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
I NEED HELP WITH THIS QUESTION ASAP ITS REALLY REALLY URGENT!!!!
—
Two kids, Albert and Bhara, are 20.0 m apart. Albert sees a soccer ball 25.0 m away. If the angle between the line formed by Albert and Bhara and the line from Albert to the soccer ball is 25 degrees, how far is Bhara from the soccer ball? Correctly round your answer to the nearest tenth of a meter.
Answers
Step-by-step explanation:
I can give you a formula SOH-Sinø=Opposite\Hypotenuse
CAH-Cos=Adjacent\Hypotenuse
TOA-Tan=Opposite\Adjacent
Write in standard form using integers. (ASAP help)
Is it a, b, c or d?
Answers
Answer: D
Step-by-step explanation:
To get rid of denominator in x, multiply everything by 3
3y=2x+21
Move the variables to the left
-2x+3y=21
EXPLAIN:
Answer the following questions using 125 words or more:
Write about the similarity of the original comic to the enlargement. How similar are they and how can you tell? What would cause differences in the two pictures? If you drew another comic using a grid, is there anything you would do differently?
What would happen if you reduced the comic's size rather than enlarged it? Would the process be the same? What would you do differently?
Answers
Answer:
Step-by-step explanation:
The enlargement of a comic will be very similar to the original. Everything is larger but in the same proportion. The difference is if the original is enlarged so much that the individual pixel in the original comic becomes visible; causing the enlargement to be "pixelated."
If a comic is drawn using a grid, that may reduce pixelation because you can line up things with the grid.
If the comic's size is reduced, then again it will look similar but everything is smaller and in the same proportion. There will not be any pixelation effect.
find the missing side of the triangle.
Answers
Answer:
2[tex]\sqrt{10\\}[/tex]
Step-by-step explanation:
Because this is a right triangle, we have:
[tex]x^{2} + 3^{2} = 7^{2} (Pytago)\\x^{2} + 9= 49\\x^{2} =40\\x=\sqrt{40} \\x=2\sqrt{10}[/tex]
please find the value of x
Answers
Answer:
x = 5.9
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp /adj
tan 26 = x /12
12 tan 26 =x
x=5.85279
Rounding to the nearest tenth
x = 5.9
Help anyone can help me do this question,I will mark brainlest.
Answers
Answer:
[tex]344 {cm}^{2} [/tex]
Step-by-step explanation:
[tex]area \: of \: the \: square \\ = 40cm \times 40cm \\ = 1600 {cm}^{3} \\ [/tex]
[tex]area \: of \: the \: circle \\ = \pi {r}^{2} \\ = 3.14 \times {(20)}^{2} \\ = 3.14 \times 400 \\ = 1256 {cm}^{2} \\ [/tex]
[tex]area \: of \: shaded \: region \\ = 1600 {cm}^{2} - 1256 {cm}^{2} \\ = 344 {cm}^{2} \\ [/tex]
Which angle is coterminal to a 175 degree angle?
Answers
Answer:
Step-by-step explanation:
-185
Calculate the correlation coefficient, r, for the data below. Row chart ( (x )(y ) ) row chart ( ( -10 )( 2 ) ) row chart ( ( -8 )( -3 ) ) row chart ( ( -1 )( -15 ) ) row chart ( ( -4 )( -10 ) ) row chart ( ( -6 )( -6 ) ) row chart ( ( -7 )( -5 ) ) row chart ( ( -5 )( -8 ) ) row chart ( ( -3 )( -13 ) ) row chart ( ( -2 )( -14 ) ) row chart ( ( -9 )( -1 ) )
Answers
Answer:
The correlation coefficient is approximately -0.9949
Step-by-step explanation:
The given data is presented as follows;
[tex]\begin{array}{lcl}x&&y\\-10&&2\\-8&&-3\\-1&&-15\\-4&&-10\\-6&&-6\\-7&&-5\\-5&&-8\\-3&&-13\\-2&&-14\\-9&&-1\end{array}[/tex]
The correlation coefficient, r is given as follows;
[tex]r = \dfrac{\sum(x_i - \overline x) \cdot (y_i - \overline y)}{\sqrt{\sum (x_i- \overline x)^2\times \sum (y_i- \overline y)^2 } }[/tex]
From MS Excel, we have;
∑([tex]x_i - \overline x[/tex])·([tex]y_i - \overline y[/tex]) = -155.5
∑([tex]x_i - \overline x[/tex])² = 82.5
∑([tex]y_i - \overline y[/tex])² = 296.1
Therefore, r = -155.5/(√(82.5 × 296.1)) ≈ -0.9949
The correlation coefficient, r ≈ -0.9949
I need help finding the answer
Answers
In this figure, a line through points X and Y will _____
Answers
Answer:
D.
Step-by-step explanation:
The line will be a straight line and will go through AB in the center. Therefore, it will be the perpendicular bisector.
Find the volume of a cone with radius 10 feet and height of 4 feet.
Answers
Answer:
[tex]\frac{400}{3} \pi[/tex]
Step-by-step explanation:
Formula for Cone: π[tex]r^{2}\frac{h}{3}[/tex]
Since we have all the components, we can find the volume of the cone.
R = 10
H = 4
π[tex]10^{2}\frac{4}{3}[/tex]
10×10 = 100
100π[tex]}\frac{4}{3}[/tex]
[tex]}\frac{4}{3}[/tex]×100
4 100 400
--- × ----- = ------
3 1 3
Answer: [tex]\frac{400}{3} \pi[/tex]
Hope this helped.
Find the volume of a cone with radius 10 feet and height of 4 feet.
Solution :Given Data :
Radius = 10 feet
Height = 4 feet
Formulae :
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \star \: \blue{ \underline{ \overline{ \green{ \boxed{ \frak{{ \sf V}olume_{(Cone)} = \pi {r}^{2} \frac{h}{3}}}}}}}[/tex]
Putting the values we get
[tex] \frak{ Volume_{(Cone)} = 3.14 × (10)² × \frac{4}{3} }[/tex]
[tex] \frak{Volume_{(Cone)} = 3.14 × 100 × \frac{4}{3} }[/tex]
[tex] \frak{Volume_{(Cone)} = 314 \times \frac{4}{3} }[/tex]
[tex] \frak{Volume_{(Cone)} = 418.67 \: ft³ }[/tex]
Henceforth, the volume is 418.67 ft³
Triangle LMN is dilated by a factor of 1.25 to create triangle PQR what is the length of PQ A 20 cm B 18.75 cm C 17 cm di 12 cm
Answers
Answer:
See explanation
Step-by-step explanation:
Given
[tex]\triangle LMN \to \triangle PQR[/tex]
[tex]k = 1.25[/tex]
Required
The length of PQ
[tex]\triangle LMN \to \triangle PQR[/tex] means that the side lengths of LMN are multiplied by 1.25 to get the side lengths of PQR
And it implies that the following sides are corresponding
[tex]LM \to PQ[/tex]
[tex]MN \to QR[/tex]
[tex]LN \to PR[/tex]
So, we have:
[tex]PQ = k * LM[/tex]
[tex]PQ = 1.25* LM[/tex]
The question is incomplete.
Assume LM = 16, then:
[tex]PQ = 1.25* 16[/tex]
[tex]PQ = 20[/tex]
The midpoint of a segment is (6,−4) and one endpoint is (13,−2). Find the coordinates of the other endpoint.
A. (20, -6)
B. (-1, 0)
C. (-1, -6)
D. (20, 0)
Answers
Answer:
(-1,-6)
Step-by-step explanation:
(13 + x)/2 = 6
13+x= 12
x = -1
~~~~~~~~~~~~~~~
(-2 + y ) / 2 = -4
-2 + y = -8
y = -6
The coordinates of the other endpoint will be (-1,-6). The correct option is C.
What is the midpoint of the line?Divide the measurement of the distance between the two end locations by 2. The middle of that line is located at this separation from either end.
A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.
Given that the midpoint of a segment is (6,−4) and one endpoint is (13,−2).
The x- coordinate will be calculated as:-
(13 + x)/2 = 6
13+x= 12
x = -1
The y-coordinate will be calculated as:-
(-2 + y ) / 2 = -4
-2 + y = -8
y = -6
Therefore, the coordinates of the other endpoint will be (-1,-6). The correct option is C.
To know more about midpoints of the line follow
https://brainly.com/question/24431553
#SPJ2
please help i've been stuck on this for a while
Answers
Answer:
SSS Postulate
Step-by-step explanation:
The first says 2 sides are the same
The second says 2 sides are the same
The last says 2 sides are the same
Side side side
SSS Postulate
A computer vauled at $30,000 is depreciated to $0 value over a 6 year period. find the rate of change in the computer's value per year.
Answers
Answer:
$5000 per year
Step-by-step explanation:
Given data
initial value of the computer= $30000
Final value = $0
Duration= 6years
Hence the rate of change in the value per year is
=30000/6
=$5000 per year
Solve the equation for all values of x.
-x(x – 8)(x^2+25) = 0
Answers
Answer:
0, 8, 5i, -51
Step-by-step explanation:
Just calculate algebraically. Let me know if you need a more elaborate explanation.
Pat’s Pizza Shack offers customers two choices of crust, three choices of sauce, and four choices of toppings shown below. If a 1-topping pizza is selected at random, what is the probability that it will be deep dish crust, with traditional sauce and green peppers?
Answers
Answer:
1/24 (fraction form)
hope this helps
An iceberg weighs 450,000 pounds if it loss 0.2% of its weight in a day, what is its new weight at the end of the day
Answers
Answer:
449 100
Step-by-step explanation:
0.2% × 450000÷ 100=900
450000-900= 449 100
Answer:
Step-by-step explanation:
The answer is 449100 pounds .
Can anyone do this dont mind the 15x because i done it wrong
Answers
It would be 90 degrees because of the box in the corner
What is the constant of proportionality in the equation x 2
—- = ——
Y 9
Answers
Answer:
The Constant is 9/2
For a party Justin buys a pizza and cuts it into 24pieces.Marc eats 1/6 of portion of the pizza and claudine eats 1/4 of what remains after both of them have eaten, Sylvia eats 1/3 of the result.Justin gets to eat what is left over what fraction of the pizza did Justin not eat
Answers
Answer:
Justin did not eat 7/12 of the pizza
Step-by-step explanation:
Marc eats 1/6 × 24 = 4, 24 - 4 = 20 left over
Claudine eats 1/4 × 20= 5, 20 - 5 = 15 left over
Sylvia eats 1/3 × 15 = 5, 15 - 5 = 10 left over
Justin eats 10.
24 - 10 = 14
Justin did not eat 14/24 = 7/12
3. The upward velocity of the water in a particular fountain is given in feet per second by
v = -32t + 44, where t is the number of seconds after the water leaves the fountain. While
going upward the water slows down until, at the top, the water has a velocity of zero. How long
does it take each water particle to reach its maximum height?
Answers
ll,,Step-by-step explanation:
calculate the calculate the area of a circle whose diameter is 9 cm and pie is 22/7
Answers
Answer: 63.64 cm² (rounded to the hundredth place)
Step-by-step explanation:
Concept:
Here, we need to understand how to find the area of a circle.
The general formula is: A = πr²
π = 3.14 (or any constants that equals to this value)
r = radius = (1/2) diameter
Solve:
π = 22/7
r = d/2 = 9 / 4 = 4.5
A = πr²
A = (22/7) (4.5)²
A = (22/7) (4.5)²
A = 63.64 cm² (rounded to the hundredthe place)
Hope this helps!! :)
Please let me know if you have any question
Answer:
63.64 cm²
Step-by-step explanation:
r = d/2 = 9 / 4 = 4.5
A = πr²
A = (22/7) (4.5)²
A = (22/7) (4.5)²
A = 63.64 cm² (rounded to the hundredth place)
Write the quadratic equation whose roots are −2 and −5, and whose leading coefficient is 4.
URGENT PLS
Answers
Answer:
Step-by-step explanation:
quadratic equation is 4(x+2)(x+5)=0
4(x²+5x+2x+10)=0
4x²+28x+40=0
Answer:
f(x) = 4(x+2)(x+5)
Step-by-step explanation:
The quadratic function is
f(x) = a(x-b1)(x-b2) where a is a coefficient and b1 and b2 are the zeros
f(x) = a(x --2)(x--5)
f(x) = a(x+2)(x+5)
The leading coefficient is a and we know a =4
f(x) = 4(x+2)(x+5)
A chocolate factory made 369.84 pounds of milk chocolate in 2 days. How much milk chocolate, on average, did the factory make per day?
Answers
Answer: 184.92 lbs
Step-by-step explanation:
If the total amount they made in 2 days was 369.84, the avg per day would just be half of that
369.84/2=184.92 lbs
Answer:
The factory made 184.92 pounds of milk chocolate per day.
Step-by-step explanation:
369.84 ÷ 2 = 184.92
Have a great day :)
lus
Find the probability that a randomly
selected point within the circle falls
in the white area.
r = 4 cm
4 √2cm
[? ]%
Answers
Answer:
1-[tex]\frac{2 }{\pi }[/tex] = 1- .64 = .36 = 36%
[tex](4\sqrt{2}) ^{2} = 32\\[/tex]
[tex]\pi 4^{2}[/tex]= 16[tex]\pi[/tex]
[tex]\frac{32}{16\pi }[/tex]= [tex]\frac{2 }{\pi }[/tex]
Step-by-step explanation:
Find the measure of KM. PLEASE PLEASE PLEASE HELP ASAP!!!!!!!!!!!!!!!
A. 7
B. 17
C. 12
D. 14
Answers
Answer:
C
Step-by-step explanation:
Given 2 secants from an external point to the circle, then
The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant , that is
ML × KM = MN × MR, substitute values
7 × KM = 6(6 + 8)
7 KM = 6 × 14 = 84 ( divide both sides by 7 )
KM = 12 → C
Answer:
C.) 12
Step-by-step explanation:
I got it correct on founders edtell
bral
Explain how to use a graph of the function f(x) to
find (3).
Answers
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
Connor rolled a die 6 times. A 2 occurred three times. Why isn't the theoretical probability 3/6 instead of 1/6?
Answers
2 occurred 3times
[tex]\\ \sf\longmapsto S=6\times 3=18[/tex]
[tex]\\ \sf\longmapsto |S|=18[/tex]
Now
[tex]\\ \sf\longmapsto E=No\:of\:times\: 2\:occured[/tex]
[tex]\\ \sf\longmapsto |E|=3[/tex]
we know
[tex]\boxed{\sf P(E)=\dfrac{|E|}{|S|}}[/tex]
[tex]\\ \sf\longmapsto P(E)=\dfrac{3}{18}[/tex]
[tex]\\ \sf\longmapsto P(E)=\dfrac{1}{6}[/tex]
