what is the equation of the parabola?

What Is The Equation Of The Parabola?

Answers

Answer 1
It Given the focus (h,k) and the directrix y=mx+b, the equation for a parabola is (y - mx - b)^2 / (m^2 +1) = (x - h)^2 + (y - k)^2.

Related Questions

Solve the equation and enter the value of x below. 5 + 10(x-10) = -15​

Answers

Answer: x = 9.

Step-by-step explanation: Plug in 9 as x.

5+10(9-10) = -15

= 15(-1)

= -15

Hence, x = 9.

8. Find an equation in standard form for the ellipse with the vertical major axis of length 16 and minor axis of length 4

Answers

Hello,

If center is (0,0)

x²/a²+y²/b²=1 for a half horizontal axis of a, and a half vertical axis of b

Here

a=2 ==> a²=4

b=8 ==> b²=64

[tex]\boxed{\dfrac{x^2}{4}+ \dfrac{y^2}{64}=1}\\[/tex]

convert 0.25151 to a fraction

Answers

Answer:

25151/100000

Step-by-step explanation:

4x+7=15x-1-3x
Solve for x plss

Answers

Answer: x=1

Step-by-step explanation:

4x-12x=-1-7

-8x=-8

The two triangles below are congruent. Which of the following are congruent by CPCTC?

Answers

Answer:

B.

Step-by-step explanation:

If you put the second triangle upright then turn it over (as if you were flipping a pancake). That would make B equal to R.

C would equal S

A would equal T

and

B would equal R

Answer:

b = R,  mark me brainiest cause we besties

Step-by-step explanation:

so I have 40 dollars and i am buying 10$ gift card so how many 10$ gifts cards can I buy?​

Answers

Answer:

4 gift card

Step-by-step explanation:

40 dollar /gift card price 10

=4

Answer:

4 dollar gift card

Step-by-step explanation:

40÷10=4

4 dollar gift card

Finish solving the system of equations.

x – 5y = 6

–x + 2y = –3

–3y = 3

What is the value of y?


Substitute the value of y back into one of the original equations to find the value of x. What is the value of x?

Answers

Answers:  x = 1 and y = -1

Explanation:

Start where your teacher left off, which is -3y = 3.

We solve for y by dividing both sides by -3

That turns -3y = 3 into y = -1

Then we use this y value to find x

x - 5y = 6

x - 5(-1) = 6

x + 5 = 6

x = 6-5

x = 1

The solution is (x,y) = (1, -1)

Answer:

-1,1

Step-by-step explanation:

If AABC IS REFLECTED across the y axis what are the coordinates of A

Answers

Answer:

A. (-1, 3)

Step-by-step explanation:

When reflecting across the y-axis: (x, y) ⇒ (-x, y).

Therefore, A(1, 3) ⇒ A'(-1, 3).

Solve for x: 5x - 3 = 10

Answers

Answer:

5x - 3 = 10

5x = 13

x = 13 / 5

x = 2.6

Step-by-step explanation:

Solving for x:-

<> 5x = 10 + 3

<> 5x = 13

<> 5x ÷ 5 = 13 ÷ 5

<> x = 2.6

The Brady & Matthew Camera Company has just come out with their newest professional quality digital camera, the ToughPix1. The company is selling this camera only through its new mobile app at a profit of $221 per camera. This purchase comes with a guarantee that, barring gross negligence, if the camera breaks in the first two years after purchase, Brady & Matthew will replace it free of charge. Replacing a camera in this way costs the company $4900. Suppose for each ToughPix1 there is a 3% chance that it will need to be replaced exactly once, a 2% chance that it will need to be replaced exactly twice, and a 95% chance that it will not need to be replaced.

Answers

Answer:

Brad & Matthew can expect to lose money from selling these cameras of -$122

Step-by-step explanation:

Calculation to determine if it should expect to make or lose money from selling them and How much?

First step is to calculate the expected costs

Expected costs= (0.03* $4900 ) + (0.02* $4900 * 2)

Expected costs=$147+$196

Expected costs=$343

Now let determine the amount of profit or Loss that the company will be making in the long-run on each camera sold

Expected Profit or loss =($221-$343)

Expected Profit or loss =-$122

Therefore it Should expect to LOSE money from selling them of the amount of -$122

Which table represents a linear function that has a slope of 5 and a y-intercept of 20?

Answers

Answer:

[tex]y = 5x + 20[/tex]

Step-by-step explanation:

Given

[tex]m = 5[/tex] -- slope

[tex]c = 20[/tex] --- y intercept

Required

The table

No options are given. So, I will just work on the equation.

The linear equation of a function from the slope and the y intercept is:

[tex]y = mx + c\\[/tex]

Substitute values for m and c

[tex]y = 5x + 20[/tex]

According to Class 8 please solve

Answers

Answer:

a) Rs 22

b) 4 liter

hope it helps

Answer:

cost of 2 3/4 litre milk is 60 1/2

first we in number from fractions

Step-by-step explanation:

cost of 2 3/4 litre milk is 60 1/2

first we in number from fractions

11/2 litre = 5.5 litre

RS 121/2 = 60.5

5.5 litre milk = Rs 60.5

(i) 1 lire milk = 60.5/5.5 = 11

(i)  1 litre milk rate is Rs 11

(ii) 1 litre  = Rs 11      , Rs 88 = 88/11 litre        , 8 litre

(i) part answer   = Rs 11

(ii) part Answer = 8 litre milk

In the diagram below, OP is circumscribed about quadrilateral ABCD. what is the value of x?

Answers

Answer:  B) 50 degrees

This is because the opposite angles of any inscribed quadrilateral (aka cyclic quadrilateral) are always supplementary. So x+130 = 180 solves to x = 50.

If OP is circumscribed about quadrilateral ABCD then the value of x is 50 degrees, Option B is correct.

What is Quadrilateral?

A quadrilateral is a four-sided polygon, having four edges and four corners.

A quadrilateral is inscribed insider a circle with centre p.

ABCD is a quadrilateral

We have to find the value of x.

As we know that the sum of the opposite side measures is 180 degrees.

m∠A + m∠C = 180

x + 130 =180

Subtract 130 from both sides

x = 180-130

x= 50 degrees.

Hence, if OP is circumscribed about quadrilateral ABCD then the value of x is 50 degrees, Option B is correct.

To learn more on Quadrilateral click:

https://brainly.com/question/29934440

#SPJ7


At her gym, Ximena spends 30 minutes on each
aerobic workout and 20 minutes on each
weight-lifting workout. Last week, Ximena spent
between 190 and 230
minutes, inclusive, on 3 aerobic
workouts and w weight-lifting workouts. What is
one possible value of w?

Answers

Answer:

28o

Step-by-step explanation:

Fill in the missing numbers.
0, 1, 5 ,4 ,...., 12 ,.....​

Answers

Answer:

the answer is 0,1,2,3,4,5,6,7,8,9,10,11,12,13,14, etc........

0,1,2,3.... is a whole number

1,2,3,4.......is a natural number

Find the value of n.
PLEASE HELP ASAP!

Answers

Answer:

d .9

Step-by-step explanation:

n^2-3 = 2×39 (line joining midpoints is half of third line )

n^2 = 78+3

n^2 =81

n =9

Determina el centro,radio y gráfica de la circunferencia:(x+2)2 + (y-3)2=121

Answers

Answer:

La ecuación genérica para un círculo centrado en el punto (a, b), de radio R, es:

(x - a)^2 + (x - b)^2 = R^2

Entonces si miramos a nuestra ecuación:

(x + 2)^2 + (y - 3)^2 = 121

Tendremos el centro en:

(-2, 3)

el radio está dado por:

R^2 = 121

R = √121 = 11

La gráfica de esta circunferencia se puede ver en la imagen de abajo.

Can someone please help with this problem

Answers

Answer:

f(x)=-3(x+2)^2-2

Step-by-step explanation: the the FX graph the -3 in my equation represents the decrease(for being negative) in the graph, the positive 2 represents the x axis if that number is positive the negative 3 is going to change the x axis then will end up being negative which is why the x starts off in negative 2, the last number represents the y axis if the y axis is negative 2 the y will start off at -2

Please decide !!!!!!

Answers

A + B + C = 13

Starting from the top and going horizontally the missing numbers are:
18, 3, 1, 9, 7, 6, 2, 8, 16, 4, 15, 10

The sum of 1+2+3+...+18+19 = 190
There are 5 vertical lines (3,4,5,4,3 in each) so each line has to add to 190 / 5 = 38

Write an algebraic expression for each word phase 9 less than x 6 minus f t multiplied by 6 one half of a number n

Answers

Answer:

9 < x

6 - f

t × 6

1/2n

Step-by-step explanation:

Given expressions:

9 less than x

Less than (<)

9 less than x = 9 < x

6 minus f

Minus (-)

= 6 - f

t multiplied by 6

Multiplication (×)

= t × 6

one half of a number n

One half = 1/2

one half of a number n

= 1/2 × n

= 1/2n

= n/2

Instructions. Find the Area Of the square




Wrong answer Report

Right answer Heart​

Answers

Question:

Find the Area Of the square.

Answer:

19.ans> Given,

Side = 9 m

To,find: Area

We,know that,area of the square is = (side)²

We,know that,area of the square is = (side)² = 9×9

We,know that,area of the square is = (side)² = 9×9 = 81 m

20.ans> Given,

Side= 7 cm

We,know that,area of the square is = (side)²

We,know that,area of the square is = (side)² = 7 × 7

= 49 cm

Hope it helps you

Bye

Solve |x +6| – 7 = 8.

Answers

Answer:

[tex](x + 6) - 7 = 8[/tex]

[tex]x + 6 - 7 = 8[/tex]

[tex]x - 1 = 8[/tex]

[tex]x = 8 + 1[/tex]

[tex]x = 9[/tex]

help and I'll follow you ​

Answers

Answer:

12 nickels and 9 dimes

Step-by-step explanation:

1/ We have: n + d = 21 <=> d = 21 - n or opposite (n = 21 - d)

2/ We have: 0.05n + 0.10d = 1.50 and then we will put 1/ into 2/

=> 0.05n + 0.10(21 - n) = 1.50

=> 0.05n + 2.1 - 0.1n = 1.5

=> -0.05n = -0.6

=> n = 12

Nevertheless, d = 21 - n = 21 - 12 = 9

Michelle did a survey in four butterfly parks and wrote the following observations:

Answers

Answer:

A. 55%

Step-by-step explanation:

First we should make these into fractions

A. 33/60

B. 36/78

C. 40/89

D. 24/59

these are the fractions, The question wants us to pick the Park with the Greatest Percentage, Not The Greatest Amount, so Lets look at these fractions A. 33/60 Is 55%   B. 36/78 is  46% .   C. 40/89 is 44%   D. 24/59 is about 40%

I also remember doing this on a quiz!!

If f(x)=3x^(2)+1 and G(x)=2x-3 what would f(f(x))

Answers

Answer:

f(f(x)) = 27[tex]x^{4}[/tex] + 18x² + 4

Step-by-step explanation:

To find f(f(x)) substitute x = f(x) into f(x) , that is

f(3x² + 1)

= 3(3x² + 1)² + 1 ← expand parenthesis using FOIL

= 3(9[tex]x^{4}[/tex] + 6x² + 1) + 1 ← distribute parenthesis by 3

= 27[tex]x^{4}[/tex] + 18x² + 3 + 1 ← collect like terms

= 27[tex]x^{4}[/tex] + 18x² + 4

Hello,

[tex](fof)(x)=f(f(x))\\\\=3(3x^2+1)^2+1\\\\=3(9x^4+6x^2+1)+1\\\\\boxed{=27x^4+18x^2+4}[/tex]

Write a expression to represent each situation

Olivia bought 8 bags of fruit at the farmer's market. She put
a apples and b bananas in each bag.

Answers

Step-by-step explanation:

number of bags=8bags

which is the fruits=apples and bananas

total number of apples and bananas bag = 4 bag of each

a + b = 8

a is apples and b is bananas.
the total number of bags of fruit is 8

need an answe asap! ​

Answers

Answer:

1. x = 54, y = 114,

missing angles => 66° and 114°

2. x = 42, y = 14,

Missing angles => 84°, 86°

3. x = 40, y = 50

Missing angles => 105°, 75°

Step-by-step explanation:

1. y° = 114° (corresponding angles are congruent)

(x + 12)° + y° = 180° (linear pair angles)

Substitute

x + 12 + 114 = 180

x + 126 = 180

Subtract 126 from each side

x = 180 - 126

x = 54

✔️Find the missing angles by plugging in the values of x and y in each case

(x + 12)° = 54 + 12 = 66°

y = 114°

2. ✔️Find x:

(2x)° + 96° = 180° (consecutive interior angles are supplementary)

Subtract 96 from each side

2x = 180 - 96

2x = 84

x = 84/2

x = 42

✔️Find y:

(3y + 44)° + 94° = 180° (consecutive interior angles are supplementary)

3y + 44 + 94 = 180

3y + 138 = 180

3y = 180 - 138

3y = 42

y = 42/3

y = 14

✔️Missing angles:

(2x)°

Plug in the value of x

= 2(42) = 84°

(3y + 44)°

Plug in the value of y

3(14) + 44 = 86°

3.

✔️Find x:

3x - 15 = 105 (corresponding angles are congruent)

3x = 105 + 15

3x = 120

x = 120/3

x = 40

✔️Find y:

(3x - 15)° + (y + 25)° = 180° (linear pair angles are supplementary)

Plug in the value of x to solve for y

3(40) - 15 + y + 25 = 180

120 - 15 + y + 25 = 180

Add like terms

130 + y = 180

y = 180 - 130

y = 50

✔️Missing angles:

(3x - 15)°

Plug in the value of x

3(40) - 15 = 105°

(y + 25)°

Plug in the value of y

50 + 25 = 75°

Which of the following expressions is equal to - x^2 - 36 ?
O A. (-x-6)(x-61)
B. (x +61)(x-6)
C. (-x+6)(x-61)
D. (-X-61)(x+61)

Answers

Answer:

I think the answer is option C

Which of the following is an even function?

Answers

The one you put is actually correct

Please help me out here

Answers

Answer:

vbw-kafw-hxy p.l.e.a.s.e join

Answer:

146 cm²

Step-by-step explanation:

The net is composed of 3 sets of congruent rectangles

top/ bottom + front/ back + sides

SA = 2(9 × 5) + 2(9 × 2) + 2(5 × 2)

     = 2(45) + 2(18) + 2(10)

     = 90 + 36 + 20

     = 146 cm²

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