PLSSS HELP!! I'LL GIVE BRAINLIEST IF RIGHT Which is the equation of a parabola with a directrix at y = 2 and a focus at (5, 0). A) y = one fourth(x − 5)2 + 1 B) y = one fourth(x + 1)2 − 5 C) y = −one fourth(x + 1)2 − 5 d) y = −one fourth(x − 5)2 + 1

Answers

Answer 1

Answer:

The answer is below

Step-by-step explanation:

A parabola is the locus of a point such that its distance from a given line (directrix) and a fixed point (focus) is always the same.

The equation of a parabola with a horizontal line as directrix is given by:

(x - h)² = 4p(y - k)

where y = k - p is the directrix and the focus = (h, k + p)

Given that parabola has a directrix at y = 2 and a focus at (5, 0)

Therefore:

y = k - p

k - p = 2          (1)

focus = (h, k + p) = (5, 0)

h = 5, k + p = 0

k + p = 0         (2)

Solve equation 1 and 2 simultaneously by adding both equations together:

2k = 2

k = 1

Substitute k = 1 in k + p = 0 to find p:

1 + p = 0

p = -1

Therefore h = 5, p = -1 and k = 1

Substitute the values of h, k and p into the equation of a parabola:

(x - h)² = 4p(y - k)

(x - 5)² = 4(-1)(y - 1)

(x - 5)² = -4(y - 1)

x² - 10x + 25 = -4y + 4

-4y = x² - 10x + 21

4y = 10x - x² - 21


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Answer:

141

Step-by-step explanation:

because i have the answer key

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Answer:

y is your answer

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x is there for x

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Step-by-step explanation:

It’s Y hopefully this helps you!!

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Answers

Answer:

Maybe  -3

Step-by-step explanation:

I am not 100% sure but it is better than nothing,

since 3+3=6 I think after 3 is 6, and after 6 is 9. I think that because the more right the line goes you add  3 to every move. So therefore, 3-3=0, and 0-3= -3

Hope this helps. Also, I hope I gave you the correct answer.

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Answers

2y-x=-8
2y=x-8
y=1/2x-4 is the slope intercept form

Rewrite in slope-intercept form.
10x + 2y = 8
Enter your answer in the form y=mx+c
Simplify your answer if possible using integers or simplified fractions. Example: y=3/4x-2
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Answers

Answer:

y = -5x + 4

Step-by-step explanation:

Solve for y

10x + 2y = 8

2y = -10x + 8

y = (-10x)/2 + 8/2

y = -5x + 4

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Answer:

Please leave more information.

Step-by-step explanation:

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Answers

Answer:

[tex] {x}^{3} \sqrt{x} [/tex]

Step-by-step explanation:

hope it helps ☺️

suggestions : Photomath application

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Answers

Answer: 1, 0

Step-by-step explanation: Logarithm base x of x is 1 and Logarithm base x of 1 is 0.

The positive values of x so here the value of [tex]log x ^x[/tex] should always be 1 and the value of [tex]log x ^1[/tex] should be 0 .

What is a Logarithm base?

It is the function where the log , base a of the x. It shows the inverse of the exponential function so here the exponential form be used.

So we can conclude that The positive values of x so here the value of [tex]log x ^x[/tex] should always be 1 and the value of [tex]log x ^1[/tex] should be 0 .

Hence, the above answers are correct.

Learn more about values here: https://brainly.com/question/20347857

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Answers

Answer:

The company has 70 falvors

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O A y = 100(31)
O B. y = 1 (3.1)
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Answers

Answer:

The function y = 10(0.13)ˣ represents exponential decay.

Hence, option C is the correct function.

Step-by-step explanation:

We know that an exponential function is of the form

y = abˣ

where 0 < b < 1

Please note that an exponential function cannot have a base of 0, 1, or a negative value.

Now, if we carefully observe, the function y = 10(0.13)ˣ is the only option correct as

here 0 < b < 1 and a > 0

Therefore, the function y = 10(0.13)ˣ represents exponential decay.

Hence, option C is the correct function.

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Answers

Answer:

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Answer:

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Answers

Answer:

2.25 m/s

Step-by-step explanation:

Looking at the graph, we observe that the interval CD is when the speed was the fastest

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Answer:

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Answer:

32,472 is the correct answer

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Answers

Answer: 50 feet

Step-by-step explanation:

Let the length be represented by x

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0.8x² = 2000

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Answers

Answer:

37 minutes. :))

Step-by-step explanation:

Which represents the decimal 0.071
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Answers

Answer:

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Step-by-step explanation:

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Answers

10 different ways.....

Answer:

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Step-by-step explanation:

Formula:

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Answers

Answer:

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Step-by-step explanation:

(4x - 4) + (2x + 2)

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Answers

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Step-by-step explanation:

EASY ALGEBRA! HELP PLEASEEE <3

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Answers

v^2-14v+_49_
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Answers

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The Answer is:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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