identify the focus and directrix of the graph of the equation x= -1/18^y^2
i don’t get this at all, and need help.
Answers
9514 1404 393
Answer:
B. F(-9/2, 0), x = 9/2
Step-by-step explanation:
One definition of a parabola is that it is all of the points that are equidistant from the focus and the directrix. Among other things, this means the parabola "wraps around" the focus, and opens away from the directrix.
The focus is on the axis of symmetry, so shares a coordinate with the vertex. Since the vertex is a point on the parabola, it is equidistant from the focus and directrix—halfway between them.
The given equation has x get more negative as y increases, so the parabola opens to the left. This means the focus will be a point on the -x axis. Only one answer choice meets that requirement:
focus: (-9/2, 0), directrix: x = 9/2
__
The equation of a parabola with its vertex at the origin can be written as ...
x = 1/(4p)y^2
In this case, we have 4p = -18, so p = -9/2. This is the distance from the vertex to the focus. The negative sign means the focus is to the left of the vertex, and its x-coordinate is -9/2 (as noted above).
Related Questions
The atmosphere of a certain planet is made up of many
elements. What part of the atmosphere is made up of Element
2?
I’ll make you a brilliant answer plsss help
Answers
having troubles solving this question
Answers
Answer:
option c is the correct answer
Answer:
c. 1/3
Step-by-step explanation: Substitute the corresponding x and y values into the slope formula, m = y2-y1/x2-x1. Then simplify the equation and you will get 1/3.
NO LINKS OR ELSE YOU'LL BE REPORTED! Only answer if you're very good at Math.No guessing please.
The fence around a circular garden is 18 feet long.What is the area of the garden to the nearest square foot?Use 3.14 for pi.
Type the answer in the box
________ square feet
Answers
lmk if this helped :)
Indicate by choosing the correct option
whether the following statement is true or
false:
An electronic funds transfer made by a
debtor of HS Stores on 12 June 20.1, is
an example of an item that will appear
on the bank statement of HS Stores but
not in the cash receipts journal of HS
Stores for June 20.1.
True
False
Answers
The circle below has a radius of 10 centimeters. What is the area of the shaded
region?
10 cm
120
A. 10 square centimeters
B. 50 square centimeters
C. 3 square centimeters
D. 100 3 square centimeters
Answers
Explanation
The area of the shaded segment is 100/3π square centimeter
What is a area?
Area is nothing but the surface bounded by the object in 2D.
What is a segment?
A part of a line or curve between two points In circle we can say segment is nothing but a region or area cutoff from the circle by chord.
What is a segment area?
Area bounded by a segment. Area of segment has a formula (θ/360°)πr²
According to the question
θ=120°
radius =10cm
area of segment = (120°/360°)π(10²)
120°/360° =0.333
10²=100
0.333×π×100
33.3π or (100/3)π
Thus area of the shaded segment is 33.3π or (100/3)π square centimeters
To know more about area here
https://brainly.com/question/20898622
#SPJ2
10. Fill in the blank to make an equal problem 2,165 + ______ + 1,678 = 6,414
Answers
Answer:
2,165 + 2571 + 1,678 = 6,414
Step-by-step explanation:
We can say;
=> 2,165 + unknown number + 1,678 = 6,414
So let's add like terms first;
=> 3,843 + unknown number = 6,414
=> unknown number = 6,414 - 3,843
=> unknown number = 2571
Hope this helps!
Answer:
2571
Step-by-step explanation:
Let x be the blank.
2165 + x + 1678 = 6414
3843 + x = 6414 (combine like terms)
x = 2571
In the figure below, YZA and YZX are right angles, XYZ and AYZ are
congruent, and XZ = 10. What is the length of ZA ?
Answers
Answer:
10
Step-by-step explanation:
Triangles AYZ and XYZ are congrunt, therefore AZ = XZ = 10
A project to build a new bridge seems to be going very well since the project is well ahead of schedule and costs seem to be running very low. A major milestone has been reached where the first two activities have been totally completed and the third activity is 60 percent complete. The planners were expecting to be only 50 percent through the third activity at this time. The first activity involves prepping the site for the bridge. It was expected that this would cost $1,420,000 and it was done for only $1,300,000. The second activity was the pouring of concrete for the bridge. This was expected to cost $10,500,000 but was actually done for $9,000,000. The third and final activity is the actual construction of the bridge superstructure. This was expected to cost a total of $8,500,000. To date they have spent $5,000,000 on the superstructure. Calculate the schedule variance, schedule performance index, and cost performance index for the project to date.
Answers
Answer:
Scheduled Variance = $850,000.00
Schedule Performance Index = 1.05
Cost Performance Index = 1.11
Step-by-step explanation:
Note: See the attached excel file for the calculations of Total Actual Cost to Date, Budgeted Cost of Work Scheduled (BCWS), and Budgeted Cost of Work Performed (BCWP).
From the attached excel file, we have:
Total Actual Cost to Date = $15,300,000
Total BCWS = $16,170,000
Total BCWP = $17,020,000
Therefore, we have:
Scheduled Variance = Total BCWP - Total BCWS = $17,020,000 - $16,170,000 = $850,000.00
Schedule Performance Index = Total BCWP / Total BCWS = $17,020,000 / $16,170,000 = 1.05
Cost Variance = Total BCWP - Total actual cost to date = $17,020,000 - $15,300,000 = $1,720,000
Cost Performance Index = Total BCWP / Total actual cost to date = $17,020,000 / $15,300,000 = 1.11
In order to safely land, the angle that a plane approaches the runway should be no more than 15°. A plane is approaching Ottawa Macdonald–Cartier International Airport to land. It is at an altitude of 500 m and a horizontal distance of 3 km from the start of the runway. At what angle is the plane approaching and is it safe for the plane to land?
Answers
9514 1404 393
Answer:
9.5°, yes
Step-by-step explanation:
The relevant trig relation is ...
Tan = Opposite/Adjacent
The distance opposite the angle of elevation is the plane's height, 500 m. The distance adjacent to the angle of elevation is the horizontal distance to the plane, 3 km = 3000 m. Then the angle is found from ...
tan(α) = 500/3000 = 1/6
α = arctan(1/6) ≈ 9.46°
The plane is approaching at an angle of 9.46°. It is safe to land, since that angle is less than 15°.
_____
Additional comment
The usual descent angle for most commercial air traffic is 3°. Some airport geography demands it be different (steeper). A higher descent angle can put undue stress on the landing gear.
What is the probability of the spinner landing on 1 or 3
Answers
Answer:
Assuming there are 3 possibilities for the spinner, the answer is [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
does anyone know the answer?
Answers
Answer:
is it correct please tell
-2.666
Please Mark BRAINLIEST!
What is the median of the data set? 32, 41,43,50,70,73,80,88
Answers
Answer:
60
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
60
Step-by-step explanation:
1) Find the two middle numbers: 50 and 70.
2) Take the average of both #'s to get your answer: 60.
HELP ASAP 35 POINTS
Answers
Answer:
Given function:
y = -x² + 6Fill in the table by substituting the value of x:
x = 0 ⇒ y = - 0² + 6 = 6x = 1 ⇒ y = - 1² + 6 = 5x = -1 ⇒ y = -(-1)² + 6 = 5x = 2 ⇒ y = -2² + 6 = 2x = -2 ⇒ y = -(-2)² + 6 = 2The graph is attached
Julio wants to purchase a truck. The purchase price of the truck is $ 38 , 000.00 The dealership will allow him to pay cash or finance the truck for a down payment of $ 5 , 000.00 and 60 monthly payments of $ 750.00. Julio chooses to finance the truck. Answer the following questions. a) What is the amount financed? b) What is the total amount of monthly payments? c} What is the amount of the finance charge?
Answers
Answer:
1000000 kexvixevixev84fvi4fddeyhxe
64 is what percent of 80
Answers
Answer:
80%
Step-by-step explanation:
x : 100 = 64 : 80
x = (100 * 64)/80 = 80%
Answer:
80%
Step-by-step explanation:
Is means equals and of means multiply
64 = P * 80
Divide each side by 80
64/80 = P
.8 = P
Change to percent form by multiplying by 100
80% = P
Can someone answer this I’ll give brainliest
Answers
Answer:
7/13
Step-by-step explanation:
Arrange the numbers so that the number of girls in year 10 is the numerator, and the total number of girls is the denominator. (140/260) Simplify this by dividing both numbers by 20.
I don’t get this one but the question was something about finding the equation.
Answers
9514 1404 393
Answer:
y = -(x -3)^2 +2
Step-by-step explanation:
The vertex form of the equation for a parabola is ...
y = a(x -h)^2 +k
where the vertex is (h, k) and the value 'a' is a vertical scale factor.
The value of 'a' can be found by looking at the y-value of points ±1 either side of the vertex relative to the vertex. Here, the vertex y-value is +2 at x=3, and either side goes down 1 unit (to y=1) for 1 unit to the right or left. So, a = -1.
Using the values we've read from the graph for the vertex (h, k) = (3, 2) and the scale factor a = -1, we can write the equation as ...
y = -(x -3)^2 +2
help no links or any other stuff please
Answers
Answer:
z = 2.2
Step-by-step explanation:
[tex]-\frac{z}{0.5} + 1.4 = -3\\\\-\frac{z \times 10}{0.5 \times 10} + 1.4 = -3\\\\-2z + 1.4 = -3\\\\-2z = -3 - 1.4\\\\-2z = -4.4\\\\z = \frac{-4.4}{-2}\\\\z = 2.2[/tex]
At the beginning of the week, Josh had 323232 computer games, 133\33, percent as many computer games as Peter had. By the end of the week, Josh gave 25\%%, percent of his computer games to Peter. How many computer games did Josh and Peter each have by the end of the week
Answers
Answer:
[tex]Josh =24[/tex]
[tex]Peter = 32[/tex]
Step-by-step explanation:
Given
Beginning of Week
[tex]Josh = 32[/tex]
[tex]Josh = 133\% * Peter[/tex]
First, we calculate the amount Peter has at the beginning of the week
[tex]Josh = 133\% * Peter[/tex]
Make Peter the subject
[tex]Peter = \frac{Josh}{133\%}[/tex]
[tex]Peter = \frac{32}{133\%}[/tex]
[tex]Peter = \frac{32}{1.33}[/tex]
[tex]Peter = 24[/tex]
When Josh gave out 25%.
The number (n) of computers is:
[tex]n = Josh * 25\%[/tex]
[tex]n = 32 * 25\%[/tex]
[tex]n = 8[/tex]
This means that Josh gave out 8 computers.
So, the amount they both have is:
[tex]Josh =32 - 8[/tex]
[tex]Josh =24[/tex]
[tex]Peter = 24+8[/tex]
[tex]Peter = 32[/tex]
Please check my function,
Tell my function right or not, And if not please tell me how to correct
Answers
Answer:
yes, i think it is correct :)
Step-by-step explanation:
Help me solve this please !
Answers
Answer:
The answer is D, 14. This is because those bars are asking for absolute value, meaning you simply change any negative to a positive and give its value in general instead of as a negative or positive
Which figure can be formed from the net?
6 cm
4 cm
4 cm
6 cm
4 cm
4 cm
6 cm
6 cm
Answers
Answer:
It's the fourth option, the bottom right one
The last one is the answer to the right. look at the base you can understand it from there, the net that shows from the question is a square base pyramid so that means you have to look for square base and that will give you the correct answer.
Joe has 23 carnival ride tickets and it takes 3 tickets to ride the roller coaster how many times can he ride the coaster how many tickets will he have left over
Answers
Answer:
JIKA ANDA YANG
Step-by-step explanation:
yang bales anak yang
[tex]5 { \frac{3 \frac{ + > }{?} }{?} }^{?} [/tex]
Answer:
20
Step-by-step explanation:
He has 23 carnival ride tickets and it takes 3 tickets to ride a roller coaster
so 23 - 3 = 20
Alexandra plays poker with seven friends. Each of the eight players starts with 60 chips, but players take chips from one another as play progresses. The goal of the game is to win all of the chips. A player drops out of the game if she loses all her chips to other players in the game. After five players have dropped out of the game, what is the average number of chips each of the remaining players has
Answers
Answer:
160 chips
Step-by-step explanation:
Given
[tex]n = 8[/tex] --- players
[tex]c = 60[/tex] --- chips per player
First, calculate the total chips
[tex]Total = n * c[/tex]
[tex]Total = 8 * 60[/tex]
[tex]Total = 480[/tex]
After 5 players are out; there are 3 players remaining in the game
So, the average number of chip with each of the remaining player is:
[tex]Average = \frac{Total}{n-5}[/tex]
[tex]Average = \frac{480}{8-5}[/tex]
[tex]Average = \frac{480}{3}[/tex]
[tex]Average = 160[/tex]
A public health organization reports that 30% of baby boys 6 - 8 months old in the United States weigh more than 20 pounds. A sample of 15 babies is studied. Round the answers to three decimal places. Part 1 of 4 (a) What is the probability that exactly 5 of them weigh more than 20 pounds
Answers
Answer:
0.206 = 20.6% probability that exactly 5 of them weigh more than 20 pounds.
Step-by-step explanation:
For each baby, there are only two possible outcomes. Either they weigh more than 20 pounds, or they do not. The probability of a baby weighing more than 20 pounds is independent of any other baby, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
A public health organization reports that 30% of baby boys 6 - 8 months old in the United States weigh more than 20 pounds.
This means that [tex]p = 0.3[/tex]
A sample of 15 babies is studied.
This means that [tex]n = 15[/tex]
What is the probability that exactly 5 of them weigh more than 20 pounds
This is P(X = 5). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 5) = C_{15,5}.(0.3)^{5}.(0.7)^{10} = 0.206[/tex]
0.206 = 20.6% probability that exactly 5 of them weigh more than 20 pounds.
ASAP PlS First answer mark as Brainlist.
Answers
Answer:
9 servings
Step-by-step explanation:
what is equivalent to 4 to the power of 3
Answers
Answer:
64
Step-by-step explanation:
because you multiply 4 by it self
when using exponents the number above is how many times you multiply the number by itself
4^3=64
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!
Answers
Answer:
216
Step-by-step explanation:
outcome of one die is 1 out of 6 and if you roll 3 dices, the outcome is 216 possible outcomes because 6 times 6 times 6 is 6 cubed or 216
f(x)=5^x+1 what’s the rate of change between x=0 and x=4
Answers
Answer:
156
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationAverage Rate of Change: [tex]\displaystyle \displaystyle \frac{f(b) - f(a)}{b - a}[/tex]Step-by-step explanation:
Step 1; Define
Identify
f(x) = 5ˣ + 1
Interval x [0, 4] →b = 4, a = 0
Step 2: Find Rate of Change
Substitute in variables [Average Rate of Change]: [tex]\displaystyle \displaystyle \frac{f(4) - f(0)}{4 - 0}[/tex][Average Rate of Change] Substitute in x [Function f(x)]: [tex]\displaystyle \displaystyle \frac{(5^4 + 1) - (5^0 + 1)}{4 - 0}[/tex](Parenthesis) Evaluate exponents: [tex]\displaystyle \displaystyle \frac{(625 + 1) - (1 + 1)}{4 - 0}[/tex](Parenthesis) Add: [tex]\displaystyle \displaystyle \frac{626 - 2}{4 - 0}[/tex][Fraction] Subtract: [tex]\displaystyle \displaystyle \frac{624}{4}[/tex]Divide: [tex]\displaystyle \displaystyle 156[/tex]Can someone please answer this question for me with explanation bc im kinda having a hard time
Answers
Answer:
Step-by-step explanation:
First we find out the area of circle, and then subtract the area of triangle from it to find the area of the shaded region
Area of Circle
Here, r=radius
area of circle= π×r²
= π × 5² (radius=half of diameter)
= 25π
= 78.54cm²
Area of Triangle
Here, b=base, h=height
area of triangle = [tex]\frac{1}{2\\}[/tex]×b×h
= [tex]\frac{1}{2}[/tex]×8×6
= 24cm²
Area of shaded region= area of circle - area of triangle
= 78.54 - 24
= 54.54
≈ 54.5cm² [Ans]
