A parabola can be drawn given a focus of (-9, -7) and a directrix of x = 9. Write
the equation of the parabola in any form.
Answers
Check the picture below, so the parabola looks more or less like so, with a vertex at (0 , -7), let's recall the vertex is half-way between the focus point and the directrix.
so this horizontal parabola opens up to the left-hand-side, meaning that the "P" distance is a negative value.
[tex]\textit{horizontal parabola vertex form with focus point distance} \\\\ 4p(x- h)=(y- k)^2 \qquad \begin{cases} \stackrel{vertex}{(h,k)}\qquad \stackrel{focus~point}{(h+p,k)}\qquad \stackrel{directrix}{x=h-p}\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix}\\\\ \stackrel{"p"~is~negative}{op ens~\supset}\qquad \stackrel{"p"~is~positive}{op ens~\subset} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]
[tex]\begin{cases} h=0\\ k=-7\\ p=-9 \end{cases}\implies 4(-9)(x-0)~~ = ~~[y-(-7)]^2 \\\\\\ -36x=(y+7)^2\implies x=-\cfrac{1}{36}(y+7)^2[/tex]
Related Questions
Two cars raced at a race track. The faster car traveled 20 mph faster than the slower car. In the time that the slower car traveled 165 miles, the faster car traveled 225 miles. If the speeds of the cars remained constant, how fast did the slower car travel during the race? Distance (mi) 165 Rate (mph) Time (h) 165 Slower Car Faster Car 225 + 20 225 + 20 55 mph 60 mph 75 mph 130 mph
Answers
Answer:
A.
Step-by-step explanation:
t=d/s
The answer is 55 miles
Answer:
55 miles per hour
Step-by-step explanation:
A box contains 2 red marbles, 3 white marbles, 4 green marbles, and 1 blue marble. Two
marbles are drawn at random without replacement. Find the probability of:
Selecting a red marble on both draws.
Answers
Answer:
1/45
Step-by-step explanation:
2/10 * 1/9 = 1/45
2/10= 2 red marbles and 10 marbles in total.
suppose you deposit $2000 in a savings account that pays interest at an annual rate of 5% if no money is added or withdrawn from the account how many years will it take for the account to contain $2500 and how many years will it take for the account to contain $3000
Answers
Answer:
$2500: 4.57 years$3000: 8.31 yearsStep-by-step explanation:
The time required for an account earning compound interest to achieve a particular balance is given by the formula ...
t = log(A/P)/(n·log(1 +r/n))
where principal P is compounded n times per year at annual rate r. A is the account balance after that time. For this problem, n=1.
__
a.Here, we have ...
P = $2000, A = $2500, r = 0.05, n = 1
The number of years is ...
t = log(2500/2000)/log(1.05) ≈ 4.57 . . . years
__
b.For A = $3000, this becomes ...
t = log(3000/2000)/log(1.05) ≈ 8.31 . . . years
Discrete random variables Multiple select question. can have a finite or infinite number of values. have a set of distinct values. are countable. must have a clear upper limit.
Answers
A discrete random variables have some properties that includes:
have a finite or infinite number of valueshave a set of distinct valuesare countable. What is a Discrete random variables?A discrete random variables refers to variables that has either finite or a countable number of possible values.
Generally, a random variable is called continuous if its possible values contain a whole interval of numbers.
Therefore, the Option A , B and C is correct.
Read more about random variables
brainly.com/question/15246027
Flat prats of solid figure
Answers
Answer:
the flat part of a solid figure is a face
BRAINLIEST
Jenna made 2 times as many
bracelets as Meghan. Jenna made
14 bracelets. Which equation represents
the number of bracelets Meghan made?
Answers
Answer:
2x=14
Step-by-step explanation:
Meghan= x
2x=14
2x/2=14/2
x=7
A salad dressing mixture of vinegar and oil is supposed to contain
V
ounces of vinegar for every cup of oil.
Which coordinate is represented on the graph?
Answers
Answer: where is the graph
Step-by-step explanation:
i cant help if there is no graph
A scale model of a volcano is 4 feet tall if the actual height of the volcano is 12,276 feet what is the scale of the model
Answers
Answer:
255.75ft/inch
Step-by-step explanation:
s (scale) = 12,276/4
s = 3069 ft
s = 3069/12
s = 255.75
answer.)s=255.75
explanation:
•divide 12,276' by 4'
•3069'/1'
• 1'=12"
• 3069' divided by 12"
•255.75
Evaluate each expression
Answers
Answer:
See below.
Step-by-step explanation:
Question 1
a = -2 and x = -6
| a + x | / 2 - | a - x | / 2
| -2 + -6 | / 2 - | -2 + 6 | / 2
| -8 | / 2 - | 4 | / 2
8/2 - 4/2
= 4/2
= 2
Question 2
a = -5, b = 4, c = 1, d = -3
| a - b | - | c + d |
| -5 - 4 | - | 1 - 3 |
| -9 | - | -2 |
= 9 - 2
= 7
I don’t get what I’m supposed to do can someone explain?
Answers
Answer:
You will have to create a few models about how light and mechanical waves are absorbed and reflected through different substances. Then you will make two brief paragraphs... the first one explaining the similarities and differences of the light waves on the materials, the second will explain why the materials with their specific properties are suited for their specific functions.
Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!
someone helpp, I don’t know how to solve it nor do I know the answer.
Answers
========================================================
Explanation:
For any parallelogram, the diagonals cut each other in half. Formally this is known as bisection.
What this means is that the pieces AE and CE are the same length.
AE = CE
6x-8 = 2x+24
6x-2x = 24+8
4x = 32
x = 32/4
x = 8
Then we can calculate the length of each piece mention
AE = 6x-8 = 6*8-8 = 48-8 = 40CE = 2x+24 = 2*8+24 = 16+24 = 40Both pieces are 40 units long to confirm we have the correct x value.
Therefore,
AC = AE + CE = 40+40 = 80
has the coordinates given.
H (0, 0), I (-3, -1), J (-1, -2)
Find the new coordinates after the translation 3 unit to the right and 2 units down.
Answers
Answer:
H'(3, -2)I'(0, -3)J'(2, -4)Step-by-step explanation:
The x-coordinate of a point is the number units to the right of the y-axis where the point may be found. Translating the point to the right adds to the x-coordinate. Translating to the left subtracts from the x-coordinate.
The y-coordinate of a point is the number of units above the x-axis where the point may be found. Translating the point upward adds to the y-coordinate. Translating downward subtracts from the y-coordinate.
__
When a point is translated 3 units right and 2 units down, its x-coordinate has 3 added to it, and its y-coordinate has 2 subtracted from it. We can summarize the transformation like this:
(x, y) ⇒ (x +3, y -2)
Applying this transformation to the given points, we find ...
H(0, 0) ⇒ H'(3, -2)
I(-3, -1) ⇒ I'(0, -3)
J(-1, -2) ⇒ J'(2, -4)
Please answer sdjhsdfkds
Answers
Work out the area of this shape. ? cm2
4 cm
9 cm
6 cm
12 cm
Help!!!
Answers
Answer:
84 cm^2
Step-by-step explanation:
Area of triangle + area of rectangle
Area of triangle = 1/2*l*b
= 1/2*8*3= 12 cm^2
Area of rectangle = l*b
= 12*6 = 72 cm^2
Total area= 72+12
= 84 cm^2
d + 3n = 1 can someone help?
Answers
Answer: n = (1 - d) / 3
Step-by-step explanation: We are given with the equation d + 3n = 1 and asked to solve for n in the problem. the first step is to apply subtraction property by subtracting d to each side of the equation. Hence 3 n = 1 - d. next, we use division property by dividing the whole equation by 3.
What is 4(-5z+2)+(-6)
Answers
Answer:
-20z + 2
Step-by-step explanation:
4(-5z + 2) + (-6) =
= -20z + 8 - 6
= -20z + 2
What is SCIENTIFIC NOTATION?
A. A short way to write really long numbers
B. A long way to write really short numbers
C. I don't know...
D. None of the above
Answers
The answer to this is A.
I need help please!!!!
Answers
Answer:
Step-by-step explanation: will u be my friend
What is the relative frequency for students who have been to Alaska? What is the relative frequency for students who have been to Hawaii but not Alaska? What is the relative frequency for students who have not been to Alaska or Hawaii?.
Answers
The relative frequency for students who have been to Alaska, Hawaii but not Alaska, and not to Alaska or Hawaii is 0.28, 0.30, and 0.42 respectively.
What are statistics?Statistics is the study of collection, analysis, interpretation, and presentation of data or to discipline to collect, summarise the data.
The relative frequency for students who have been to Alaska will be
[tex]\rm Relative \ frequency = \dfrac{14}{50}\\\\Relative \ frequency = 0.28[/tex]
The relative frequency for students who have been to Hawaii but not Alaska will be
[tex]\rm Relative \ frequency = \dfrac{15}{50}\\\\Relative \ frequency = 0.30[/tex]
The relative frequency for students who have not been to Alaska or Hawaii will be
[tex]\rm Relative \ frequency = \dfrac{21}{50}\\\\Relative \ frequency = 0.42[/tex]
More about the statistics link is given below.
https://brainly.com/question/10951564
Answer: A= 14/50 B= 15/50 C= 21/50
Step-by-step explanation:
you are welcome
The total number of plants in a garden is modeled by f(x)=2x2−12x, where x represents the number of rows in the garden.
How many rows are in the garden if it has a total of 110 plants?
Answers
Answer:
6 rows are in the garden if it has a total of 110 plants
Let's see
f(x)=1102x²-12x=1102x²-12x-110=02(x+5)(x-11)=0x=-5 or 11Take it positive
rows=x=11If three equal subdivisions of [0,3] are used, what is the Trapezoidal Rule approximation of
Answers
The trapezoidal rule is simply a rule that's used in the approximation of a definite integral.
What is a trapezoidal rule?Your information is incomplete as the details aren't complete. Therefore, an overview will be given.
In this case, the trapezoidal rule is simply a rule that's used in the approximation of a definite integral.
It simply evaluates the area under the curve by dividing the total area into smaller trapezoids rather than using rectangles.
Learn more about trapezoid on:
https://brainly.com/question/1410008
A bedroom is 15 ft long and 12 ft wide. How much will it cost to carpet the room if carpeting costs $22 per square yard?
Answers
Answer:
$1,320
Step-by-step explanation:
To find the area of the bedroom, you must multiply the length and the width. 15 multiplied by 12 is 180, so the area of the bedroom is 180 square feet. There are three feet in a yard, so you must divide the area of the bedroom in feet by 3 in order to get the area of the bedroom in yards. 180 divided by 3 is 60, so the area of the bedroom is 60 square yards. In order to find how much it will cost to carpet the room, you must multiply the area of the bedroom in yards by how much carpeting costs per square yard. 60 multiplied by 22 is 1,320, so it will cost $1,320 in order to carpet the room.
HELP will give 50 pts. A group of friends wants to go to the amusement park. They have $197.75 to spend on parking and admission. Parking is $19, and tickets cost $35.75 per person, including tax. Write and solve an equation which can be used to determine xx, the number of people who can go to the amusement park.
i need to know the equation and the answer
Answers
To write the equation multiply the price per person by x( the number of people that can go) and add the price of parking to get the total cost:
equation: total = 35.75x + 19
to solve for x replace the total with 197.75 and solve for x:
197.75 = 35.75x + 19
Subtract 19 from both sides:
178.75 = 35.75x
Divide both sides by 35.75
X = 5
a total of 5 people can go.
what is 8 less then a number n is 13-
Answers
Answer:
n=21
Step-by-step explanation:
The equation would be n-8=13 then you add the 8 to the other side of the equation so it says n=21.
3.
Noel brings 15 cupcakes to share with her friends at lunch. She gives 13 to her friends
and 2 to her teachers.
Which equation represents this situation?
А.
15+(-13)+(-2) = 0
B.
15 +13 - 2 = 0
C.
15 +13 + 2 = 30
D.
15 - 13 +2=4
Answers
State if the two triangles are congruent. If they are, state how you know.
Answers
All sides are the same. The sides that have 1 red line are the same and the sides that have 2 red lines are the same. Also, the two triangles share a common line in the middle
Answer:
A
Step-by-step explanation:
All sizes are equal and the all corresponding angles are also equal
100 - 4x = 20 + 6x; x=
Answers
Answer:
8 = x
Step-by-step explanation:
100 - 4x = 20 + 6x
100 = 20 + 10x
80 = 10x
8 = x
If 1400 = 100% what is 40% of it
Answers
Answer:
560 is 40% of 1,400
Step-by-step explanation:
40 x 1400/ 100 = 560
560/1400 = 40%
HELP PLEASE. BRAINIEST
Answers
50 cents to 2.50 *I think I am not sure my sister has the same problem she said that one*
Z What is the value of x? 45° ni (2x - 5)