Answers
Answer:
b
Step-by-step explanation:
A parabola represents a quadratic equation. For a point called the focus and a line called the directrix, the distance from each point of the parabola to the focus is equal to its distance to the directrix. For example, if the directrix of the parabola was y=0 and the focus was (1,1), the distance between each point on the parabola to (1,1) would be equal to its distance from the line y=0.
For a parabola that has a horizontal axis of symmetry (or when y² is in the equation rather than x²), one way to write its equation is of the form
(y-k)² =4p(x-h), where (h,k) is the vertex. Now, we can try to match up this form with the equation we have,
y² = 24x
(y-k)² = 4p(x-h)
We can start by setting both sides with y equal to each other, as well as both sides containing x
y² = (y-k)²
square root both sides
y = y-k
k=0
24x = 4p(x-h)
divide both sides by 4
6x = p(x-h)
expand
6x = p*x - p*h
Because p*h does not contain an x value, we can say
6x = p * x
p = 6
6x = p*x - p*h
6x = 6x-6*h
subtract 6x from both sidex
6*h=0
h=0
Our equation is thus
y= 4(6)(x), with our vertex being (0,0) = (h,k)
The directrix is equal to x=h-p, and with p being 6, our directrix is thus
x=0-6 = -6
x=-6
Related Questions
find three points that solve the equation
2y = -3x + 2
Answers
Answer:
x= 0, y=2
x=2, y=-2
x=4, y= -5
Step-by-step explanation:
Find the measure of the indicated angle to the nearest degree
Answers
We know
[tex]\boxed{\sf cos\theta=\dfrac{B}{H}}[/tex]
[tex]\\ \sf\longmapsto cos\theta=\dfrac{8}{16}[/tex]
[tex]\\ \sf\longmapsto cos\theta=\dfrac{1}{2}[/tex]
[tex]\\ \sf\longmapsto cos\theta=cos60[/tex]
[tex]\\ \sf\longmapsto \theta=60[/tex]
Un avión puede volar con la velocidad de 400 km por hora en atmósfera tranquila si cuando se dirige hacia el este el viento viene del Sur con la velocidad de 40 km por hora cuál es la dirección de su vuelo
Answers
Answer:
84,3 ° Sureste
Step-by-step explanation:
El diagrama vectorial que tipifica la pregunta se muestra en la imagen adjunta.
La dirección del avión es la dirección de la velocidad resultante.
Si esta dirección es θ
θ = tan ^ -1 (400/40)
θ = 84,3 ° Sureste
What is the name of an investment that pools money from many investors in
order to acquire a large variety of stocks, bonds, and other investments?
A. Derivative
B. Mutual fund
C. Annuity
Answers
Answer:
Mutal fund because its a formerly greatest instruments
The name of an investment that pools money from many investors in order to acquire a large variety of stocks, bonds, and other investments is Mutual fund.
What is investment?Investment is traditionally defined as the "commitment of resources to achieve later benefits
A mutual fund is a type of investment vehicle that pools money from multiple investors to invest in a diversified portfolio of stocks, bonds, and other securities.
Mutual funds are managed by professional fund managers who use the pooled funds to purchase a range of investments, with the goal of generating a return for the investors.
Investors in mutual funds own shares in the fund, and the value of their investment is based on the performance of the underlying securities held by the fund.
Mutual funds offer investors the benefits of diversification, professional management, and ease of investment, as well as the ability to invest in a variety of asset classes with relatively low minimum investment requirements.
Hence, the name of an investment that pools money from many investors in order to acquire a large variety of stocks, bonds, and other investments is Mutual fund.
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Given point P=(2,-4), determine its transformation after it goes through the composite transformation
Show all your work. P"=(
)
PLEASE HELP
Answers
Answer:
(2,-7)
Step-by-step explanation:
The point moves down 3 units resulting in (2,-7)
Mohamad bought a remote control car and paid $70.20. The price before tax was $65.00. What percent sales tax did he pay?
Answers
Answer:
Mohamad payed 8% of sales tax.
Step-by-step explanation:
First, we need to find the additional amount he paid to find the tax percentage.
70.20 - 65.00 = $5.20
Now, we divided that answer by the original price to find the actual percentage.
5.20/65.00 = 0.08 = 8%
I need help to find w =
Answers
Answer:
The answer is 12.
Step-by-step explanation:
Since one of the sides on the smaller polygon is two and on the other one is six that must mean the scale is multiply by 3 because 2x3=6. So 4 times 3 is 12.
So, w = 12
how many weeks are there in 504 hours
Answers
Answer:
26297.4 weeks
Step-by-step explanation:
hope it will help u
please mark me brillient
Davina uses a diagram to demonstrate the Pythagorean Theorem.
3
hypotenuse
How are the squares related to the sides of the triangle?
The area of each square is equal to the square of the length of the side to which it is adjacent.
The area of each square is equal to the length of the side to which it is adjacent.
The sum of the areas of the squares is equal to the square of the perimeter of the triangle.
The perimeter of each square is twice the length of the side of the triangle squared.
Answers
Answer:
the first option : The area of each square is equal to the square of the length of the side to which it is adjacent.
Which rules define the function graphed below? (15 points cuz I'm stumped)
y=2x+3; y=-1/3x+3
y=2x; y=-1/3x
y=3x+2; y=3x-1
y=-3x+3; y=x+3
Answers
Answer: Choice A
y=2x+3; y=-1/3x+3
==================================================
Explanation:
The left portion of the blue curve is y = 2x+3 but it is only graphed when x < 0 (we could argue that [tex]x \le 0[/tex] but I'll set that aside for the other portion).
The right portion is the line y = -1/3x + 3 and it's only graphed when [tex]x \ge 0[/tex]
So we could have this piecewise function
[tex]f(x) = \begin{cases}2x+3 \ \text{ if } x < 0\\-\frac{1}{3}x+3 \ \text{ if } x \ge 0\\\end{cases}[/tex]
Or we could easily swap the "or equal to" portion to move to the first part instead like this
[tex]f(x) = \begin{cases}2x+3 \ \text{ if } x \le 0\\-\frac{1}{3}x+3 \ \text{ if } x > 0\\\end{cases}[/tex]
Either way, we're involving the equations mentioned in choice A
In a survey, 60 people were asked:
Here are the results.
Complete the table below with the view of drawing a pie chart.
Type of newspaper Angle (in )
Morning newspaper
Evening newspaper
No newspaper
Answers
Asha found that a vertical line intersects the graph of x = StartAbsoluteValue y EndAbsoluteValue at two points. What can Asha conclude about x = StartAbsoluteValue y EndAbsoluteValue?
It is a function of x but not a relation.
It is a relation but not a function of x.
It is both a function of x and a relation.
It is neither a function of x nor a relation.
Answers
Answer:
what can i help u with
Step-by-step explanation:
The graph of x = |y| is as shown in the figure.
When we draw a vertical line, it intersects the graph at two points.
This means for the same value of x , we have two values of y.
Or in other words, for the same pre image, we have two images.
Hence it is not a function.
But for every value of x, we do have a value of y, hence it is a relation.
x = |y| is a relation but it is not a function
Answer:
:B
Step-by-step explanation:
hope that can help
please answer all three.
Answers
Answer:
842.04 cm³
Step-by-step explanation:
Cylinder:
diameter = 6 cm
r = 6/2 = 3cm
h = 4 cm
Volume of cylinder = πr²h
= 3.14 * 3 * 3 * 4
= 113.04 cm³
Cube:
side = 9 cm
Volume of cube = side * side *side
= 9*9*9
= 729 cm³
Volume 0f composite figure = volume of cylinder + volume of cube
= 113.04 + 729
= 842.04 cm³
Answer:
1181.16
Step-by-step explanation:
Cylinder + Cube = 1181.16
Find a pattern for the sequence. Use the pattern to show the next two terms.
AL, AK, AZ, AR, CA, ...
Choose the correct answer below.
СT, CO
CO, DE
CO, CT
DE, FL
Answers
============================================
Explanation:
These are state abbreviations
AL = AlabamaAK = AlaskaAZ = ArizonaAR = ArkansasCA = CaliforniaCO = ColoradoCT = ConnecticutDE = DelawareFL = FloridaSince the given sequence is "AL, AK, AZ, AR, CA", and the states are listed alphabetically so far (in terms of the two letter abbreviations), then the next two would be CO and CT in that order.
What is the area? Please help!!!
Answers
Answer: 96 ft²
Step-by-step explanation:
This figure can be divided into two rectangles:
The first rectangle has dimensions 6 ft by 14 ft.The second rectangle had dimensions 4 ft by 3 ft.Find the area of both rectangles:
The first rectangle: 6 × 14 = 84 ft²The second rectangle: 4 × 3 = 12 ft²Add them together to find the total area of the figure:
84 + 12 = 96 ft²
There were some people no a boat 26 people got off the boat at the first dock 22 people got off the boat now there ate 74 people on the boat how many people were on the boat?
Answers
Answer:
Step-by-step explanation:
Let the initial number of people on the boat be x:
x - 26 - 22 = 74
x -48 = 74
x = 74 + 48
x = 122
Answered by G a u t h m a t h
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8. The two diagonals of a parallelogram meet at a 60° angle. The diagonals are 10 cm and 6 cm long. Find the lengths of the sides of the parallelogram.
Target due: 1/14/22 52% 5
10 cm
0 14 cm, 8.7 cm
4.4 cm, 2.8 cm
CLASS INFO
O 4.4 cm, 4.4 cm
7 cm, 4.4 cm
818-572-
ak:
tnp-
2 01:15:20
Answers
9514 1404 393
Answer:
7 cm, 4.4 cm
Step-by-step explanation:
The side lengths can be found from the law of cosines. Each triangle has legs 3 cm and 5 cm. The angle between these will be 60° or 120°. Then the two sides of the parallelogram are ...
s = √(a² +b² -2ab·cos(C))
s = √(3² +5² -2·3·5·(±1/2)) = √(34 ±15) = {√49, √19}
The two side lengths are 7 cm and about 4.4 cm.
QUESTION 2 Write the slope-intercept form of the equation of the line through the gran point micia the grea slope through: (5,-2), siope--1 Oay=-2=6 Oby=-2-3 O cy=-x=3 Ody=-z-6
Answers
Answer:
y = -x+3
Step-by-step explanation:
Slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = -1x +b
Using the point for x and y we can calculate b
-2 = -1(5)+b
-2 = -5+b
Add 5 to each side
-2+5 = b
3 = b
y = -x+3
A wholesaler purchased an electric item for Rs 2,700 and sold to retailer at
10% profit. The retailer sold it at 20% profit to a consumer. How much did the
consumer pay for it.
PLZ PLZ HELP.......
Answers
Step-by-step explanation:
10 % of 2700 = 270
so he had 2970 rupee
20% of 2970 = 594
so customer have to pay 2970 + 594 = 3564
Find the cos T. Round to the nearest 100th
Answers
Answer:
0.92 to nearest 100th.
Step-by-step explanation:
cos T = adjacent side / hypotenuse
= 12/13
= 0.9231
12) Gina is making a bookcase and has 92 inches of wood. If she uses 61 inches of wood for the top and bottom, how much wood does she have left for the sides?
Answers
Answer:
92 - 61 = 31
There are 31 inches of woods left.
Answer:
31 inches
Step-by-step explanation:
Simply subtract: 92 - 61 = 31
(Assuming that the bookcase has 3 sides, she has about 10.33 inches of wood for each side.)
The marked price of a radio is rs 100 and if the shopkeeper allows 10% discount . how much should a customer pay for it
Answers
Answer:
rs 90
Step-by-step explanation:
10% discount means that you multiply the initial amount by 1-0.1. Therefore, since 0.9 x 100 is 90, you will pay rs 90
Answer: Rs 90
Explanation:
Marked Price - Rs 100
Discount = 10%
= 10/100×100
= Rs 10
Therefore after discount (100-10) = 90
The customer will pay Rs 90
Answered by Gauthmath must click thanks and mark brainliest
Your monthly finance charge is based on your interest rate and your balance, the higher your interest rate, the higher your finance charge will be.
True
False
Answers
Answer:
True
Step-by-step explanation:
If you don't pay by the deadline, interest rate will contribute to your finance charge.
Can someone help me with this please
Answers
8
Step-by-step explanation:
The amount of blocks that make up each layer would be best represented as the Length, Width and height
A number multiplied by itself 3 times = 512
8 x 8 x 8 = 512
64 x 8 = 512
512 = 512
Therefore, 8 blocks make up each layer
Answer:
B
Step-by-step explanation:
You need a number that when multiplied by itself 3 times gives you 512. So the length and width of the bottom layer must be 8 by 8 which is 64.
The layers are 8 cm high, so that's the third number you multiply together.
Volume = 8*8*8 = 64
But the answer you want is 8*8 which is 64
Which one is the geometric sequence.
Answers
Answer:
C
Step-by-step explanation:
A geometric sequence has a common ratio r between consecutive terms
A
4 ÷ 2 = 2
6 ÷ 4 = 1.5
Thus not a geometric sequence
B
1 ÷ 1 = 1
2 ÷ 1 = 2
Thus not a geometric sequence
C
[tex]\frac{1}{2}[/tex] ÷ 1 = [tex]\frac{1}{2}[/tex]
[tex]\frac{1}{4}[/tex] ÷ [tex]\frac{1}{2}[/tex] = [tex]\frac{1}{2}[/tex]
[tex]\frac{1}{8}[/tex] ÷ [tex]\frac{1}{4}[/tex] = [tex]\frac{1}{2}[/tex]
D
4 ÷ 7 = [tex]\frac{4}{7}[/tex]
1 ÷ 4 = [tex]\frac{1}{4}[/tex]
Thus not a geometric sequence
Then the geometric sequence is C
Can someone please explain how to do this? You don't have to answer the questions but If you can give me an explanation/formula to solve. it would help me a lot thank you. marking brainliest when I can.
Answers
Answer:
a. The 1's are heavier than the x's. There isn't a whole number on top of the x's.
b. The equation would be 2x<9 because the 9 is greater(heavier) than the 2x. To continue to solve you would divide 2 by both sides. That would turn into x<9/2.
Step-by-step explanation:
NEED QUICK!!!
Describe the differences between a WiFi connection and a Cable connection when sending data on the internet. Respond in full sentences.
Answers
Answer:
they both connect to a tower of some sort but cable applies to channels of network and wifi applies the a wide web network.
Answer:
A WiFi connection transmits data via wireless signals, while an Ethernet connection transmits data over cable. ... An Ethernet connection is generally faster than a WiFi connection and provides greater reliability and security.
The area of the triangle shown is represented by A=s(s−21)(s−17)(s−10)−−−−−−−−−−−−−−−−−−−−√, where s is equal to half the perimeter. What is the height h of the triangle?
Answers
Answer:
9.88 units
Step-by-step explanation:
We are given that area of triangle is given by
[tex]A=\sqrt{s(s-21)(s-17)(s-10)}[/tex]
s=Half perimeter
By comparing with
[tex]A=\sqrt{s(s-a)(s-b)(s-c)}[/tex]
We get
a=21
b=17
c=10
[tex]s=\frac{a+b+c}{2}=\frac{21+17+10}{2}=24[/tex]
Now, the area
[tex]A=\sqrt{24(24-21)(24-17)(24-10)}[/tex]
A=84
Area of triangle, [tex]A=\frac{1}{2}\times bh[/tex]
b=17
[tex]84=\frac{1}{2}(17)(h)[/tex]
[tex]h=\frac{84\times 2}{17}[/tex]
[tex]h=9.88 units[/tex]
Hence, the height of the triangle=9.88 units
A shopkeeper sells house numbers. She has a large supply of the digits, 1, 2, 7, and 8, but no other digits. How many different three-digit house numbers could be made using only the digits in her supply?
Answers
Answer:
64.
Step-by-step explanation:
The digits used are 1 , 2, 7 and 8
To make a number of three digits, the digits are repeated.
To make the three digit number
The ones place is filled by 4 ways.
The tens place is filled by 4 ways.
The hundred place is filled by 4 ways.
So, the total number of ways to make a three digit number is 4 x 4 x 4 = 64.
Simplify the complex number √-16+8.
Answers
Answer:
[tex]\sqrt{-16} +8[/tex]
[tex]=4i+8[/tex]
OAmalOHopeO
