Which is the equation of a parabola with Vertex (0,0) and directrix x=-2?

Answers

Answer 1

Answer:

y^2 = 8x

or

x = 1/8 y^2.

Step-by-step explanation:

The general form for this type of parabola is

y^2 = 4ax where the focus is at (a, 0) and the directrix  is x = -a

So the equation is y^2 = 4*2x

that is y^2 = 8x.


Related Questions

Identify the x-intercept and y-intercept of the line 3x - 6y = – 12.

Answers

Question: 3x-6y= -12
Answer: (solve x) x= -4+2y (solve y) y=2+1/2

Answer:

x=32

Step-by-step explanation:

Help hep help help math math math

Answers

Answer:

<4 corresponds with <8

Step-by-step explanation:

They correspond because they are in the same position relative to the lines.

As you can see, it is in the exterior area and it matches up exactly with the other angle. I attached an example picture of a corresponding angle

Hue is arranging chairs. She can form 2 rows of a given length with 6 chairs left over, or 8 rows of that same length if she gets 12 more chairs. Complete the equation and solve it to find how many chairs are in that row length. In your equation, use the variable x to represent the number of chairs in each row.

Answers

Answer:

I am stuck on the same question please comment if someone answers

Answer:

3

Step-by-step explanation:

Okay so 18 chairs were used more for 6 more rows so each row has 3 length.

x = 3

Now this makes no sense, because I don't know why you would leave 6 chairs if you only have 3 chairs for each row but....(Hue is weird so let's not question him)

Anyways mathematically

first arrangement = 2x + 6

second arrangement = 8x - 12

2x + 6 = 8x - 12

6x = 18

x = 3

17. Solve for x: 3xyz = P (MAFS.912. A-
CED.1.4)
a. x = P-3-y-z
b. x = P - 3yz
P
C. X =
3yz
a
d. x = P + y + 3 + z

Answers

3xyz = P

xyz = P/3

xy = P/3z

x = P/3yz

Answer is not there in the options.....but it's correct.

____

Hope it helps ⚜

Can you identify a parallel or perpendicular equation and type the correct code? Please remember to type in ALL CAPS with no spaces.

Answers

The equation of the line that is parallel to [tex]2\cdot x + 5\cdot y = 10[/tex] is [tex]y = -\frac{2}{5} \cdot x + 3[/tex] and the equation of the line that is perpendicular to [tex]4\cdot x + 3\cdot y =12[/tex] is [tex]y =\frac{3}{4}\cdot x - 1[/tex].

Let be a line whose equation is:

[tex]a\cdot x + b\cdot y = c[/tex] (1)

Whose explicit form is:

[tex]y = -\frac{a}{b} \cdot x +\frac{c}{b}[/tex] (2)

Where:

[tex]x[/tex] - Independent variable.[tex]y[/tex] - Dependent variable.

The slope and x-intercept of the line are [tex]-\frac{a}{b}[/tex] and [tex]\frac{c}{b}[/tex], respectively.

There are two facts:

A line is parallel to other line when the former has the same slope of the latter.A line is perpendicular to other line when the former has a slope described the following form ([tex]m_{\perp} = -\frac{1}{m}[/tex]), where [tex]m[/tex] is the slope of the former.

Then, the equation of the line that is parallel to [tex]2\cdot x + 5\cdot y = 10[/tex] is [tex]y = -\frac{2}{5} \cdot x + 3[/tex] and the equation of the line that is perpendicular to [tex]4\cdot x + 3\cdot y =12[/tex] is [tex]y =\frac{3}{4}\cdot x - 1[/tex].

To learn more on lines, we kindly invite to check this verified question: https://brainly.com/question/2696693

Graph the line with a slope of −1 that contains the point (3,6)?

Answers

Answer:

y=-x+9

Step-by-step explanation:

The answer above is written in slope-intercept form because it is the easiest form to graph (in my opinion); slope-intercept form is y=mx+b, where m is slope and b is the y-intercept. However, to get the answer, you must first use slope-point. Slope-point is [tex]y-y_{1}=m(x-x_{1})[/tex]. So, plug in the point and slope into the formula. This gives the equation, y-6=-1(x-3). Then, solve the equation for the answer of y=-x+9.

On a graph, the y-intercept will be 9. So, the line will cross the y-axis at a value of 9. Additionally, the slope is -1. So, y will increase by one and x will decrease by one. This means that the line will look like it decrease left to right.

2/3 divided by 10

PLEASE answer

Answers

Answer:

1/15

Step-by-step explanation:

2/3 x 1/10 = 2/30 or 1/15

Answer:

1/15

Step-by-step explanation:

True or false is 6x10^5 is 20 times as much as 3x10^4

Answers

answer

TRUE

HOPE IT WILL HELP YOU

Emma has nickels and five dollar bills in her pocket. The number of nickels is Five less than three times the number of five. Let f represent the number of dollar bills. Write an expression of the number of nickels.

Answers

Answer:

since the number of nickels is 10 so the expression is5+5

The number of nickels is 10 so the expression is n = 3f - 5

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that Emma has nickels and five dollar bills in her pocket. The number of nickels is Five less than three times the number of five.

Consider that f represent the number of dollar bills.

The expression "The number of nickels is" is equivalent to "n =";

Also, "three times the number of five dollar bills" is equivalent to "3*f"

"eight less than three times the number of five dollar bills" is equivalent to      "3*f - 5"

Then the expression is n = 3f - 5

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Question 1

To adopt a dog from an animal shelter, you must pay $80 for vaccinations, $65 to spay or neuter the dog, and $50 for a wellness exam by a veterinarian.


a. Write an expression in the simplest form that represents the amount (in dollars) it costs to adopt x dogs.


b. What does the coefficient of the expression in part (a) represent?

Answers

Answer:

1a. 195x

1b. 195

Step-by-step explanation:

1a. To determine the expression, we know that we need to get x amount of dogs and we need to pay $80+$65+$50 for each dog so we would be $195x.

1b. The coefficient of an expression is where a constant is multiplied by a variable and the integer is the coefficient. The integer that is being multiplied by the variable is 195 so 195 is the coefficient

hope this helps!

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Given: (DE) is a midsegment of ∆ABC. Show all work.
Find the value of x and y.
What is the length of (AC)?

Answers

Answer:

Step-by-step explanation:

As they are similar triangles

24/AB = 24/2AD = 12/AD = (x + 2)/AD

12 = x + 2

x = 10

(y + 6) + (x - 3) / 24 = (y + 6)/(x + 2)

(y + 6) + (10 - 3) / 24 = (y + 6)/(10 + 2)

             (y + 13) / 24 = (y + 6)/12

                 12(y + 13) = 24(y + 6)

                12y + 156 = 24y + 144

                          12y = 12

                             y = 1

AC = (y + 6) + (x - 3)

AC = (1 + 6) + (10 - 3)

AC = 14

can someone plssssssss help me

Answers

Answer:quizlet helps

Step-by-step explanation:

HELPPPPOPPPOPPÑPPÑÑÑ

Answers

A.

So for 1 hour you pay 10 dolars then for 3 you pay 30 then for 11 you pay 110 then for 20 you pay 200.

For B and C I dont Know sorry.

The table shows the number of
flowers used to create bouquets,
based on the number of bouquets.
Bouquets
Flowers

Bouquets Flowers
3. 27
5 45
8i 72

Answers

According to the table given, the rate of change is of 9.

The rate of change is given by the change in the output divided by the change in the input.

In this problem:

The input is the number of bouquets.The output is the number of flowers.

Taking two of the points, (3,27) and (5,45), we have that:

[tex]m = \frac{45 - 27}{5 - 3} = \frac{18}{2} = 9[/tex]

Hence, the rate of change is of 9, which would be verified taking any pair of two points.

You can learn more about rate of change at https://brainly.com/question/25823744

A bank loaned out $30,500, part of it at the rate of 5% annual interest, and the rest at 4% annual interest. The total interest earned for both loans was $1,405.00. How much was loaned at each rate?

$What was loaned at 5% and

$ What was loaned at 4%.

Answers

Step-by-step explanation:

Ok, so we know the bank loaned part of the $17,500 at a 4% interest rate. Lets call this loan amount x. Then the rest of the 17,500 was loaned at a 9% interest rate. Whatever this amount was, we can define it as 17,500 - x. We also know that the total interest earned was $1,100. With this information, we can form the following equation:

.04(x) + .09(17500 - x) = 1100

Multiply the .09 times the inside of the parentheses:

.04x + 1575 - .09x = 1100

Simplify:

-.05x + 1575 = 1100

-.05x = -475

x = 9500

Since x is originally the amount loaned at the 4% interest rate, we know that $9,500 was loaned at a 4% interest rate.

To figure out the other amount loaned at 9%, simply subtract 9,500 from 17,500 -- this gets us 8,000. So $8,000 was loaned at a 9% interest rate.

I hope this helps!

PLEASE HELP!!

I got about half way through the problem but I ddont know hiw to solve the rest :\

solve the radical equation.
[tex] \sqrt{x + 3} - 1 = x[/tex]

Answers

Answer:

The answer is x = 1

Hope this helps! :)

(sqrt) x + 3 = x + 1

x + 3 = x^2 + 2x + 1

x + 3 - x^2 - 2x - 1 = 0

-x + 2 - x^2 = 0

x^2 + x - 2 = 0

(x - 1) (x + 2) = 0

x = 1, -2

^^no negatives/canceled

x = 1

The answer is x = 1
You welcome

I’ll give brainliest!
Add 3/4 + (2^1/2) using the number line
Select the location on the number line to plot the sum

Answers

Answer: -1 3/4

Step-by-step explanation

just add the fractions together :)

(between the -2 and -1 1/2)

A CD is on sale for $100.00. The sales tax rate is 6%. How much will the total cost be for the CD

Answers

Answer: $106.00

Step-by-step explanation:

Please answer I need step by step explanation

Answers

Answer:

10 cm

Simplified explanation/tl;dr: the small triangle is two thirds the size of the big triangle, so the missing side on the small triangle is two thirds the size of the same side on the big triangle

Long explanation/step by step:

It looks scary, but don't worry; for questions like this just find the ratio then multiply it by the similar side to find the missing side.

   This is what I mean: 8/12 simplified is 2/3 (4 is the common factor and 8/4 = 2 and 12/4 = 3). That's your fraction to multiply by.

   I chose 8 and 12 because look how the triangles are the same shape just different sizes, that means they're similar. the similar sides are just the same side on both triangles. (for this one, BC and GH are similar). to find how much smaller it is in fraction form, you just take two of the same sides and divide the small one by the big one. (big number becomes top, small becomes bottom)

   now just multiply 15 by 2/3 by using fraction multiplication. 15/1 x 2/3 = 30/3. Simplify that to 10/1 (3 is the common factor and 30/3 = 10 and 3/3 = 1). 10/1 = 10.

04.03 HC)
Given the function f(x) = 2(3)x, Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3.

Part A: Find the average rate of change of each section. (4 points)
Part B: How many times greater is the average rate of change of Section B than Section A? Explain why one rate of change is greater than the other. (6 points)

(10 points)

Answers

Part A:

To find the average rate of change, let us first write out the equation to find it.

Δy/Δx = average rate of change.  

Finding average rate of change for Section A

Δy = f(1) - f(0) = 2(3)^1 - 2(3)^0 = 6 - 1 = 5

Δx = 1- 0 = 1

Plug the numbers in: Δy/Δx = 5/1 = 5

Therefore, the average rate of change for Section A is 5.  

Finding average rate of change for Section B

Δy = f(3) - f(2) = 2(3)^3 - 2(3)^2 = 2(27) - 2(9) = 54 - 18 = 36

Δx = 3 - 2 = 1

Plug the numbers in: Δy/Δx = 36/1 = 36

Therefore, the average rate of change for Section B is 36.  

Part B:

(a) How many times greater is the average rate of change of Section B than Section A?

If Section B is on the interval [2,3] and Section A is on the interval [0,1].  

For the function f(x) = 2(3)^x, the average rate of change of Section B is 7.2 times greater than the average rate of change of Section A.  

(b) Explain why one rate of change is greater than the other.  

Since f(x) = 2(3)^x is an exponential function the y values do not increase linearly, instead increase exponentially. In an interval with smaller x values the rate of change is lower than an interval with larger x values.

Can someone help me?help me please​

Answers

Answer:

10 tomatoes (bottom fruit) - 9 kiwis (top fruit) = 1 tomato

10-9=1

Step-by-step explanation:

7 grade math hellp me

Answers

Answer:

32

Step-by-step explanation:

180 - 148 = 32

I hope this helps!

Can anyone help! me 30 points

Answers

Answer:

the first one and the last one

Step-by-step explanation:

Hope it will helps you ❤️❤️❤️

Please mark me as a brainliest

How many sixes are equal to double 27?

Answers

Answer:

its not sixes theres 4 sixes equal 24 so there is no answer

Step-by-step explanation:

can i have brainliest pls

Answer:

9

Step-by-step explanation:

Double 27 is 54. 6 times 9 is 54

)
0
2
1 + 3 = 2 +
Balancing equation

Answers

I’m not sure but I need points so please mark this as answer :)

The value of a share of stock on the stock market decreased by 14%. If it used to be worth $102.64, what is it worth now? Round to the nearest hundredth.

Answers

Answer:

Step-by-step explanation:

The share of stock is $88.33 worth now which is the value of a share of stock on the stock market decreased by 14%.

What is the percentage?

The percentage is defined as a ratio expressed as a fraction of 100.

For example, If Saima obtained a score of 57% on her exam, that corresponds to 67 out of 100. It is expressed as 57/100 in fractional form and as 57:100 in ratio form.

The value of a share of stock on the stock market decreased by 14%. If it used to be worth $102.64 which is given in the question.

We have to determine the evaluation of 15% of 60.

⇒ 14% of $102.64

15%  is expressed as 15/100 in fractional form

⇒ (14/100)(102.64)

15/100  is expressed as 0.15 in decimal form

⇒ (0.14)(102.64)

Apply the multiplication operation, and we get

⇒ 14.31

Therefore, 14% of $102.64 would be $14.31.

The share of stock is worth now: $102.64 - $14.31 = $88.33.

Learn more about the percentages here:

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Two handymen can do a home repair in 2 hours if they work together. One of the men takes 3 hours more than the other man to finish the job by himself. How long does it take for each handyman to do the home repair individually?

Answers

Using the together rate, it is found that:

It takes 3 hours for the first handyman to do the home repair individually.It takes 6 hours for the second handyman.

The together rate is the sum of each separate rate.

In this problem, we have that:

The together rate is of [tex]\frac{1}{2}[/tex].The first man takes x hours, hence his rate is of [tex]\frac{1}{x}[/tex]The second man takes x + 3 hours, hence his rate is of [tex]\frac{1}{x + 3}[/tex]

Applying the together rate:

[tex]\frac{1}{x} + \frac{1}{x + 3} = \frac{1}{2}[/tex]

[tex]\frac{x + 3 + x}{x(x + 3)} = \frac{1}{2}[/tex]

[tex]4x + 6 = x^2 + 3x[/tex]

[tex]x^2 - x - 6 = 0[/tex]

Which is a quadratic equation with coefficients [tex]a = 1, b = -1, c = -6[/tex], hence:

[tex]\Delta = b^2 - 4ac = (-1)^2 - 4(1)(-6) = 25[/tex]

[tex]x_1 = \frac{-b + \sqrt{\Delta}}{2a} = \frac{1 + \sqrt{25}}{2} = 3[/tex]

[tex]x_2 = \frac{-b - \sqrt{\Delta}}{2a} = \frac{1 - \sqrt{25}}{2} = -2[/tex]

We are interested into the positive root, then [tex]x = 3[/tex], [tex]x + 3 = 6[/tex], which means that:

It takes 3 hours for the first handyman to do the home repair individually.It takes 6 hours for the second handyman.

You can learn more about the together rate at https://brainly.com/question/25159431

10. Saul works two part-time jobs. Last week, he worked 14 hours at a shoe store, and 19
hours as a telemarketer. His total pay was $240.30. The week before, he made
$300.00 for 19 hours at the shoe store and 22 hours telemarketing. Find his hourly
wage for each job

Answers

Answer:

shoe store $7.80/hour

telemarketer: $6.90/hour

Step-by-step explanation:

Let s = hourly salary at the shoe store.

Let t = hourly salary as a telemarketer.

14s + 19t = 240.3

19s + 22t = 300

Multiply both sides of the first equation by 19. Multiply both sides of the second equation by -14. Then add them.

         266s + 361t = 4565.7

(+)     -266s - 308t = -4200

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

                       53t = 365.7

t = 6.9

Substitute 6.9 for t in the first equation and solve for s.

14s + 19(6.9) = 240.3

14s + 131.1 = 240.3

14s = 109.2

s = 7.8

Answer:

shoe store $7.80/hour

telemarketer: $6.90/hour

The graph show how many minutes it takes Ziah to run a certain distance in the city What is the constant of proportionality? Write your answer as a decimal

need answer in 5 minutes will give brainliest​

Answers

Answer:  1.5

Explanation:

The constant of proportionality is the same as the slope for equations of the form y = kx.

To find the value of k, we divide the y over x values.

k = y/x = 12/8 = 1.5

or

k = y/x = 6/4 = 1.5

Either way the answer is 1.5

This means Ziah ran at a rate of 1.5 city blocks per minute.

Launch Problem

Melanie was training for a race. The line plot below shows the number of miles Melanie ran last week.


5. How many miles did Melanie run altogether last week?

Answers

Answer:

5 miles

Step-by-step explanation:

add the points together.

it seems like each point is how many miles they ran each day.

1/4 + 2(1/2) + 3/4 + 3(1) = 5

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