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


Related Questions

3x + 16 = 136

(3 seconds per item, plus 16 seconds to process payment, equals 136 seconds total.)

Subtract 16 from each side. Then divide both sides by 3.

Answers

Answer:

x = 40

Step-by-step explanation:

What is the square root of X with an exponent of 7?

Answers

Answer:

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

Step-by-step explanation:

hope it helps ☺️

suggestions : Photomath application

it will be explained you about how to find solutions.

Write a quadratic function to model the graph. Please help!!

Answers

Answer:

80 because that you need to work on

can someone please help me? it would mean so much to me. thanks a lot!

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.

Louis wants to carpet the rectangular floor of his basement. The basement has an area of 2,000 square feet. The width of the basement is 4/5 its length. What is the length of Louis's basement?

Answers

Answer: 50 feet

Step-by-step explanation:

Let the length be represented by x

The width of the basement is 4/5 its length. Therefore, the width is 4/5x = 0.8x

Area = Length × Breadth

2000 = x × 0.8x

0.8x² = 2000

x² = 2000/0.8

x = ✓2500

x = 50

Therefore, the length is 50feet

What is 123x264 answer fast

Answers

Answer:

theres something call a calculator but anyways lol the answer is 32472

Answer:

32,472 is the correct answer

Which represents the decimal 0.071
A. 71 tenths
B. 71 hundredths
C. 71 thousandths
D. 71 Ten thousandths

Answers

Answer:

c 71 thousandths

Step-by-step explanation:

state if polygons are similar

Answers

Answer:

yea its is

Step-by-step explanation:

A pizza shop can put together 4 pizzas in 12 minutes. What is their production rate in pizzas per hour?

Answers

i’m sure it’s 20 if not i’m sorry

Answer:

I think it'd be 20 pizzas an hour

Step-by-step explanation:

jan takes her dog for a walk.
she leaves her house at 11:40am and returns at 12:17pm.
how long did the walk take?

Answers

Answer:

37 minutes. :))

Step-by-step explanation:

EASY ALGEBRA! HELP PLEASEEE <3

Fill in the blank with a number to make the expression a perfect square.

v²-14v+__

(fill in where the underscore is)
I know the answer is 49, But please just work out the problem!!

Answers

v^2-14v+_49_
2v-14v+49(combine like terms)
12v+49
V=61
I hope its right

Find the slope of the line from a graph. Will give brainliest!!!

Answers

Answer:

2/1 or 2

Step-by-step explanation:

to find the slope you have to calculate the rise over run, do this by picking two spots on the line that go thourgh the corner of a square. then count the amount up the is your rise then the lateral movement, the is your run.

this means the answer is 2/1 that can be simplified to 2.

Which equation represents exponential decay?
O A y = 100(31)
O B. y = 1 (3.1)
C. y = 10(0.13)
D. y = 100(1.03)

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.

Steve’s IQ increases by 0.25% each
day that he attends his algebra class.
After the first day of class, he has
an IQ of 90. What will it be after
attending all 180 classes this year?

Answers

Answer:

141

Step-by-step explanation:

because i have the answer key

What’s the slope of (9,6)
(1,4)

Answers

y= (1, 4) times x + (15, 4)

The Answer is:

8/2=4

you can draw a graph but you can just do (9-1)/(6-4) which equals to 8/4 which can be 4

2y - x = -8
Put it in line slope-intercept simplifying all fractions

Answers

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

what is (4x - 4) + (2x + 2)? (no direct answer.)​

Answers

Answer:

6x -2

Step-by-step explanation:

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

4x + 2x = 6x

-4 + 2 = 2

6x - 2

how do you figure out what the y=mx+b of a equation

Answers

Answer:

y is your answer

m is your rise/run

x is there for x

and b is your negative or positive y-intercept

Step-by-step explanation:

It’s Y hopefully this helps you!!

Plsssssss help meeeeeeeeeeeee I need help

Answers

Answer:

honestly I think its QT

Step-by-step explanation:

hope it helps

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
10x+2y=8

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

Find the scale factor

Answers

Answer:

36/x =48/24

36/x =2

2x= 36

x= 36/2

x=18

Complete the following table for the equation y = 2x + 5

Table: 0. 1. 2. 5. 7.

Pls help im in the middle of a test

Answers

Answer:

0 is 5

1 is 7

2 is 9

5 is 15

7 is 19

21 of an ice cream company's flavors contain nuts.
How many total flavors does the company make if
30% of them contain nuts?

PLEASE HELP ME! :(

Answers

Answer:

The company has 70 falvors

I need to know the answer step by step.

Answers

Answer:

108

Step-by-step explanation:

Since B=3, you need to do 4(3)^2*3

Do 3^2, which is 9,

4*9=36,

36*3=108

Writing Equations of Lines

Answers

Answer:

Please leave more information.

Step-by-step explanation:

answer my other question hshkdhrjklw

Answers

Answer:

hfhedcvgfhsla

Step-by-step explanation:

al you have to do is laugh

Answer:

Cual es tu otra pregunta?

Step-by-step explanation:

Rose was tracking the movements of a rabbit and plots the movements of the rabbit on this graph.
Calculate the fastest speed that Rose observes the rabbit move.

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

Let's calculate this, use points C(4,3), D(12,12)

(12 - 3)/(12 - 8) = 9/4 = 2.25 m/s

how to find the surface area of a triangular prism

Answers

Answer:

Triangular prisms have their own formula for finding surface area because they have two triangular faces opposite each other. The formula A=12bh is used to find the area of the top and bases triangular faces, where A = area, b = base, and h = height.

Step-by-step explanation:

for all positive values of x the value of ^log x ^x is always __ and the value of ^log x ^1 is always__

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

At a Chinese buffet, there are five
entree selections. If two entrees may be
selected, how many ways may the
plates be filled?

Answers

10 different ways.....

Answer:

I know I'm a little late, but there are 10 different ways the plate can be filled.

Step-by-step explanation:

Formula:

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