write and equation of a parabola with the vertex of (0,3) and the focus of (-8,3)

Answers

Answer 1

Answer:

(y-3)²= -32x

Step-by-step explanation:

1) the required equation has a form: (y-y₀)²=-2p(x-x₀), where (x₀;y₀) - vertex (0;3), p - parameter of the given parabola;

x₀=0; y₀=3.

2) according to the conditiion F(-8;3)=F(x₀+p/2; y₀), it means (x₀+p/2; y₀)=(p/2;3), then p/2= -8; ⇒ p= -16.

3) finally, p= -16; x₀=0; y₀=3, then it is possible to make up the required equation:

(y-3)²= -32x.

PS/ if it is possible check the suggested solution in other sources.


Related Questions

Karen has two dogs. The larger dog weighs 1.4 pounds more than the
smaller dog. The combined weight of the two dogs is 12.6 pounds. What is
the weight, in pounds, of the smaller dog? Only type in a numeric
response.

Answers

The answer is 11.2 pounds.

Answer:

11.2

Step-by-step explanation:

Hellooooooo I need help with this !!!!!

Answers

Answer:

c. 270m^3

Step-by-step explanation:

To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height.

6×5×9

30×9

270

PLEASE HELP ITS MATH THANK YOUUUU

Answers

Answer: The actual gym is 120 feet long.

Explanation:
24 * 5 = 120

In the fourth grade at Jefferson elementary School, there are 125 students. In the fifth grade, there are 136 students. How many total students are there in fourth and fifth grade?

Answers

answer is 261

Step-by-step explanation:

add both numbers together

WILL GIVE BRAINLIEST, EXTRA POINTS, THANK YOU, AND STARS!!!

Answers

Answer:

162kph (i think, sorry if im wrong)

Which means 486km in 3 hours....

Step-by-step explanation:

Hope this helps!

36. Is 12 a divisor of 48?

Answers

Yes it would be a divisor

Answer:

yes

Step-by-step explanation:

a divisor is a number that you use to divide another one. 48 divided by 12 is 4. Therefore, 12 is a divisor of 48

Given j ∥ k and m∠2=100° .

What is m∠5 ?

Enter your answer in the box.

Answers

Answer:

∠5 = 80

Step-by-step explanation:

∠4 =  ∠2         {Corresponding angles are equal}

∠4 = 100

∠5 + ∠4 = 180 {linear pair}

∠5 + 100 = 180

          ∠5 = 180 - 100

         ∠5 = 80

Given
mZLON = 77°
mZLOM = 9x + 44°
mZMON = 6x + 3°
Find mZMON:

Answers

Answer:

FVRF

Step-by-step explanation:

Write the equation in standard form.
y+ 7= -3/2 (x+1)

Answers

Answer:

2y + 3x = -17

Step-by-step explanation:

standard form is Ax + By = C

first step is to distribute -3/2 among 'x' and then by 1 to get:

-3/2x - 3/2

you now have y + 7 = -3/2x - 3/2

we want to get the -3/2x term on the same side as 'y' and get 7 from the right side to the left side

we want to add 3/2x to the left side of the equation because it is being subtracted:

y + 3.2x + 7 = -3/2

now we want to subtract 7 to the right side because it is currently being added:

y + 3/2x = -7 3/2

we can convert -7 3/2 to be -17/2

we now can eliminate the denominator of 2 in the 'x' term by multiplying each term by 2 to get:

2(y + 3/2x) = -17/2(2)

distribute and simplify to get:

2y + 3x = -17

pls help me I'll give brainlest and points​

Answers

Answer:

See below.

Step-by-step explanation:

a.

O is the origin, so its abscissa is 0. O: 0

The only point 4 units from O is A, so A: 4

Point C has a positive abscissa like A.

Points B and C have opposite abscissas. The only opposites are -3 and 3, but C is positive, and B is negative.

B: -3

C: 3

D: -4.5

E: -6

M = (4 + (-6))/2 = -1. M: -1

b.

OB = |0 - (-3)| = |3| = 3

DA = |-4.5 - 4| = |-8.5| = 8.5

I need help I don’t understand

Answers

Answer: not much help i can barley see the paper

Step-by-step explanation:

Indicated operation? Perform it?

Answers


98

First you do the exponents.

11^2 = 121

-3^3 = -27

2^2 = 4

So now we have 121 - 27 + 4

And you just go left to right now

121 - 27 = 94

94 + 4 = 98

So the answer is

98

Hope this helps

The Leibnitz notation for the chain rule is
(1 point) Suppose y = sin(x2 - 4x). We can write y = sin(u), where u =
dy dy du
dy
du
The factors are
(written as a function of u ) and
dx du dx
du
dx
x for u to get
Now substitue in the function of
=
dy
dx
(written as a function of x ).

Answers

For this derivative, you could set

[tex]\boxed{u = x^2 - 4x}[/tex]

Then

[tex]y = \sin(x^2-4x) = \sin(u)[/tex]

so that

[tex]\boxed{\dfrac{\mathrm dy}{\mathrm du} = \cos(u)}[/tex]

and

[tex]\boxed{\dfrac{\mathrm du}{\mathrm dx} = 2x - 4}[/tex]

Then the chain rule gives

[tex]\dfrac{\mathrm dy}{\mathrm dx} = \dfrac{\mathrm dy}{\mathrm du}\dfrac{\mathrm du}{\mathrm dx} \\\\ \dfrac{\mathrm dy}{\mathrm dx} = \cos(u)(2x-4) \\\\ \boxed{\dfrac{\mathrm dy}{\mathrm dx} = (2x-4)\cos(x^2-4x)}[/tex]

what is the value of the function when x = 0? ​

Answers

Answer:

f(0) = -2.

Step-by-step explanation:

This question pertains to the y-intercept. By definition, the y-intercept is the point on the graph where it crosses the y-axis, and has coordinates, (0, b). It is also the value of y when x = 0.  Looking at the graph, the point where the line crosses the y-axis is (0, -2). The y-coordinate is the y-intercept, b.

Therefore, the value of the function when x = 0 is: f(0) = -2.

Find the area and perimeter.
5.6 cm

please help!!!!

Answers

Answer:

31.36cm; 22.4cm

Step-by-step explanation:

hope this helps

Answer:

31.36 cm^2,     22.4 cm

Step-by-step explanation:

Area of the square is a^2 = (5.6)^2

= 31.36 cm^2

Perimeter of a Square = 4s

= 4(5.6)

=22.4 cm

write the equaion of a line in slope-intercept form if the slope is 1/5 and the y-intercept is -9 explain please

Answers

Answer:

[tex]y = \frac{1}{5} x - 9[/tex]

Step-by-step explanation:

The slope-intercept form is y = mx + b, where:

m = slope

b = y-intercept.

The slope (m) tells you the steepness of the line. It is the average rate of change which measures how the y-value changes for each one-unit change in the x-value. Hence, slope [tex]= \frac{rise}{run}[/tex].  So the given slope of 1/5 means that for every 1 unit change in the y-value, the x-value changes by 5 units (you go up 1 unit, and "run" 5 units to the right).

Next, the y-intercept is the point on the graph where it crosses the y-axis, and has the coordinates, (0, b). It is also the value of y when x = 0. Since you're given the y-intercept of -9, then that means that it is the y-coordinate of (0, b). So, it becomes (0, -9).

Now that we have our slope (m ) = 1/5, and the y-intercept (b ) = -9, we can write the equation of the line as:

[tex]y = \frac{1}{5} x - 9[/tex]

(I'm also including a screenshot of the line where it shows the y-intercept of (0, -9) on the graph).  

Please mark my answers as the Brainliest if you find my explanations helpful :)

4p - 3=17
Please help

Answers

Answer:

hey there,

4p=17+3p=20/4So now p=5

Step-by-step explanation:

#BEBRAINLY

Answer:

5

Step-by-step explanation:

17+3=20

4×5=20

20-17=3

104 18/ 25 divided by 29 7/10

Answers

Answer:

Exact form = 476/135

Decimal form = 3.5259

Mixed Number form = 3 71/135

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors.

Hope this helps. Please mark as brainlist

12 1/2, 3 3/4 what is the distance between the two

Answers

Answer:

Estimate the following (by rounding off to nearest hundred (a)6,941 (b)6,320 (c) 416 (d)126 (e)109 (f)202 (g) 146 (h)7,699 (I)8,311 (j)986

Step-by-step explanation:

Answer: 8 3/4

Explanation:
12 1/2 can be written as 12 2/4. One way of solving this problem is to convert each value into an improper fraction and then subtract.

12 2/4 = 50/4
3 3/4 = 15/4

50/4 - 15/4 = 35/4
35/4 can be simplified into 8 3/4

Which expression does not have a solution of 9, if w = 4? 5 + w w + 5 13 - w 5 - w

Answers

Answer:

5 - w does not have a solution of nine.

Step-by-step explanation:

5 - 4 = 1

what is the square root of ten

Answers

Answer:

3.16227766017 is the answer

Answer: 3.16227766017

Step-by-step explanation:

Or you could round and get 3.2 or 3.16

NO LINKS PLEASE HURRY I REALLY NEED HELP

Answers

Answer:

The choice;

[tex] - 1.45x - 3.41[/tex]

I hope I helped you^_^

Answer:

[tex]3.81x - 5.26x - 4.94 + 1.5 = \\ = - 1.45x - 3.41[/tex]

Question
Find an equation for the line passing through (2, -1) with a slope of 5/2

Answers

Answer:

y=52x+b.

Step-by-step explanation:

since point (2,1) satisfies the equation.

what would the coordinates (10,-3) lie on?

Answers

(10,-3) is on the IV plan :)

Find the length of the curve.

Y= x^5/6 + 1/10x^3

X is greater than or equal to 1 but less than or equal to 4

Answers

Answer:

wag na natin balikan si ex kalimutan na natin yun

I will mark brainlist please help!!


1) in a dilation of a figure, the distance between two consecutive vertices does not change

• true

• false


2) the coordinates of the vertices of a triangle JKL are J (4,8) K (8,8) L (4,2). Find the coordinates of the vertices of the image after a dilation by K = 0.25


• J (2,1) K (2,2) L (1,2)

• J (-2,1) K (4,2) L (1,0.5)

• J (1,2) K (2,2) L (1,0.5)

Answers

true and the first one

what is the product of -6 and -54

Answers

Answer:

324

Step-by-step explanation:

- 6 × - 54 = 324

Note : -

When a negative number multiplied with another negative number, its result is a positive number.

Hello your answer is gonna be 324












M

Please help screenshot attached have 1 hr 30 mins

Answers

Answer:

$202.80

Step-by-step explanation:

y=0.08x+1/20

x=2520

y=0.08x+1.20

0.08*2520+1.20

201.6+1.20

$202.8

Evaluate a1 (r)^n-1 for a1 = 2, r= 3, and n = 4.
A. 216
B. 18
C. 32
D. 54

Answers

Answer:

[tex]54[/tex]

Step-by-step explanation:

[tex] a_1 {r}^{n - 1} \\ 2 \times {3}^{4 - 1} \\ 2 \times {3}^{3} \\ 2 \times 3 \times 3 \times 3 \\ 2 \times 9 \times 3 \\ 18 \times 3 \\ = 54[/tex]

Hope this helps you.

Let me know if you have any other questions :-):-)

Using the formula below, find F, when f = 1000 and r = 8

Give your answer as a decimal number.

Answers

Answer: 15.625

Step-by-step explanation:

F = 1000/(8^2) = 1000/64 = 15.625

Answer:

F = 15.625

Step-by-step explanation:

This question may look quite tricky because of the square number, and fraction, but it is actually quite simple when you break it down.

To calculate this question we need to substitute the number 1000 (because we are told this is f) into where f is in our equation. Our new equation is F=1000/r^2.

Next, we need to substitute the number 8 (because we are told this is r) into where r is in our equation. Our new equation is F=1000/8^2.

At this stage, it is just a matter of putting this information directly into a calculator to find F. The answer we get is 125/8, and to get this is into decimal form, we just divide 8 by 125, and the answer is 15.625. This is our final answer.

I have attached a photograph of this calculation written down.

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