Mathematics High School

Write an equation of the parabola with vertex (0, 0) and directrix x=2.

Answers

Answer 1

Answer:

          y² = -8x

Step-by-step explanation:

directrix x=2 and vertex (0, 0) means focus: (-2, 0)

also means the distance from the origin to the focus: a=2

y² = -4ax  

y² = -4×2x

y² = -8x

Related Questions

In the diagram shown, what is the measure of angle BAC?

Answers

Answer:

Option (B)

Step-by-step explanation:

By exterior angle theorem,

Exterior angle of a triangle is equal to the sum of two opposite interior angles.

By the given theorem,

8x - 30 = (4x + 8) + (2x + 2)

8x - 30 = 6x + 10

8x - 6x = 40

2x = 40

x = 20

m∠BAC = (2x + 2) = (2×20) + 2

                              = 42°

Therefore, Option (B) will be the answer.

Pleasee help me with my Math is important and I need help

Answers

Answer:

aint no way im answering all of those

kid just put them in y=mx+b form by isolating the y

Step-by-step explanation:

i'll do #19 for ya

y-4 = 3(x-2)

3(x-2) turns into 3x-6 when u distribute it

y-4 = 3x-6

isolate the y by adding 4 on both sides

y=3x-2

there ~ it's in slope intercept form

Answer:

19. Y = 3x - 2

20. Y = -x - 6

21. Y = -2x + 2

22. Y = -5x + 14

23. Y = 6x - 3

24. Y = 3x + 23

25. Y = 1/2x + 5

26. Y = 1/3x + 2

27. Y = x + 1

a type of green paint is made by mixing 2 cups of yellow with 3.5

find a mixture that will make the same shade of green but a smaller amount

find a mixture that will make the same shade of green but a larger amount

find a mixture that will make the different shade of green that is bluer

find a mixture that will make the different shade of green that is more yellow​

Answers

Answer:

Anything with 2 Yellow and more than 3.5 Blue

Step-by-step explanation:

The answer is pretty obvious, but I will give a more mathimatical explanation that is easy to understand.  The ratio is saying that for every 2 units of yellow, there are 3.5 units of blue.  You can find ratios that are the same but use more/ less  amounts.  So if you use 4 units of yellow and 7 of blue it is the same ratio.  

If you multiply both parts of the ratio (or divide) by the same number you will always get the same ratio.  So if you want something more blue (or yellow) you just have to keep one the same while increasing the one you want to have more effect.  


Solve the following
equation:
8(x – 3) + 15 = 55


X=4
X=8
No solution
Infinite solutions

Answers

I think it’s 8 if not sorry
See the attachment for answer

What is the solution to this equation?
5x - 32x - 9

Answers

Answer:

x = -2 :)

Step-by-step explanation:

5x - 3 = 2x - 9

3x = -6

-6/3 = -2

Answer:

x = -2

Step-by-step explanation:

I dunno which one to answer so I'll do both. (the question you posted or the picture??)

5x - 32x - 9

First we can combine the like terms 5x and -32x. Which is -27x

We can't combine -9 with anything so it stays the same.

-27x - 9

________________________________

5x - 3 = 2x - 9

-2x        -2x      

3x - 3 = -9

Here I subtracted -2 from both sides.

3x - 3 = -9

    +3    +3

3x = -6

Divide both sides by 3 to isolate the variable.

x = -2

(sorry this is so long) Hope this helps and have a great day!

these are all of my points PLZZZZZZZ HURRRRRRY PLZZZZZZZZ FIRST ONEE TO ANSWER GETS BRAINLIEST The table below lists the masses and volumes of several pieces of the same type of metal. There is a proportional relationship between the mass and volume of the pieces of metal. Determine the mass, in grams, of a piece of metal that has a volume of 18.5 cubic centimeters.

Answers

Answer:

11.7

Step-by-step explanation:

1111111938338388383828

Answer:

157.62

Step-by-step explanation:

I took the mass(g) of 34.932 and divided it by the volume of 4.1

[tex]\frac{34.932}{4.1} =8.52[/tex]

To prove that this was correct I did the same thing for the next row

[tex]\frac{47.712}{5.6} =8.52[/tex]

I took 8.52 and multiplied it by the volume of 18.5 to get the mass.

[tex]8.52*18.5=157.62[/tex]

The mass is 157.62

hope this helps! :))

Measure the length of 2 peoples feet and their forearms. Help i need quickly so i can create a math equation. Measurements must be in inches.

Answers

Answer:1+1=2

yfgvhuwytfuyio

Step-by-step explanation:

Answer:

Dang, you said that you use brainly only to help people and that you don't ask questions :/

Step-by-step explanation:

Find the value of x in the triangle shown below

X= ??

Answers

Answer:

93

Step-by-step explanation:

add 56+31 which give you 87

subtract 87 from 180 (180-87)

and you get 93 for x

Answer:

93

Step-by-step explanation:

56+31=87

180-87=93

PLEASE HELP WILL GIVE BRAINLIEST!!!!
NEED THIS ASAP

Answers

Just divide both sides by -2/3, youll get x=-51

Answer:

divide by -2/3 you will get -51

i believe :)

Step-by-step explanation:

PLZ HELP ME ILL GIVE BRAINLEST!!!

Answers

Answer:

C has no slope

Step-by-step explanation:

A recipe uses 3 eggs for every 8 cups of flour. What is the ratio of eggs to flour in the recipe?
8 to 3
StartFraction 3 over 8 EndFraction
3 to 11
8:3

Answers

Answer:

3 to 8

Step-by-step explanation: It cannot be further simplified so 3 eggs to 8 cups or 3:8 ratio

Which inequality represents the situation “the temperature should be at least 40 degrees"?

Answers

The answer is G

Explanation:

Write an equation in slope-intercept form for the line that passes through the given point.

(3, -3) slope 3

Answers

Answer:

y=3x-12

Step-by-step explanation:

whats 2 plus 2 you get 100 points

Answers

Two plus two is four :)

Thanks for the points!

Answer:4

Step-by-step explanation:

howdy

x/8+3=12 what is the answer to this question​

Answers

Answer:

x= 72

Step-by-step explanation:

(01.01 MC)Why is 3 + (−5) equal to −2? Because it is 5 units to the left of 0 on a horizontal number line Because it is 5 units to the right of 3 on a horizontal number line Because it is 5 units to the left of 3 on a horizontal number line Because it is 5 units to the right of 0 on a horizontal number line

Answers

Answer:

C. Because it is 5 units to the left of 3 on a horizontal number line

Step-by-step explanation:

Directed numbers are numbers which has direction i.e either a negative or positive sign before it. This implies that all numbers are directed, since a number without a sign is taken to be positive.

Thus from the given expression,

3 + (-5) = 3 - 5

           = -2

So that,

3 + (-5) = -2

Expressing this on the number line, -2 is 5 units to the left of 3. Thus option C is appropriate.

Alicia is training for a race. She swims 1/4 lap in 2/3 of a minute. At that
rate, how many minutes does it take Alicia to swim each lap?

Answers

Answer:

2.66667 minutes

Step-by-step explanation:

2/3 of a minute is 40 so 40s times 4 equals 160s

PLEASE ANSWER ASAP!! THIS IS DUE RLLY SOON :)

Answers

I think the answer is the first one

7|3y – 4|– 8 = 48
Please help!

Answers

Answer: y=4 or y= 4 over 3

Step-by-step explanation:

Answer:

y=4

Step-by-step explanation:

which of the following would produce a larger image ?
a.2/3
b.1 1/2
c.1/2
d.1/2

Answers

Answer:

1 1/2

Step-by-step explanation:

Can someone show me how to do it step by step solving for x,y and z

Answers

Z is 25, x is 74, and y is 37

Step-by-step explanation:

X+106=180 [(being cointerial angle]

or, X=180-106

or,X=74

therefore,X=74

2y=X=74[being corresponding angle]

X+(4z+6)=180[being exterior cointerior angle]

or, 74+6+4z=180

or,4z=180-80

or,4z=100

or,z=100/4

or,z=25

Which equation is equivalent to 2x + 40 = 10?

Answers

Answer:

x+2=12

x-1=11

10x=100

2x=20

Step-by-step explanation:

Answer:

x+2=12

x-1=11

10x=100

2x=20

Step-by-step explanation:


HELP PLZ NO ONE WANTS TO HELP MR PLZ HELP DUE IN 15 MINUTES

Answers

Answer:

no its not a function

Step-by-step explanation:

Answer:

It is not a 1 to one function

A bank has a savings rate of 6% simple interest per year. If a customer deposited $4,000 in a new account and does not add or withdraw any money to the account, how much simple interest will the customer make in 4 months?

Answers

Answer: The customer will make $80 as interest in 4 months.

Step-by-step explanation:

Given: Deposited amount : P = $4000

Rate of interest per year : r= 6% =0.06

Rate of interest monthly = [tex]\dfrac{r}{12}=\dfrac{0.06}{12}=0.005[/tex]

Time = 4 months

Simple interest = principal x rate of  interest x time

[tex]=4000\times 0.005\times 4=80[/tex]

hence, the customer will make $80 as interest in 4 months.

What is the Area, in Square Inch's of this figure PLEASE HELP I WANT TO SLEEP

Answers

Answer:

60

Step-by-step explanation:

This shape can be divided into a rectangle and a right triangle.

rectangle: l x w = 8 x 6 = 48

triangle: .5bh = .5 x (12-8) x 6 = 12

48 + 12 = 60 square units

hope this helped!

Please help me with this!!!!!!

Answers

Answer:

63-$+

Step-by-step explanation:

g lpreeeeeeeee3eeeere

Can someone help me solve this and please show work

Answers

Answer:

a.70°

b.125°

c.125°

Step-by-step explanation:

ans respctively a,b,and c

What's 0.32*10^-12 in scientific notation ​

Answers

Answer:

3.2 × 10^-13

Step-by-step explanation:

Find the value of x in the triangle below

Answers

Answer:

x=39

Step-by-step explanation:

180-102=78

78/2=39

Answer:

x=39

Step-by-step explanation:

180-2x=102

-2x=-78

x=39

EMERGENCY! Please give me the correct answer!​

Answers

Answer:

1 is the correct answer

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