The vertex of this parabola is at (1,3). Which of the following could be its
equation?
10
(1,3)
-10
10
- 10+
Answers
Answer:
C. [tex]x = 3\cdot (y-3)^{2}+1[/tex]
Step-by-step explanation:
From Analytical Geometry, the equation of a parabola with axis of symmetry parallel to the x-axis and centered in [tex]V(x,y) = (h,k)[/tex] is described below:
[tex]x-h = C\cdot (y-k)^{2}[/tex] (1)
Where:
[tex]x[/tex] - Independent variable.
[tex]y[/tex] - Dependent variable.
[tex]h[/tex], [tex]k[/tex] - Coordinates of the vertex.
[tex]C[/tex] - Vertex factor.
If we know that [tex]h = 1[/tex] and [tex]k = 3[/tex], then the equation of the parabola is:
[tex]x-1 = C\cdot (y-3)^{2}[/tex]
[tex]x = C\cdot (y-3)^{2}+1[/tex]
Therefore, the option that could be its equation is C.
Related Questions
Social Studies 6
GUYS I DONT UNDERSTAND ONLINE SCHOOL And MY GRADES WENT DOWN
Answers
Answer: Your not alone!
Can anyone please help me figure this problem out?
Answers
Answer:
x = 12
Step-by-step explanation:
Step(i):-
From graph,
The angle of the triangle ∝ = 45°
Given hypotenuse of the triangle
AC = 12√2 and AB = x
Step(ii):-
we will choose sine function
[tex]sin\alpha = \frac{opposite side}{hypotenuse}[/tex]
[tex]sin\alpha = \frac{x}{12\sqrt{2} }[/tex]
Given that an angle ∝ = 45°
[tex]sin45 = \frac{x}{12\sqrt{2} }[/tex]
[tex]\frac{1}{\sqrt{2} } = \frac{x}{12\sqrt{2} }[/tex]
[tex]\frac{1}{1 } = \frac{x}{12}[/tex]
x = 12
Final answer:-
x = 12
£50 is worth €65 how many euros is £220 worth
Answers
Answer:
£220 is worth €247
Select the correct answer from each drop-down menu.
Joanne purchased a new computer for $1,700. She will need to pay $80 each month, Interest free, to pay off the total price of the computer. She
plans to put $150 each month in her savings account, which currently has a balance of $300.
Create an augmented matrix from a system of equations to help Joanne determine when she can pay off the total purchase price of the
computer.
Answers
Answer:
Column 1 Row 1 is 150
Column 1 Row 2 is 80
Column 2 Row 1 is -1
Column 2 Row 2 is 1
Column 3 Row 1 is -300
Column 3 Row 2 is 1,700
Step-by-step explanation:
You can trust me on this. I have done my smart calculations to ensure I am 100% correct. If you think that I am wrong then you are a moron and ignorant.
A tourist in Ireland wants to visit five different cities. If the route is
randomly selected, what is the probability that the tourist will visit the
cities in alphabetical order? Round your answer to three decimal places.
0.004
1.234
0.023
0.008
Answers
Answer:
0.008
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Total outcomes:
He will visit 5 different cities. So the total number of ways this can happen is an arrangment of 5 elements, that is:
[tex]T = A_{5} = 5! = 120[/tex]
Desired outcome:
In alphabetical order, so only one possible outcome, which means that [tex]D = 1[/tex]
Probability:
[tex]p = \frac{D}{T} = \frac{1}{120} = 0.008[/tex
A DVD player is regularly priced at 79.95 and is on sale for 30% off. What is the discount?
Answers
Answer:
$2.40 or $77.55
Step-by-step explanation:
I don't know if you are asking for how much off or what, so I'm doing both
First, we have to find how much we have to take off or what is 30% of 79.95 so our equation is:
79.95 x 0.03 = 2.40
So 30% of 79.95 is $2.40
To find how much our new price sale is, we have to take that $2.40 off so our equation is:
79.95 - 2.4 = 77.55
So our discount price is $77.55
hope this helps:)
Compare 6_|-8| using <,>,=.
Answers
Answer:
>
Step-by-step explanation:
What is the quotient of 513 ÷ 19? You may draw a picture to help you find the quotient.
Enter your answer in the box.
Answers
Answer:
27
Step-by-step explanation:
caculator
Donte scored 55 on his mastery exam. What percent did Donte score?
Answers
Answer: See explanation
Step-by-step explanation:
Your question isn't complete. First and foremost, to be able to solve this, we need to know the total marks of the examination.
Let's assume that the total marks for the exam is 80. Since Donte scored 55 on his mastery exam, the percent that he score will be:
= 55/80 × 100
= 68.75%
can someone please help ;)
Answers
the formula of ONE INTERIOR ANGLE of a REGULAR polygon.
Answers
Answer:
180° - (360/n)°, where n is the number of sides of the polygon.
Step-by-step explanation:
Polygon has n sides.
Divide the polygon radially into n congruent, isosceles triangles.
For each triangle:
vertex angle = (360/n)°
sum of base angles = 180° - vertex angle = 180° - (360/n)°
Each interior angle of the n-gon = 180° - (360/n)°
Solve the Equation:
x=5 2/3=9
Answers
Answer:
sorry cnat help ya!
Step-by-step explanation:
Milk is delivered to a store every 3 days. Bread is delivered to the store every 5 days. Both were delivered today. How many days until they are delivered again on the same day?
Answers
Answer:
15 days
Step-by-step explanation:
3x5=15 days
HELP WILL GIVE BRAINLIEST
Answers
Answer:
B
Step-by-step explanation:
the answer is b because i said so you better listen to me
if the area of the square is 300 square inches, what is the length of each side simplest form?
Answers
Find x. 40 pts and brainliest!
Answers
Answer: x = 6
Step-by-step explanation: In the equation "x / 2 = 3, rewrite the equation as "x = 2 x 3" and solve for "x." The solution is "x = 6."
A minor league baseball stadium has 6000 seats on Beach Tower night the stadium sold 5500 of its available seats. What fraction of the seats were sold
Answers
Answer:
11/12
Step-by-step explanation:
simplify 5500/6000
I first divided by 100 and got
55/60
Then divide by 5 to get
11/12
what is the value of f(g(1))
Answers
Answer: 1
Step-by-step explanation:
All you had to do was multiply g by 1 so f(g(1)) as a value is 1
please help sort what goes where
Answers
SORT
I labeled in the picture provided a way these could be sorted. Greatest Valued Y points. That would be your explanation that states is required.
In Mr. Johnson’s third and fourth period class, 30% of the students scored an A or higher on a quiz. If 15 students scored an A or higher, how many students are in Mr. Johnson’s third and fourth-period classes
Answer quickly THANK YOU!!
Answers
15/50 is 0.3
0.3 = 30%
Answer:50
Step-by-step explanation:
15/30= 0.5 which is 1% of the class
Multiply by 100 to get 100% of the class
0.5x100 = 50
Can someone tell me if this is right
Answers
No you have to right
2:1
4:2
6:3
8:4
These are correct
Connor is cutting a 27 inch piece of wood. He cuts off 3 inches, and then cuts the remaining piece into 6 equal lengths of x feet each.
Answers
Answer:
4
Step-by-step explanation:
5. Explain the relationship between roots and exponents,
You explanation should contain 4-5 complete sentences and an original example, Be sure to also include the following words:
-radicand
-root
exponent
Answers
find each quotient
-18/3
-5/-1
24/-6
-10/-1
-25/5
-8/2
Answers
Answer:
-6
-5
-4
10
-5
-4
Step-by-step explanation:
Answer:
-18/3= -6
-5/-1= -5
24/-6 = -4
- 10/-1=10
-25/5=-5
-8/2=-4
About how many years will it take for $8500 to reach $12,000 at a simple interest rate of 3.5%
Answers
Answer:12
Step-by-step explanation:
8500 x 35% = 297.50 in simple interest per year
12000 - 8500 = 3500 in interest earned in total
3500/297.5 = 11.76 number of years to make total interest from amount per year.
If you round up, almost 12 years .
1. The President is hoisting the flag, but the line has gotten stuck. A
Hardy wants to fix it. He used a 15m ladder and placed it 9m away
base of flag pole. Find the height of flag.
Answers
Answer:
the height of the flag = 12cm
Step-by-step explanation:
inclide ladder length = 15m (hypotenuse)
distance between ladder foot and flag foot= 9m (base)
according to Pythagoras theorem,
(h)^2 = (p)^2 + (b)^2
(15)^2 = (p)^2 + (9)^2
(p)^2 = (15)^2 - (9)^2
(p)^2 = 225-81
p = √144
p= 12 cm
x 16 28 44
y 8 14 22
determine whether y varies directly with x. if so find the constant of variation and write the function rule.
Answers
simple formula for that is y×2=x
Sarah used 3 pound of blueberries to make 1 cup of jam. How many pounds of blueberries would she need
42
to make a cup of jam?
Answers
Answer:
126 pounds of blueberries
Step-by-step explanation:
1cup of jam=3pounds of blueberries
42cups of jam=?
42 X 3=126
Specify the set of B by giving a written description of It’s element where B={ 0,1,4,9,16,25}
Answers
Answer:
B = { square numbers less than 30 }.
or
B = {x/x is square of a whole number; [tex]0 \leq x \leq 5[/tex] }
Step-by-step explanation:
Given the set B
B={ 0,1,4,9,16,25}
Let us check the elements in set B.
[tex]x = 0 = 0^{2}[/tex]
[tex]x\:=\:1\:=\:1^2[/tex]
[tex]x\:=\:4\:=\:2^2[/tex]
[tex]x\:=\:9\:=\:3^2[/tex]
[tex]x\:=\:16\:=\:4^2[/tex]
[tex]x\:=\:25\:=\:5^2[/tex]
It is clear that each element in set B is a square of a whole number.
Thus, we can specify set of B by giving a written description of Its element in a variety of ways, such as:
B = { square numbers less than 30 }.
or
B = {x/x is square of a whole number; [tex]0 \leq x \leq 5[/tex] }
PLS HELP GIVING 100 PTS I NEED IT FOR ASSIGNMENT PLS PLS HELP I GIVE BRANLIEST TOO!!!
Answers
Answer:
The percent error is 83.6.
