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]
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Answer:
A
Step-by-step explanation:
All sizes are equal and the all corresponding angles are also equal
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Answer:
8 = x
Step-by-step explanation:
100 - 4x = 20 + 6x
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80 = 10x
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Step-by-step explanation:
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Answer:
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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:
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If three equal subdivisions of [0,3] are used, what is the Trapezoidal Rule approximation of
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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.
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What is SCIENTIFIC NOTATION?
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B. A long way to write really short numbers
C. I don't know...
D. None of the above
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The answer to this is A.
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)
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
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
I don’t get what I’m supposed to do can someone explain?
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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!
What is 4(-5z+2)+(-6)
Answers
Answer:
-20z + 2
Step-by-step explanation:
4(-5z + 2) + (-6) =
= -20z + 8 - 6
= -20z + 2
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Answers
Answer:
6 rows are in the garden if it has a total of 110 plants
Let's see
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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?.
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The relative frequency for students who have been to Alaska will be
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The relative frequency for students who have been to Hawaii but not Alaska will be
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The relative frequency for students who have not been to Alaska or Hawaii will be
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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
A salad dressing mixture of vinegar and oil is supposed to contain
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Which coordinate is represented on the graph?
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Answer: where is the graph
Step-by-step explanation:
i cant help if there is no graph
3.
Noel brings 15 cupcakes to share with her friends at lunch. She gives 13 to her friends
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А.
15+(-13)+(-2) = 0
B.
15 +13 - 2 = 0
C.
15 +13 + 2 = 30
D.
15 - 13 +2=4
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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.
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A discrete random variables have some properties that includes:
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Answers
Answer:
n=21
Step-by-step explanation:
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Z What is the value of x? 45° ni (2x - 5)
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A box contains 2 red marbles, 3 white marbles, 4 green marbles, and 1 blue marble. Two
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Selecting a red marble on both draws.
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Answer:
1/45
Step-by-step explanation:
2/10 * 1/9 = 1/45
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If 1400 = 100% what is 40% of it
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Answer:
560 is 40% of 1,400
Step-by-step explanation:
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Jenna made 2 times as many
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Answers
Answer:
2x=14
Step-by-step explanation:
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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.
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
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
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
I need help please!!!!
Answers
Answer:
Step-by-step explanation: will u be my friend