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A parabola has a focus at ( 1.5, 0) and a directrix of x= -1.5. Which of the following equations represent the parabola?

CXA Parabola Has A Focus At ( 1.5, 0) And A Directrix Of X= -1.5. Which Of The Following Equations Represent

Answers

Answer 1

Step-by-step explanation:

Since the focus lies on the x axis, and the diretcrtirx is a vertical line, we have a sideways parabola so we have the equation

[tex](y - k) {}^{2} = 4p(x - h)[/tex]

where h,k is the vertex and

p is the distance from the vertex to the focus or the distance fromcthe vertex to the directrix.

Since the focus is 1.5, and the directrix is -1.5 the vertex is (0,0) so we have

[tex]y {}^{2} = 4px[/tex]

We know p is 1.5 so we have

[tex] {y}^{2} = 6x[/tex]

[tex] \frac{1}{6 } {y}^{2} = x[/tex]


Related Questions


Shahida has seen an eagle landing at the top of the tree in her backyard. She places a camera on a tripod a distance of 12 feet from the
trunk of the tree. She angles the camera to the top of the tree so she can get a picture of the eagle. The height of the tree is 31 feet. The
height of the tripod is 4 feet.

Answers

The angle of elevation from the tripod to the top of the tree is about 66 degrees

What is trigonometric ratio?

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Let Ф represent the angle of elevation. Since the tripod is at a height of 4 feet, hence:

tanФ = (31 - 4) / 12

Ф = 66 degrees

The angle of elevation from the tripod to the top of the tree is about 66 degrees

Find out more on trigonometric ratio at: https://brainly.com/question/24349828

Evaluate the function when x= -3, 0, and 1.
f(x) = 5 + 5x - 7

Answers

Answer:

f(-3) = -17

f(0) = -2

f(1) = 3

Step-by-step explanation:

f(-3) = 5 + 5(-3) - 7

5 -15 - 7

-10 - 7

=-17

f(0) = 5 + 5(0) -7

5 + 0 - 7

5 - 7

=-2

f(1) = 5 + 5(1) - 7

5 + 5 - 7

10 - 7

=3

An object is thrown upward from the top of 96​-foot building with an initial velocity of 80 feet per second. The height h of the object after t seconds is given by the quadratic equation h=16t^2+80t+96. When will the object hit the​ ground?

Answers

The function of the object height is an illustration of a projectile motion

The object will never hit the ground

How to determine when the object hits the ground?

The function is given as:

h=16t^2+80t+96.

When the object hits the ground, h = 0

So, we have:

16t^2+80t+96 = 0

Divide through by 16

t^2+5t+6 = 0

Expand

t^2 + 3t + 2t + 6 = 0

Factorize

t(t + 3) + 2(t + 3) = 0

Factor out t + 3

(t + 2)(t + 3) = 0

Solve for t

t = -2 or t = -3

The time (t) cannot be negative.

Hence, the object will never hit the ground

Read more about projectile motion at:

https://brainly.com/question/1130127

Answer:

6

Step-by-step explanation:

did this question in savvas

Find the distance between the two points (1, -4) and (5, 3). Give an exact answer in
terms of a square root.

Answers

Answer:

A lovely answer of : [tex]\sqrt{17}[/tex]

For those of you who use a dark theme : square root of (17)

And a short Explanation:

Use the Pythagorean theorem to find the result

Need help picture below

Answers

Qps is the answer as the arc has full rotated and touched from q p and s

what is the sum? complete the equation 3 1/7 + (-5 4/7)

Answers

Answer:

The answer is

[tex] - 2 \frac{3}{7} [/tex]

percent of students with brown eys

Answers

Answer:

between 55 to 79 percent

HELP PLEASE ITS DUE TODAY

Answers

3rd option.

The Sun appears so large compared to the other stars because it is so much closer to us than any other star. The Sun is just an average sized star.

Given sin(x + e^x) = y, find dy/dx. ==​

Answers

Answer:

Step-by-step explanation:

[tex]\frac{dy}{dx}=\frac{dy}{du}\frac{du}{dx}[/tex]

where [tex]u = x + e^{x}[/tex]

So we can obtain: [tex]\frac{dy}{dx}=(1+e^{x})\cos(u)=(1+e^{x})\cos(x+e^{x})[/tex]

Solve the equation Enter your answer as an equation that shows the value of
the variable (like s = 2/3, or 4 = w).
8x - 2 = 70

Answers

Algebra 1 Answer Key. ITEM 98. Find the equation that is equivalent to the quadratic equation shown. x2 – 8x – 8 = 0. A. x(x – 4) = 32. B. (x – 8)2 = 64.

please answer my question I will mark BRAINLIEST
With explanation please of all

Answers

Answer:

See below ↓

Step-by-step explanation:

11)

AB = AC [as angles opposing them are equal]AB = 4 cmB is the answer

12)

x/2 = 9/3 [they are in proportion across the transversal]x = 2 x 3x = 6C is the answer

13)

Let the missing side lengths (which are equal) be xx² + x² = (2√2)²2x² = 8x² = 4x = 2 [length is always positive]A is the answer

There is a rule on Brainly which states you can only answer 3 questions maximum per post.

So I can only help with you this much.

Hope this helped~

Answer:

Its me Viktor Kozhanov may I  have brainliest please

I also answered all you questions so give brainliest to those

as well

Step-by-step explanation:

What is the surface area?
15
yd
15
yd
15
yd

Answers

Answer:

Step-by-step explanation:

(15x15)x6

225x6

1350

How many solutions does this system have?
y=-3x
-9x-4y = 21
one
two
an infinite number
no solution

Answers

This system have one solution.

how many boxes of enelopes can you buy with $12 if one box cost $3?

Answers

Answer:

Total cost = $12 (Cost of the box) x (Number of boxes) = (Total Cost) ($3)x(n) = ($12) 3n = 12 3n 3 = 12 3 to isolate the n divide by 3 on both sides n = 4 You can buy 4 boxes with $12 if the boxes cost $3 each.

Step-by-step explanation:

Answer:

you can buy 4 boxes hope it helps

Step-by-step explanation:

Find the greatest common factor (GCF) of 12x and 18x3.

Answers

Answer:

the answer to that question is 6x squared.

Step-by-step explanation:

Answer:

6x

Step-by-step explanation:

12x and 18x3

first, simplify 18x3

12x and 54x

Now, cancel the x, we'll add it on in the end

12 and 54

Factor it!

(2 * 3 * 2) and (2 * 3  * 3 * 3)

2 and 3 remain common, so multiply = 6

Add on x from before.

6x is the answer.

Help help help help ASAP apa

Answers

Answer:

A=49.12

Step-by-step explanation:

The area of the figure=

Area of the triangle + area of the semicircle.

Area of the triangle=

½×the base × the height=

½×6×8=

24ft.

Area of the semicircle=

½πr²=

½×3.14×4²=

25.12ft.

Area of the figure=

24+25.12=

49.12ft

Find the value of x. Enter only the number.

Answers

Answer: 5

Step-by-step explanation: These two triangles are similar triangles. Since they are similar, they must be scaled equivalently. The scale factor is 5. To know this, 3 times 5 is 15, and being equivalent, we can figure 5 times 5 is 25. Therefore x is 5. That also means that the scale factor of the smallest triangle to the biggest triangle is 5. Thus, x is 5.

Which statements are true about the figure? Check all that apply.

A net has 3 rectangular faces and 2 triangular faces.
The figure is a triangular prism.
The figure is a rectangular pyramid.
The figure has 6 vertices.
The figure has 6 faces.
The figure has 9 edges.

Answers

Answer:

Step-by-step explanation:

The figure is a triangular prism.

The figure has 6 vertices.

The figure had 9 edges.

Vertex: The meeting point of two edges is called vertex

Edge: The meeting point of two faces is called an edge.

Ted needs 2500 metres of lighting cable for a job. What is this length in kilometres?

Answers

Answer:

2.5km

Step-by-step explanation:

1000m=1km

We have 2500m

2500m=2.5km

2500 m because 1000 metre=1km.

The number 9 is a common factor of _________.
A) 6 and 9
B) 9 and 36
C) 16 and 27

Answers

Answer:

Step-by-step explanation:

B) 9 and 36

hello!

================================================

9 is a common factor of

9 and 36.

Here's why:

6 is not evenly divisible by 9

16 is not divisible evenly by 9 (it is divisible by 8)

All the other numbers are divisible by 9.

=============================================

note:-

Hope everything is clear; if you need any more explanation/clarification, kindly let me know, and I will comment and/or edit my answer. :)

A box of 800 paper clips costs $5.60. What is the unit price of the paper clips?

Answers

Answer:

70 cents

Step-by-step explanation:

To figure out how much 1 paper clip costs we must divide :)

5.60/800 = 70 cents

Have an amazing day!!

Please rate and mark brainliest!!

This question is asking for the unit rate so basically if you were to put this into a ratio it would look like this…. 800:5.60 1:x so to solve this you would do 5.60/800 which would get you 0.7 and in money that’s 70 cents. So 70 cents per a paper clip.

show your work :) giving brainliest!

Answers

Answer:

41/25

Step-by-step explanation:

So (-1)¹⁰ equals 1 because any number multiplied by a positive exponent is positive. Next, you do (-22)⁰ which equals 1. Anything to the zeroth power equals one. Now you add 1 and 1 which equals 2. Then you do -(3/5)² which equals -9/25 (You do 3 * 3 which equals 9 and 5 * 5 which equals 25. You then add the negative sign outside the parenthesis to get -9/25). Then you multiply 2 by 25 so both numbers have a common denominator of 25. That equals 50/25 ( 50/25 is 2). You subtract 50/25 by 9/25. That equals 41/25.

Answer:

[tex]\frac{41}{25}[/tex]

Step-by-step explanation:

[tex](-1)^{10} + ( -22)^{0} - (\frac{3}{5})[/tex]

[tex]1 + (-22)^{0} - (\frac{3}{5})^{2}[/tex]

[tex]1 +1 - (\frac{3}{5} )^{2}[/tex]

[tex]1 + 1- \frac{9}{25}[/tex]

add the numbers

[tex]2 -\frac{9}{25}[/tex]

Calculate the difference

[tex]\frac{41}{25}[/tex] ← Final answer! ~ Hope this helps~

These points are linear.
Find the slope.
X 3 4 5 6 7
y 0 9 18 27 36
slope = [?]

Answers

The linear slope of x1x2 y1y2 came out as 9

Write these numbers in order of size. Start with the smallest number. 3007 4435 399 4011 3333​

Answers

Hey there!

Let's write all these numbers in order.

First, all numbers here are 4-digit numbers, except 1 (it's a 3-digit number)

So the smallest number is the 3-digit number.

399

Now, what's next?

let's check the thousands place (the first digit in the 4-digit numbers)

We see 3, 3, 4 and 4.

3 is smaller than 4.

Now we have 2 numbers: 3007 and 3333.

Well, which one's smaller? that's right, 3007.

So we have

399, 3007.

The third number is 3333 (the thousands place is 3)

so we have

399, 3007, 3333

Now, we have 2 numbers left, and they have a 4 in their thousands place.

The numbers are: 4011 and 4435.

Well, which one's smaller? that's right, 4011, and the greatest number is 4435.

Hence, we have

[tex]\boxed{\boxed{\bold{399,~3007,~3333,~4011,~4435}}}[/tex]

Hope everything is clear.

Let me know if you have any questions!

#LearningDoesn'tEnd

:-)

-
In the diagram below, UV is parallel to RS. If UT = 4, TS = 9.6, and TV = 6,
find the length of RT. Figures are not necessarily drawn to scale.

Answers

Check the picture below.

please help please help please

Answers

light and heat

Step-by-step explanation:

all stars in general produce light and heat

find product of 9000and800​

Answers

Answer:

7200000

Step-by-step explanation:

I need help, so this one question: 1/4 (4+x)=4/3
Is stopping me from being great

Answers

Answer:

if you are solving for x, x= 4/3

Step-by-step explanation:

How to solve your problem:

1. Rearrange terms
2. Combine multiplied terms into a single fraction
3. Multiply by 1
4. Multiply all terms by the same value to eliminate fraction denominators
5. Cancel multiplied terms that are in the denominator
6. Multiply the numbers

7. Subtract 4 from both sides

8.Simplify


Answer:

X= 4/3


Hopes this helps! ^^

Graph the following function:
f(x) = x2 + 5x – 6

Answers

Answer:

The graph is in the image below

Step-by-step explanation:

you can use an online graphing calculator like Desmos to graph questions like this

I'm not sure if the x2 is x^2 but I will assume

What is the slope of the line that passes through the points (1, 1) and (9, 7)?    ​

Answers

Answer:

slope =1

Step-by-step explanation:

(1, 1)=(x1,y1)

(9, 7)=(X2, y2)

now,

slope=(y2-y1)/(x2-x1)

=(7-1)/(9-1)

=8/8

=1

Hey there!

Use the slope formula:

[tex]\bold{\displaystyle\frac{y2-y1}{x2-x1}}[/tex]

[tex]\bold{\displaystyle\frac{7-1}{9-1}}[/tex]

Simplify

[tex]\bold{\displaystyle\frac{7}{8} }\hookleftarrow\text{Slope of the line}[/tex]

Hope everything is clear.

Let me know if you have any questions!

#ILoveLearning

:-)

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