Which is the equation of a parabola with vertex (0,0) and directrix y= 4
a. Y^2 = -8x
b. Y^2 = -16x
c. X^2 = -8y
d X^2 = -16y
Answers
Answer:
D. [tex]x^{2} = -16\cdot y[/tex]
Step-by-step explanation:
The vertex form of the equation of the parabola centered in the origin, with axis of symmetry in the x-axis and directrix in the first and second quadrants is described by the following formula:
[tex]4\cdot p \cdot y = x^{2}[/tex], [tex]p < 0[/tex] (1)
Where:
[tex]y[/tex] - Dependent variable.
[tex]x[/tex] - Independent variable.
[tex]p[/tex] - Focus distance.
If we know that vertex is located at (0, 0) and the directrix pass through (4, 0), then the focus distance (distance of the vertex with respect to that point) is -4, and the equation of the parabola is [tex]x^{2} = -16\cdot y[/tex].
Hence, the right choice is D.
Related Questions
Two decimals numbers, to the thousandths, that have a sum of about 5 and a difference of about 3. Then do the math to prove it works.
Answers
Answer:
The numbers are approximately: 4.000 and 1.000
Step-by-step explanation:
The given parameters can be expressed as:
[tex]\frac{x}{1000} + \frac{y}{1000} \approx 5[/tex]
[tex]\frac{x}{1000} - \frac{y}{1000} \approx 3[/tex]
Required
Determine the numbers
In each of the equations, multiply by 1000
[tex]1000 * [\frac{x}{1000} + \frac{y}{1000} \approx 5][/tex]
[tex]x + y \approx 5000[/tex]
[tex]1000 * [\frac{x}{1000} - \frac{y}{1000} \approx 3][/tex]
[tex]x-y \approx 3000[/tex]
So, we have:
[tex]x + y \approx 5000[/tex]
[tex]x-y \approx 3000[/tex]
Add the two equations
[tex]x + x + y - y \approx 5000 + 3000[/tex]
[tex]2x \approx 8000[/tex]
Solve for x
[tex]x \approx 8000/2[/tex]
[tex]x \approx 4000[/tex]
Substitute [tex]x \approx 4000[/tex] in [tex]x + y \approx 5000[/tex]
[tex]4000 + y \approx 5000[/tex]
[tex]y \approx 5000 - 4000[/tex]
[tex]y \approx 1000[/tex]
Using:
[tex]\frac{x}{1000} + \frac{y}{1000} \approx 5[/tex]
We have:
[tex]\frac{4000}{1000} + \frac{1000}{1000} \approx 5[/tex]
[tex]4.000 + 1.000 \approx5[/tex]
This implies that, the numbers approximates to 4.000 and 1.000, respectively.
Pythagorean theorem level 2 delta math
Answers
The third side is [tex]\sqrt{42}[/tex]
So Pythagorean's theorem is the following
[tex]Short^2 + Long^2 = Hypotenuse^2[/tex]
From here we can input the following information that we know
[tex]Short^2 + 4\sqrt{3}^2 = 8^2\\Short^2 + 12 = 64\\Short^2 = 64 - 12\\Short^2 = 42\\Short = \sqrt{42}\\[/tex]
Which are possible employers in the Financial career cluster? Check ALL that apply.
-private company
-government
-nonprofit organization
-bank
-stock market
Answers
Answer:
pretty sure its
government
nonprofit organization
bank
Step-by-step explanation:
doing exam thingy
Answer:
hes right
Step-by-step explanation:
Is 4.53 a real number?
yes or no
Answers
Answer:
yur
Step-by-step explanation:
Answer:
yeah it's a decimal so yes
Find the are of the triangle below in square units
(The triangle is in the picture, please help! :,))
Answers
Answer:
252
Step-by-step explanation:
14 x 6 x 12 = 1008/2 = 504/2 = 252
Select the correct answer. Which is the minimum or maximum value of the given function?
A. The function has a maximum value of -3.
B. The function has a minimum value of -3.
C. The function has a maximum value of -4.
D. The function has a minimum value of -4.
Answers
Answer:
The answer is D I believe
Step-by-step explanation:
If you look at the lowest point it lands on -4
Factorise using the sum and product method with all the steps!
British curriculum
No links or websites please !
Answers
Answer:
(2x+3)(x-5)
Step-by-step explanation:
Given the expression 2x²-7x-15
Factorize
2x²-10x+3x-15 =0
2x(x-5)+3(x-5)
(2x+3)(x-5)
Hence the factored form of the expression is (2x+3)(x-5)
HI thts way tooo much to answer but ye
Factor the expression to find the zeros
Answers
Answer:
k = (1 , 4)
Step-by-step explanation:
here's your solution
==> k^2 - 5k + 4. [ is expression ]
==> by using middle term split
==> k^2 - 4k - k + 4
==> taking common from each
==> k(k - 4) - 1 (k - 4)
==> (k - 1) , (k - 4).
==> k - 1 = 0
==> k = 1
==> k - 4 = 0
==> k = 4
hence , k = (1 , 4)
hope it helps
If you place a 40-foot ladder against the top of a building and the bottom of the ladder is 17 feet from the bottom of the building, how tall is the building? Round to the nearest tenth of a foot.
Answers
Answer:
no se ingles pero, alguien me puede ayudar?
Answer:
The building is 36.2 ft tall.
Step-by-step explanation:
i got it right on the deltamath
It takes Lauren 13 minutes to walk 1 mile. How many miles can
Lauren walk in 52 minutes?
Answers
Answer:
4
Step-by-step explanation:
if it takes her 13 mins to walk 1 mile and we need to know how many miles she can walk in 52 mins than the equation for this word problem would be: 52÷13=4
The first play in a football game starts at the
50-yard line and results in a gain of 25 yards for
Team A. On the next play, Team B has a gain of
25 yards in the opposite direction. Where is the
ball after the second play?
Answers
If the degree of a term is negative, the term is still a monomial.
A. True
B. False
Answers
Answer:
a
Step-by-step explanation:
Answer:
B) false
Step-by-step explanation:
degree cant be negative because if it was then the trioxians of the neutrino would implode to a sub zero quantum ordinate and the multiverse would incenerate itself and turn into a meca black hole...and that is why we dont want monomials to have a negative degree
I've got 5 questions and I'm very stuck so I yall can pls HELP and answer them for me pls, thank you
Answers
Answer:
1. 11cm
2. 31.2cm
3. 20m
4. 11cm
5. 314feet
Step-by-step explanation:
1. 5.5 × 2 = 11cm
2. 15.6 × 2 = 31.2cm
3. 40m ÷ 2 = 20m
4. From the centre of a circle to the edge is the radius of a circle.
5. Circumference = πD
D = 2r = 2 × 50 = 100
π × 100 = 314feet
TIME REMAINING
43:34
A department store is hiring for the positions of manager, associate manager, and assistant manager. If 15 people have applied for all the positions and are equally qualified for each position, in how many ways can the positions be filled?
Answers
Answer:
The positions can be filled in 2730 ways
Step-by-step explanation:
The number of all posible ways is equal to the number of possibilities of who can become the manager, times the number of possibilities of who can become the associate manager, times the number of possibilities of who can become the assistant manager.
Now...
The number of possibilities of who can become the associate manager = 15
The number of possibilities of who can become the associate manager = 14
(it decrease by one because one person already got the position of manager)
The number of possibilities of who can become the assistant manager = 13
(based on the same logic as for the number of who can become the associate manager)
So now we know the number of ways equals...
15 x 14 x 13 = 2730
Algebra 2 functions. Will mark Brainliest!
Answers
Answer:
f-1(x) is just the opposite of f(x) therefore -x(x-2) =f-1(x)
Step-by-step explanation:
Mike wants to pull as much juice as possible in his cup.His cup is 10.2 inches tall and has a 2.6 inch radius. How much juice can mike pour in his cup
Answers
Answer: [tex]V=216.64\ in.^3[/tex]
Step-by-step explanation:
Given
Height of cup [tex]h=10.2\ inch.[/tex]
radius of cup [tex]r=2.6\ inch.[/tex]
assume the cup is in the shape of a cylinder
The volume of the cylinder is [tex]\pi r^2h[/tex]
Put the values
[tex]\Rightarrow V=\pi \times 2.6^2\times 10.2\\\Rightarrow V=216.64\ in.^3[/tex]
3.
If the researchers add food in the simple maze such that the probability of each mouse turning left is now 0.7, what
is the probability that only one of the two mice will turn left?
Answers
Answer:
0.49
Step-by-step explanation:
Pls mark brainliest if correct!
**NO LINKS** Only need part D
Answers
Answer:
Step-by-step explanation:
Use SOH CAH TOA to recall how the trig functions fit on a triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
well you know it's a 90° so do you know what Sin(90) is? you should :D
I think this is kinda a trick question too b/c Opp here is also Hyp
so it would like like sin(90) = Opp / Hyp but that's 427/427 for this question. seems kinda confusing why ask it that way.. huh :/
sin(90) = 1
What is the area of the rectangle
Answers
the area of rectangle is l*b
Answer:
24 Centimeters
Step-by-step explanation:
L * W
4 * 6
24 Centimeters
Suppose a sample of 256 was taken from a population with a standard deviation of 64 centimeters. What is the margin of error for a 68% confidence interval?
A. 6
B. 8
C. 10
D. 4
Answers
The correct margin of error for a 68% confidence interval is option D 4 centimeters.
Let's calculate the margin of error correctly for a 68% confidence interval.
To calculate the margin of error, we need to determine the critical value associated with a 68% confidence interval. For a normal distribution, the critical value is approximately ±1 standard deviation.
Given that the standard deviation is 64 centimeters, the margin of error can be calculated as:
Margin of Error = 1 * (Standard Deviation / √Sample Size)
= 1 * (64 / √256)
= 1 * (64 / 16)
= 1 * 4
= 4
Therefore, the correct margin of error for a 68% confidence interval, based on the given information, is 4 centimeters. The correct answer is option D.
Know more about interval here:
https://brainly.com/question/30460486
#SPJ8
Answer:
D
Step-by-step explanation:
Just took the test
In circle J with mZHLK = 21°, find the angle measure of minor arc HK .
K
H
L
Answer: m HK
Submit Answer
attempt 2 out of 2
PLZ HELP
Answers
Answer:
HK=42°
Step-by-step explanation:
because the arc of HK is two time bigger than HLK measurement
HLK=1/2HK
21°=1/2HK cross production
HK=2×21°
HK=42°
Question
An ant weighs 8.8x10 pound and can
carry objects up to 5,000 times greater than
its own body weight.
What is the greatest weight, in pounds, the
ant can carry?
Express your answer in standard form.
Answers
Answer: 880000
Step-by-step explanation: 8.8 x 10^ 5 = 880000
An ant can carry 0.044 pound of weight.
Important information:
Weight of an ant is 8.8x10⁻⁶ poundThey can carry objects up to 5,000 times greater than their own body weight.Standard form:Weight of an ant in standard form is:
[tex]8.8x10^{-6}=8.8\times \dfrac{1}{1000000}[/tex] pound
[tex]8.8x10^{-6}=0.0000088[/tex] pound
They can carry objects up to 5,000 times greater than their own body weight. So, the possible weight they can carry is:
[tex]0.0000088\times 5000=0.044[/tex]
Therefore, an ant can carry 0.044 pound of weight.
Find out more about 'Standard form' here:
https://brainly.com/question/7152688
Question 3
Work out...
Answers
Explanation: You have to flip 1/2 and write it as 2/1. 3/2 * 2/1. Then solve the equation.
what is the next step in solving this equation
a. -5x-8=9
b. -13x=9
c. 11x-24=9
d. -21x-24=9
Answers
Hope this helps
can someone please help me with this question??
Answers
Answer:
90
Step-by-step explanation:
radius = 6/2 = 3
(3x3x3x10)/3 = 270/3 = 90
At a car wash fundraiser, $168 was raised for washing 24 cars. The next day, $280 was raised for washing 40 cars. Are the rates equivalent? Explain your reasoning.
Answers
Step-by-step explanation:
168/24 = 7 dollars per car
280/40 = 7 dollars per car
the rates are equivalent.
What is the value of n?
142"
A. 85
B. 470
C. 81°
O O
D. 389
Answers
Answer:
[tex]85[/tex]
Step-by-step explanation:
hope it helps
Answer:
option first (A) 85° is right answer
Please answer correctly
Answers
Explanation: Angle H + Angle L = 180
L +55 = 180
Angle L = 125
KLJ= 125º
Hope this helps!!
Answer this please i am stuck
Answers
Answer:
no one knows i think
Step-by-step explanation:
Answer:
junkijunki
Step-by-step explanation:
for brainiest:):):):):):):):):):):):)
Answers
Answer:
P: 15 Area: 8
Step-by-step explanation:
Use the line to split the shape. For P add all the numbers and add a 4 and a 1 too. For the area, you have to multiply 2 by 2 because of the cube, then mulitply 4 by 1 because 2+2=4 and the other number is one. REMEMBER TO SHOW YOUR WORK AND DOUBLE-CHECK!