Substitution

6. 16x - 12 = 180                              6. Algebra

7. 6x = 192                                       7. Addition property of equality

8. x = 12                                           8. Division property of equality  

Describe how you would determine the x-intercepts from the factored form of a quadratic equation

Answers

Answer:

Please check explanations

Step-by-step explanation:

Given the factored form, all we have to do is to equate each of the factor to zero, then solve for x

The particular value of x represents the solution that shows the value of the x-intercept

for example

In a case of a quadratic equation where we have

(x-a)(x-b) = 0

Then we can have

(x-a) = 0 or ((x-b) = 0

Then we have x = a or x = b

a and b are the x intercepts in this case

Please help me out!!!!!

Answers

Answer:

From the figure, we´ll use the ratio of sin74

sin74=x/16

x=16/sin74

x=16.64

OAmalOHopeO

The function f(x) = –x2 – 4x + 5 is shown on the graph. On a coordinate plane, a parabola opens down. It goes through (negative 5, 0), has a vertex at (negative 2, 9), and goes through (1, 0). Which statement about the function is true? The domain of the function is all real numbers less than or equal to −2. The domain of the function is all real numbers less than or equal to 9. The range of the function is all real numbers less than or equal to −2. The range of the function is all real numbers less than or equal to 9.

Answers

Answer:

"The range of the function is all real numbers less than or equal to 9."

Step-by-step explanation:

For this question the domain is (-∞,∞)

The range is all numbers less than 9 (the y-coordinate of the vertex)

The reason the numbers are less than 9 is because the graph is concave down (aka it looks like a frowny face)

Therefore the answer is "The range of the function is all real numbers less than or equal to 9."

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Operating Leverage Beck Inc. and Bryant Inc. have the following operating data: Beck Inc. Bryant Inc. Sales $1,250,000 $2,000,000 Variable costs (750,000) (1,250,000) Contribution margin $500,000 $750,000 Fixed costs (400,000) (450,000) Operating income $100,000 $300,000 a. Compute the operating leverage for Beck Inc. and Bryant Inc. If required, round to one decimal place. Beck Inc. fill in the blank 1 Bryant Inc. fill in the blank 2 b. How much would operating income increase for each company if the sales of each increased by 20%? Dollars Percentage Beck Inc. $fill in the blank 3 fill in the blank 4 % Bryant Inc. $fill in the blank 5 fill in the blank 6 % c. The difference in the of operating income is due to the gi s bn l i trng ca khoa tham gia gii sinh vin khi nghip bn s p dng phong cach lnh o no? ti sao li chn phong cch Plz help guys thank u. Which of the following is true about "natural" steroids?A) They are illegal to use in most sports B) They are safe substitutes for anabolicsC)They do not work better than high protein foods D)They will bulk up muscles just like anabolics What is the value of c in the interval (5,8) guaranteed by Rolle's Theorem for the function g(x)=7x3+91x2280x9? Note that g(5)=g(8)=9. (Do not include "c=" in your answer.) Resuelve el siguiente problema un buzo en una laguna decendio 8m en una hora.Si cada hora bojo la misma cantidad de metros, cuantos metros bojo en 4 horas On a pie chart, a category representing 20% of the whole should correspond to a central angle of 20. An initially motionless test car is accelerated uniformly to 105 km/h in 8.43 s before striking a simulated deer. The car is in contact with the faux fawn for 0.635 s, after which the car is measured to be traveling at 60.0 km/h. What is the magnitude of the acceleration of the car before the collision?acceleration before collision:3.45m/s2 What is the magnitude of the average acceleration of the car during the collision?average acceleration during collision:19.68m/s2 What is the magnitude of the average acceleration of the car during the entire test, from when the car first begins moving until the collision is over? Edwin hiked to a famous point with a beautiful view. It took 2 hours and 55 minutes to hike to the viewpoint and 25 minutes to hike back. Edwin spent 25 minutes enjoying the view at the top. He finished the hike at 11:45 A.M. What time did Edwin start the hike to the viewpoint? A measurement was made of the magnetic field due to a tornado, and the result was 13.00 nT to the north. The measurement was made at a position 8.90 km west of the tornado. What was the magnitude (in A) and direction of the current in the funnel of the tornado? Assume the vortex was a long, straight wire carrying a current. Mole concept Calculate the number of iodine atoms in 4.50g of iodine gas A chef got 7 bags of onions. The red onions came in bags of 8 and the yellow onions came in bags of 3. If the chef got a total of 41 onions, how many bags of each type of onion did he get? In slope-intercept form, what is the equation of a line perpendicular to y = 2x+ 7 that passes through the point (5,8)?1y=0.5x - 10.5O 2y = -0.5x + 10.53y = 2x + 10.54y = -2x - 10.5 Which of the following is the correct factorization of the polynomial below?x3 + 10x2 + 25xA. x(x + 5)(x - 5)B. (x2 + 2x - 5)(x-10)C. (x2 + 5x - 2)(x-10)D. x(x + 5)2 Please hurry this is due tomorrow morning A student is studying the ways different elements are similar to one another. Diagrams ofatoms from four different elements are shown below.Which two atoms are of elements in the same group in the periodic table?F Atom 1 and Atom 2G Atom 1 and Atom 4 H Atom 2 and Atom 3J Atom 3 and Atom 4 Describe what happens by the end of anaphase. a. The chromosomes in the cell become less tightly coiled. b. The nuclear envelope disappears in the cell. c. The mitotic spindle of the cell begins to form outside the nucleus. d. The cell begins to elongate and the two poles have an equivalent collection of chromsomes. e. The vesicles derived from the Golgi apparatus produce a cell plate at the middle of the cell that eventually forms the new cell wall. what are ur guy's favorite songs and favorite artists I need some examples? Where is a continental climate zone most likely located?O A. Above the Arctic CircleO B. Along the equatorC. On the west coast of a continentO D. In the middle of a continent A car has 2gallons of gas. The car gets 30miles/gallon. Enter the conversion factor Please help me find the nouns and adjectives for this passage