can someone explain step by step what to do next? I am trying to find the vertex, focus, and directrix of this parabola.
y=2x^2

y=2x^2 im using this equation (x-h)^2=4p(y-k)

y/2=x^2
this is my problem I dont know where to put y/2 in the equation I am using

Answers

Answer 1

Answer:

Hey hi how are you can you be my friend please..

Step-by-step explanation:

And can you give me a fever can you please just marks me as brainliests please..

Answer 2

Answer:

Step-by-step explanation:

Parabola: y=2x²

Let say (a,b) the focus and y=k the directrix.

[tex]formula\ to\ use:\ \boxed{y=\dfrac{(x-a)^2}{2(b-k)} +\dfrac{b+k}{2} }\\\\\left \{\begin {array}{ccc}a&=&0\\2&=&\dfrac{1}{2(b-k)} \\\dfrac{b+k}{2} &=&0\\\end {array} \right.\\\\\\\left \{\begin {array}{ccc}a&=&0\\b-k&=&\dfrac{1}{4} \\b+k &=&0\\\end {array} \right.\\\\\\\left \{\begin {array}{ccc}a&=&0\\b&=&\dfrac{1}{8} \\k &=&\dfrac{-1}{8} \\\end {array} \right.\\\\\\focus=(0,\dfrac{1}{8} )\\\\directrix:\ y=\dfrac{-1}{8}[/tex]


Related Questions

prove (sinxsiny-cosxcosy)(sinxsiny+cosxcosy) =sin^2x-cos^2y

Answers

Step-by-step explanation:

Recall that [tex]\sin^2x + \cos^2x = 1[/tex]

[tex](\sin x \sin y - \cos x \cos y)(\sin x \sin y + \cos x \cos y)[/tex]

[tex]= \sin^2 x \sin^2 y - \cos^2 x \cos^2 y[/tex]

[tex]= \sin^2 x (1 - \cos^2 y) - \cos^2 x \cos^2 y[/tex]

[tex]= \sin^2 x - \sin^2 x \cos^2y - \cos^2x \cos^2y[/tex]

[tex]= \sin^2x - (\sin^2x + \cos^2x)\cos^2y[/tex]

[tex]= \sin^2x - \cos^2y[/tex]

Which expression corresponds to this graph?

Answers

Answer:

C

Step-by-step explanation:

The expression is x>55 and 55 isn't included

Answer:

c

Step-by-step explanation:

The sum of two numbers is 49 and the difference between these two numbers is 9. What are these two numbers?​Shown working out please

Answers

Let numbers be x and y

ATQ

x+y=49---(1)

x-y=9---(2)

Adding both

[tex]\\ \sf\longmapsto 2x=58[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{58}{2}[/tex]

[tex]\\ \sf\longmapsto x=29[/tex]

Now putting value in eq(2)

[tex]\\ \sf\longmapsto x-y=9[/tex]

[tex]\\ \sf\longmapsto 29-9=y[/tex]

[tex]\\ \sf\longmapsto y=20[/tex]

7 (w+8) = 2w+10

What is the value of w makes the equation true? Enter the answer in the box.
Test.mapnwea.org.

Answers

Answer:

w = -46/5

Step-by-step explanation:

Answer:

w=-9.2

Step-by-step explanation:

7(w+8)=2w+10

7w+56=2w+10

7w-2w=10-56

5w=-46

w=-9.2

What is the measure of m?

Answers

Answer:

√245

Step-by-step explanation:

altitude on hypotenuse theorem:

m^2=7*35

m^2=245

m=√245

If f(x) =3x-2 and g(x) = 2x+1, find (f+g) (x)

Answers

Answer:

3x-2+2x+1+X

3x+2x+x-2+1

6x-1

It looks like there is an error on this statement. Please take 15% off of this $123.00 bill.

Answers

Answer:

18.45

Step-by-step explanation:

Divide 15 by 100

Answer: 0.15

Then multiply it by $123.00

0.15 x $123.00 = 18.45

So 15% of 123.00 is 18.45

Check:

15%/100% = 18.45/123.00

Multiply 123.00 x 15

Answer: 1845

Then divided it by 100

Answer: 18.45

The 15 percent-off $123 or 15 percent discount for a item in which the original price is $123 is: $18.45

15 percent-off $123

Using this formula

Amount = Original Price x Discount

Let plug in the formula

Amount= 123 x 15 / 100

Amount = 1845 / 100

Amount = $18.45

Inconclusion the 15 percent-off $123 is $18.45.

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Algebra II Part 1
On your paper, graph these coordinates:
(-1, 1), (-5, 2)
Type the correct equation of the line.
Note: Do not use fractions in your answer.

Answers

Answer:

4y+x-3=0

Step-by-step explanation:

The equation is y=mx+b

1) Use the coordinates from the first point

(-1,1)

1= -m+b

2) Use the coordinates frm the second point

(-5,2) (y=mx+b, use x=-5, y=2)

2=-5m+b

You have the system of equations

1=-m+b (multiply by -1)  -1= m-b

2=-5m+b

Add the first equation (multiplied by -1) and the second one

-1+2= m-b-5m+b

1= -4m

m=-0.25

2=1.25+b

b=0.75

y=-0.25x+0.75

4y= -x+3

4y+x-3=0

of a loaf of brown bread costs R6, how much will 4 halves cost?​

Answers

Answer:

R12

Step-by-step explanation:

Answer: R12

Explanation:

Cost of 1 loaf = R6

Cost of 4 halves = 6/2×4

= 6 × 2

= R12

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There is a pair of x and y values that make each equation true in this system of equations

{5x + 3y = 8
{4x + 7y = 34

Explain why the same pair of values also make 9x + 10y = 42 true.

Answers

Given Equations

5x+3y=8--(1)4x+7y=34--(2)

Let it has solution (x,y)

Add both

[tex]\\ \sf\longmapsto 5x+4x+3y+7y=8+34[/tex]

[tex]\\ \sf\longmapsto 9x+10y=42[/tex]

It will also have same solution (x,y)

The solution of the equations is (-2, 6) which satisfies the equation 9x + 10y = 42.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The system of linear equations is given below.

5x + 3y = 8               ...1

4x + 7y = 34            ...2

From equation 1, then we have

5x + 3y = 8

y = 8/3 - (5/3)x

Put in equation 2, then we have

4x + 7[8/3 - (5/3)x] = 34

12x + 56 - 35x = 102

-23x = 46

x = - 2

Then the value of y is calculated as,

y = 8/3 - (5/3)(-2)

y = 8/3 + 10/3

y = 18 / 3

y = 6

Let's check whether (-2, 6) satisfy the equation 9x + 10y = 42 or not. Then we have

9(-2) + 10(6) = 42

- 18 + 60 = 42

42 = 42

The solution of the equations is (-2, 6) which satisfies the equation 9x + 10y = 42.

More about the solution of the equation link is given below.

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A sample of 45 bottles of soft drink showed a variance of 1.1 in their contents. The process engineer wants to determine whether or not the standard deviation of the population is significantly different from 0.9 ounces. What is the value of the test statistic

Answers

Answer:

The value of the test statistic is 59.75.

Step-by-step explanation:

The test statistic for the population standard deviation is:

[tex]\chi^2 = \frac{n-1}{\sigma_0^2}s^2[/tex]

In which n is the sample size, [tex]\sigma_0[/tex] is the value tested and s is the sample standard deviation.

A sample of 45 bottles of soft drink showed a variance of 1.1 in their contents.

This means that [tex]n = 45, s^2 = 1.1[/tex]

The process engineer wants to determine whether or not the standard deviation of the population is significantly different from 0.9 ounces.

0.9 is the value tested, so [tex]\sigma_0 = 0.9, \sigma_0^2 = 0.81[/tex]

What is the value of the test statistic

[tex]\chi^2 = \frac{n-1}{\sigma_0^2}s^2[/tex]

[tex]\chi^2 = \frac{44}{0.81}1.1 = 59.75[/tex]

The value of the test statistic is 59.75.

Find the diameter of a circle if the area is
153.86m2. Use 3.14 for pi.

Answers

Answer:

-Hello Fatema!

The formula to find out the area of a circle is πd so let's plug the known values and then solve for d [ diameter ] :

[tex] \boxed{ \large{ \tt{✺ \: AREA \: OF \: A \: CIRCLE = \pi \: d }}}[/tex]

[tex] \large{ \tt{⟶ \: 153.86 = 3.14 \: d}}[/tex]

[tex] \large{ \tt{⟶ \: d = \frac{153.86}{3.14} }}[/tex]

[tex] \large{ \tt{⟶d = 49 \: m}}[/tex]

[tex] \large{ \boxed{ \boxed{ \tt{⤿ \: OUR \: FINAL \: ANSWER : \: 49 \: m}}}}[/tex]

Yayy! We're done! Let me know if you have any questions regarding my answer and also , notify me if you need any other help! :)

a mens clothing sore sold out of $50 jackets and $30 jackets for a total of $2360 if the store sold 12 more$30 jackets than$50 jackets how many$50 jackets were sold

Answers

Answer:

25

Step-by-step explanation:

Let x represent the number of $50 jackets that were sold, and let y represent how many $30 jackets were sold.

50x + 30y = 2360

y = x + 12

Solve by substitution by substituting the second equation into the first one. Then, solve for x:

50x + 30y = 2360

50x + 30(x + 12) = 2360

50x + 30x + 360 = 2360

80x + 360 = 2360

80x = 2000

x = 25

So, 25 $50 jackets were sold.

14 over 17 as a decimal rounded to the nearest tenth

Answers

Step-by-step explanation:

14/17 is 0.82352941176

To the nearest tenth is 0.8

Find the value of x.
A. 57
B. 72
C. 90
D. 124

Answers

Answer:

90

Step-by-step explanation:

Angle Formed by Two Chords= 1/2(SUM of Intercepted Arcs)

105 = 1/2 (120+x)

210 = 120+x

Subtract 120 from each side

210-120 = x

90 =x

The value of  Intercepted Arcs x will be 90. so option C is correct.

What is the relation between line perpendicular to chord from the center of circle?

If the considered circle has center O and chord AB, then if there is perpendicular from O to AB at point C, then that point C is bisecting(dividing in two equal parts) the line segment AB.

Or

|AC| = |CB|

Angle Formed by Two Chords= 1/2 (Sum of Intercepted Arcs)

105 = 1/2 (120+x)

210 = 120+x

Subtract 120 from each side;

210-120 = x

90 =x

Hence, the value of  Intercepted Arcs x will be 90. so option C is correct.

Learn more about chord of a circle here:

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HELP ,E P[LE[PAK LIUDGHMLA FsgdfsA FSD

Answers

Answer:

11 is the mean, median,mode

HOW TO FIND THE MODE

Find the number that is seen most often in the dataset.

HOW TO FIND THE MEDIAN

Find the number that's in the middle.

HOW TO FIND THE MEAN

Add all the numbers together. Then, divide by the amount of numbers in the dataset.

Step-by-step explanation:

What is the equation of the graph below?

Answers

Answer:

f(x)=5cos(1/3x) this is an equation

3 coins Priya spends $45 on gas, $10 on dinner, and $8 on a video game. How much money did Priya spend on variable expenses?​

Answers

Answer:

3x=63

Step-by-step explanation:

3 coins means a coin is x and total expenditure is equal to 63

Can some help with the answer please it’s very much needed and apprIeciated

Answers

Answer:

Step-by-step explanation:

Find the area of the figure.

A =

Is it m, m2, or m3

Answers

Answer:

348 m^2

Step-by-step explanation:

The figure is made up of a rectangle 24 m by 12 m, and a triangle with a 24 m base and a 5 m height.

A = LW + bh/2

A = 24 m * 12 m + (24 m)(5 m)/2

A = 288 m^2 + 60 m^2

A = 348 m^2

4x + 8 + 3(x - 2) + 3x ,combining liked terms​

Answers

Answer:

4x+8 +3x - 6 + 3x

10x + 8 - 6

10x + 2

Solve for x: 2x – 1] + 5 < 13 please send help

Answers

Answer:

Step-by-step explanation:

2|x-1|+5 < 13

2|x-1| < 8

|x-1| < 4

-4 < x-1 < 4

-3 < x < 5

Please figure this out and find the measure

Answers

Answer: ME

Step-by-step explanation:

Answer:

166

Step-by-step explanation:

Since the lines are parallel, A=B. 7x+40=3x+112, 4x=72, x=18. A=166

Multiply the binomials. ( 7 x − 12 ) ( 9 x − 8 )

Answers

I hope this helps :]

63x2−164x+96

Answer:

63x² - 164x + 96

Step-by-step explanation:

Use the FOIL method:

7x · 9x = 63x²

7x · -8 = -56x

9x · -12 = -108x

-12 · -8 = 96

63x² - 56x - 108x + 96

63x² - 164x + 96

Can someone help please

Answers

Step-by-step explanation:

a) The volume of the prism is

[tex]V = (n^2 - 1)×(n^2 - 1)×(5n)[/tex]

[tex]\:\:\:\:= (n^4 - 2n^2 + 1)(5n)[/tex]

[tex]\:\:\:\:=5n^5 - 10n^3 + 5n[/tex]

b) If the dimensions L of the prism are tripled, the new volume will be

[tex]V' = (3L)^3 = 27L^3 = 27V[/tex]

so it will increase by a factor of 27.

Evaluate x^-2 (x = -3)

Answers

Hey there!

[tex]\mathsf{x^{-2}}[/tex]

[tex]\mathsf{= -3^{-2}}[/tex]

[tex]\mathsf{= -1 \times 3^{-2}}[/tex]

[tex]\mathsf{3^{-2}}[/tex]

[tex]\mathsf{= \dfrac{1}{3\times3}}[/tex]

[tex]\mathsf{= -1 \times \dfrac{1}{3\times3}}[/tex]

[tex]\mathsf{= -\dfrac{1}{3\times3}}[/tex]

[tex]\mathsf{3\times 3}[/tex]

[tex]\mathsf{= 3^2}[/tex]

[tex]\mathsf{= - \dfrac{1}{3^2}}[/tex]

[tex]\mathsf{3^2}[/tex]

[tex]\mathsf{= 3 \times 3}[/tex]

[tex]\mathsf{= \bf 9}[/tex]

[tex]\mathsf{-\bf \dfrac{1}{9}}[/tex]

[tex]\boxed{\boxed{\huge\text{Answer: }\boxed{\bf - \dfrac{1}{9}}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

There are 10 black balls and 15 red balls in the urn. If you take out a ball, what is the probability that it is black?

Answers

Answer:

nfngkfngmnfjf jvfjkfntfknddjhdhdbdbdb

Answer:

2/5

Step-by-step explanation:

P(black)=10/25=2/5

If p=(3/4)and q=(1/2)find p-2q​

Answers

Answer:

[tex]p - 2q \\ \frac{3}{4} - 2( \frac{1}{2} ) \\ = \frac{3}{4} - \frac{2}{2} \\ = \frac{3}{4} - 1 \\ = \frac{3 - 4}{4} \\ = \frac{ - 1}{4} \\ = - 0.25[/tex]

I hope I helped you^_^

the cost of using 19 hcf of water is $36.48 and the cost of using 32 hcf is 56.63 what is the cost of using 28 hcf of water?

Answers

Answer:

$54.32

Step-by-step explanation:

19=$36.48/19 =1.94

1=$1.94 * 28= 54.32

28=54.32

Which graph represents the solution set for the quadratic inequality x2 + 2x + 1 > 0?

Answers

You need to sole for o and you will get x4 and the graph

howdy!!

yr answer is the third graph!

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