The equation of directrix of the parabola will be x = -4.
What is directrix ?Directrix is a straight line distance to which from any point of a conic section is in fixed ratio to the distance from the same point to a focus. The directrix is perpendicular to the axis of symmetry and does not touch the parabola.
We have,
Vertex of parabola = (0, 0),
Focus of the parabola = (4, 0),
Now,
The Equation of directrix is given by y = -a
Where,
The equation of the parabola, [tex]y^2 = 4ax[/tex],
And,
Focus at (a, 0),
i.e. a = 4 (As the given focus is (4, 0))
And,
The axis of the parabola is the positive x − axis.
So,
The equation of the directrix of this parabola,
x + a = 0,
i.e.
x + 4 = 0
⇒
x = -4
Hence, we can say that the equation of directrix of the parabola will be x = -4.
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3x-4/5=-1/2 what is the value of x ?
Answer:
the value of x is 0.1
Step-by-step explanation:
i hope this helped
have a good day
help pleasee! i have to turn this in soon
b 35 is the answer sorry if I'm worng
Arnie is mixing red and yellow paints to make two different shades of orange. To make 1 cup of dark orange paint, he needs 7 ounces of red paint and 1 ounce of yellow paint. To make 2 cups of light orange paint, he needs 13 ounces of yellow paint and 3 ounces of red paint. Answer parts a and b.
Answer:
Arnie has enough red paint
Step-by-step explanation:
step 1
Find out the number of ounces of red paint needed to make 3 cups of dark orange paint
Let
x -----> number of ounces of red paint
y -----> number of ounces of yellow paint
z ----> cups of dark orange
we know that
\frac{x}{z}=\frac{7}{1}\ \frac{ounces\ red\ paint}{cups\ dark\ orange}
z
x
=
1
7
cups dark orange
ounces red paint
so
For z=3 cups
substitute and solve for x
\frac{x}{3}=\frac{7}{1}
3
x
=
1
7
x=21\ ounces\ of\ red\ paintx=21 ounces of red paint
step 2
Find out the number of ounces of red paint needed to make 3 cups of light orange paint
Let
x -----> number of ounces of red paint
y -----> number of ounces of yellow paint
z ----> cups of light orange
we know that
\frac{x}{z}=\frac{3}{2}\ \frac{ounces\ red\ paint}{cups\ light\ orange}
z
x
=
2
3
cups light orange
ounces red paint
so
For z=3 cups
substitute and solve for x
\frac{x}{3}=\frac{3}{2}
3
x
=
2
3
x=4.5\ ounces\ of\ red\ paintx=4.5 ounces of red paint
step 3
Adds the ounces of red paint
21+4.5=25.5\ ounces\ of\ red\ paint21+4.5=25.5 ounces of red paint
25.5\ ounces < 32\ ounces25.5 ounces<32 ounces
therefore
Arnie has enough red paint
Finding missing angles
please help!! i really need it
Answer:
95°
Step-by-step explanation:
The angles have the same degrees
What ratio in simplest form. 36:12
what is 5n+15 in distributive property
Answer:
5(n+3)
Step-by-step explanation:
factor both of them
their common number is 5
divide 5 by each of them
5/5=1
15/5=3
What number has a absolute of 10?
Answer:
10
Step-by-step explanation:
Answer:
10, -10, [tex]\sqrt{100} =10[/tex]
Step-by-step explanation:
id k if you are asking for the absolute value, but I hope this helps.
Help with this problem please!!!!!
Answer:
3
Step-by-step explanation:
Ms. O'Rourke has graded 20% of her 150 students'
papers. How many papers does she still need to finish
grading?
Answer:
150−30=120 papers are still left to do
Step-by-step explanation:
150−30=120 papers are still left to do
Kari plans to sample 20 people of a population that contains 100 students. She wants to determine how many people wake up before 6 a.m. Which sample is the most random?
the first 20 students who arrive at school in the morning
all 20 boys on the swim team
5 students out of each of the 4 homeroom classes
the last 20 people in line for breakfast in the cafeteria
Answer:
5 students out of each of the 4 homeroom classes
Step-by-step explanation:
The most random sample is 5 students out of each of the 4 homeroom classes.
Thus, option (C) is correct.
Selecting 5 students from each of the 4 homeroom classes ensures that the sample represents a diverse range of students from different classes.
This approach helps to minimize bias and increase the randomness of the sample.
The other options, such as selecting the first 20 students who arrive at school or the last 20 people in line for breakfast, may introduce some bias based on the specific circumstances or characteristics of those groups. Selecting all 20 boys on the swim team would also not provide a representative sample of the overall student population.
Thus, option (C) is correct.
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PLZ PLZ PLZ PLZ HELP ME WITH THIS QUESTION
Alex is trying to save $230 to buy a new tablet. Right now, he has $40 and can save $38 a week from
his allowance. Write and solve an inequality that can be used to find the minimum number of weeks it
will take Alex to have the money to buy the tablet. Write a sentence to interpret your solution.
Answer:
Step-by-step explanation:
So we know that Alex is trying to save $230.
He already has forty dollars so we can take forty away from two hundred and thirty. This leaves us with $190 that we need to save.
If he is saving $38 per week. We can divide or estimate and multiply. I prefer to multiply so that is the method I will use right now.
38×5= 190
Therefore, Alex will have enough money to buy a tablet in five weeks.
I hope I am correct and I explained this in a way that you can understand and do it yourself next time.
~~LampteyJ~~
HELPPP PlEASE !!!
Which equation best represents the function graphed above?
What is the sum of 15 and its additive inverse?
O A. -30
B. -15
oc. O
OD. 1
O E. 30
Answer:
The answer is C, zero
Step-by-step explanation:
Additive inverses are numbers that equal zero when added together.
y=-x + 4 slope = y-intercept =
Answer: y intercept is 4
Step-by-step explanation:
the number + or - after x is the y intercept
PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!
SHOW THE WORK PLEASEEEE!!!
Answer:
4x^10y^8
Step-by-step explanation:
Get gud at math you newb
Answer:
2x^7y^6
Step-by-step explanation:
you do x^5 = X x X x X x X x X and x^2 is X x X so X^5 x X^2 is X x X x X x X x X x X x X which can be simplified to X^7
and the same for y
y^4 = Y x Y x Y x Y and y^2 is Y x Y, so Y^4 x Y^2 = Y x Y x Y x Y x Y x Y which simplifies to Y^6
I hope thats right :)
Need help ASAP please and thanks
Answer:
4,3
Step-by-step explanation:
i think im sure
HELP I NEED HELP ASAP
The side length of a square is represented by the expression 10x-6 centimeters. The side length of the square is doubled and then reduced by 4 centimeters to create the side length of a new square. Which expression represents the area of the new square?
Answer:
D) 400x²-640x+256
Step-by-step explanation:
2(10x-6)-4=20x-16
(20x-16)(20x-16)=
400x²-640x+256
Which best describes the two-dimensional shape created by the cross-section shown on the cylinder?
A.Cirlcle
B.Square
C.Ellipse
D.Rectangle
Answer:
Step-by-step explanation:
Answer:
B
Step-by-step explanation: im just smart
In a year, there are 4 months that have 30 days.
What is the ratio of the months with 30 days to the months with other than 30 days?
2 to 1
1 to 3
1 to 2
3 to 1
what is the value of x
7 square root 2
14
7 square root 3
7square root 2 over 2
7 square root 3 over 3
Answer:
I had this question yester day.
Step-by-step explanation:
PLS HELP WITH MY TESTTTT.... ITS INEQUALITIESSSSSSSSSSS
Answer:
J
Step-by-step explanation:
34.7+6.3 would =41
40.9 cannot be more than 41, so it is not a possible solution
Johnny has 196 baseball cards. He has 7 pages to put them on. How many cards should go on each page?
23 baseball cards
33 baseball cards
18 baseball cards
28 baseball cards
Answer:
33
Step-by-step explanation:
Factor"
b(a+1)^2 - 5(a+1)
PLS HELP WILL MARK BRAINLIEST
Answer:
To factor out the following expression you would you would need to remove the (a + 1) term out of the expression, which leads to :
(a+1) (b(a+1) - 5
Step-by-step explanation:
This is the final expression
Write an inequality for the graph below.
'न
34
10
।। 12 13 14
Answer:
i like cheese wbu hahahahahaha
Enter two or moro numbers in the table to create a
histogram
Data
Enter the data to create a histogram. Then check all
that apply
runs
17
1
6
12868
0
The histogram has 1 cluster,
The histogram has 2 clusters,
The histogram has 1 peak,
The histogram has 4 peaks,
The histogram has 0 frequency from 4-5.
Show histogram
Answer:
b The histogram has 2 clusters.
c The histogram has 1 peak.
e The histogram has 0 frequency from 4-5.
Step-by-step explanation:
Answer: rileyayers85 is correct
Step-by-step explanation:
I got the answer right
Makayla has a smart phone data plan that costs $45 per month that includes 2 GB of data, but will charge an extra $20 per GB over the included amount. How much would makayla have to pay in a month where she used 3 GB over the limit? How much would makayla have to pay in a month where she used went over by x GB?
Answer:
65?..................
Linear Equations Digital Escape! Can you find the slope-intercept equation of each line and type the correct code?
Answer: I can if there’s a picture...
Step-by-step explanation:
Answer: cgia
Step-by-step explanation:
Find the circumference of the circle.
Answer:
11[tex]\pi[/tex]
Step-by-step explanation:
To find the circumference of a circle, the formula is:
d * [tex]\pi[/tex] = c
We already know the diameter, so we just plug that in:
11 * [tex]\pi[/tex] = c
11[tex]\pi[/tex] = c
Let me know if you have any questions.
Mr. Gonzalez is designing a planter box shaped like a rectangular prism. The width of the box is 6 feet, and the length is 4 feet. Find the height of the box if the volume is 150 cubic feet.
Answer: 6.25
Step-by-step explanation:
6•4•(6.25)= 150