Find the required information and then graph the parabola.
x = y^2 – 6y + 8
Vertex:
Focus:
Directrix:
Answers
[tex]x = y {}^{2} - 6y + 8 \\ - y {}^{2} + 6y = 8 - x \\ - y {}^{2} + 6y = - x + 8 \\ y {}^{2} - 6y = x - 8 \\ y {}^{2} - 6y + 9 = x - 8 + 9 \\ (y - 3) {}^{2} = x + 1 \\ [/tex]
= (-1,3)Focus:[tex]x = y {}^{2} - 6y + 8 \\ x + 9 = y {}^{2} - 6y + 9 + 8 \\ x + 9 = = (y - 3) {}^{2} + 8 \\ x = (y - 3) {}^{2} + 8 - 9 \\ = x = (y - 3) {}^{2} - 1[/tex]
Directix:[tex]x = y {}^{2} - 6y + 8 \\ x = y {}^{2} - 2y - 4y + 8 \\ x = y \times (y - 2) - 4(y - 2) \\ = x = (y - 2) \times (y - 4)[/tex]
I hope it's all right!Please feel free to correct me if im wrong.please give me brainliest.
Related Questions
Matt has 11 white buttons. He has 9 fewer brown buttons than white buttons. Matt has 17 more grey buttons than brown buttons. How many buttons does Matt have in all?
Answers
Answer: 32 buttons
Step-by-step explanation:
Matt has 11 white buttons.
Matt has 9 fewer brown buttons than white buttons. This means he has (11 -9) = 2 brown buttons
Matt has 17 more grey buttons than brown buttons. This means that he has (2 + 17) = 19 grey buttons.
The total number of buttons that Matt has will be;
= 11 white + 2 brown + 19 grey
= 32 buttons
What are the dimensions of the rectangle shown on the coordinate plane? On a coordinate plane, a rectangle has points (1, negative 1), (10, negative 1), (10, negative 5), (1, negative 5). The base is 3 units and the height is 9 units. The base is 9 units and the height is 4 units. The base is 10 units and the height is 4 units. The base is 11 units and the height is 6 units. HURRRY 20 POINTS AND MORE IF RIGHT
Answers
Answer:
The base is 9 units and the height is 4 units.
Step-by-step explanation:
A total of 120 smoothies were sold on the first day of the month from July-December. True or false
Answers
Answer:
the answer would basically be 720 smoothies in total from Jul.-Dec.
Step-by-step explanation:
YWW :)
Can someone help with putting this sign on the pc with the line under it please
Answers
Answer:
greaterthan or eaqual too
Step-by-step explanation:
1/3 x 1/4 = ?????????
Answers
Answer:
1/12
Step-by-step explanation:
1/4 X 1/3 = 1/12
Answer:
1/12
Step-by-step explanation:
When multiplying fractions, you multiply it like normal numbers, so 1 is multiplied by 1, and 3 is multiplied by 4.
For example:
3/4 x 9/10 would be equal to 27/40 because the 3 is multiplied by 9 and 4 is multiplied by 10.
3 x 9 = 27
4 x 10 40
27/40
Therefore on your question it would be 1/12.
<2 and <6 can be classified as:
A. same-side interior angles
B. corresponding angles
C. alternate exterior angles
D. alternate interior angles
Answers
Answer:
b corresponding angles
13) What answer contains the correct equations for this context?*
The student council at Jefferson High School
sold a total of 220 brownies and cookies during
its fund-raiser. Each brownie sold for $0.75,
and each cookie sold for $0.50. The student
council made $136.50 from the sales of
brownies and cookies. Which system of linear
equations can be used to find b, the number
of brownies sold, and c, the number of cookies
sold?
A. b + c = 220
0.506 + 0.75c = 136.50
B. b + c = 136.50
0.75b + 0.50c = 220
C. b + c = 136.50
0.50b + 0.75c = 220
D. b + c = 220
0.75b + 0.50c = 136.50
Pick one
A
B
C
D
Answers
Please help me quick please solve in inequality form
Answers
Answer:
D
Step-by-step explanation:
If the interior angle sum of a regular polygon is 5, 940 degrees, how many sides does it have?
Answers
An apple, potato, and onion all taste the same if you eat them with your nose plugged
PLEASE HELP !!!! i literally dont know what im doing and i need to start getting ready for work but im really trynna finish this so please someone help. NO LINKS OR FILES OR I WILL REPORT
Answers
Answer:
(x + 6) (x + 8)
explanation:
x times x = x^2
6 x 8 = 48
6 +8 = 14
WILL GIVE BRAINLIEST IF RIGHT!!
If MN = x-5 and NP = 2x-1 and MP = 21, find x
Answers
Answer:
free v
Step-by-step explanation:
rwfgg
Answer:
MP = MN + NP
21 = (x - 5) + (2x - 1)
21 = x - 5 + 2x - 1
21 = 3x -6
3x = 21 + 6
3x = 27
x = 9
A recipe calls for 2 cups of flour to make a cake that feeds 8 people. You are having a party for 60 people and therefore need more flour. You go to the store and find that they only have one kind of flour which is sold in bags of 32 ounces. So how many bags of flour do you need to buy? (note that 1 cup is 8 ounces)
Answers
Answer: 4 bags
Step-by-step explanation:
2 cups = 16 ounces
So using a proportion
16 / 8 = x / 60 where x is the number of ounces we need to buy
cross-multiply
16 * 60 = 8 * x
960 = 8 x
960 / 8 = x = 120 ounces
The number of bags we need = ceiling [ 120/32 ] = 4 bags
hope you accept my friend invitation
LOOK AT THE PICTURE PLZ NEED HELP!
Answers
Answer:
J
Step-by-step explanation:
Sorry I'm very busy so no step by step
A pants is marked down from $25 to $19. What is the percent of
change?
Answers
Answer:
19/25 = x/100
Cross multiply:
1,900
Divide 1,900 by 25
Equals 76
Subtract 76 from 100
Answer: 24% change
hope this helps
have a good day :)
Step-by-step explanation:
a company packages stickers in sets of 40. if each set costs $80.85, what is the cost of 240 stickers?
Answers
Answer:
485.10
Step-by-step explanation:
250/80.85 = 2.96
In the nearest tenth, the answer is 3
Evaluate the expression 9 + 8 − 2 x 4.
B 11
C 13
D 16
A 9
Answers
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{9 + 8 - 2 }\times\large\text{ 4}\\\large\text{9 + 8 = \bf 17}\\\large\text{17 - 2 }\times\large\text{ 4}\\\large\text{2 }\times\large\text{ 4 = \bf 8}\\\large\text{17 - 8 }\\\large\text{\bf = 9}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf D. 9}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
100 students are interviewed to see which of biology, chemistry or physics they prefer.
72 of the students are girls. 34 of the girls like biology best.
11 of the boys prefer physics.
24 out of the 27 who prefer chemistry are girls.
What percentage of the students prefer biology?
Answers
Answer:
62%
Step-by-step explanation:
34 girls like biology
? boys like biology
It is 34%≤
27% Prefer chemistry
11% prefer physics
27 + 11 = 38
100 - 38 = 62
let me know if i'm wrong
A factory has a container filled with 35,874 litres of cold drink. In how many bottles of 21 L capacity each can it be filled ? How much drink will be left behind?
Answers
Answer:
Number of bottles= 1,708
Step-by-step explanation:
Giving the following information:
Total liters= 35,874 litres
Bottle capacity= 21 liters
To calculate the number of bottles that can be filled given the actual capacity, we need to use the following formula:
Number of bottles= total liters / cottle capacity
Number of bottles= 35,874 / 21
Number of bottles= 1,708
Norfolk island near Australia has an area of 36 square kilometers .The area of Bermuda is 1.8 times that of Norfolk island. To the nearest tenth what is the area of Bermuda
Answers
Answer:64.8km squared
Step-by-step explanation: 36 x 1.8 = 64.8
hii i’ll give brainliest please help thanks :)
Answers
Answer: D. 78
Step-by-step explanation:
71 73 74 75 78 85 85 90 97
(order them in numerical value, least to greatest)
take off one number from each side until you have one number left
Answer: 78
Step-by-step explanation: The median is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of that data set than the average. Write all of the numbers and cross out a even amount of numbers on both sides. Image 1 shows your problem. If your problem had another number, you solve it differently. Check image 2.
What is the length of the missing side, x? Bottom line in the first picture
Answers
Answer:
51
Step-by-step explanation:
Total triangle 180 degree
Missing side = 180-74-55
What is the answer rounded to the nearest tenth help me ASAP
Answers
Answer:
0.1
Step-by-step explanation:
If you divide 13 by 117, to see how long it is compared to you mph, you get 1/9. Essentially 13 is 1/9th of 117. Convert 1/9 to decimal to get 0.11111. To the nearest tenth, since 1 is lower than 5, is 0.1
A shelf is built on a wall, as shown below. What is the value of x?
Answers
Answer:
Step-by-step explanation:
Given:
A shelf is built on a wall. The angles of the triangle are given as (x + 3)°, (2x - 18)° and 90°
We need to determine the value of x.
Value of x:
By triangle sum property, the angles in a triangle always add up to 180°
Thus, we have;
Simplifying, we get;
Subtracting both sides by 75, we get;
Dividing both sides of the equation by 3, we get;
Thus, the value of x is 35.
helpppppppppp please please please please
Answers
In total there are 22 spins so 6/22=3/11
So you have around a 27% chance of rolling a 5 or 7
3 1/2 yards in 1/3 hour find the unit rate
PLSS NEED ASAP
Answers
Answer:
15.5 Yards per hour
I think
Point M is the midpoint of segment AB. If the coordinates of A are (−3, 6) and the coordinates of M are (−5, 2), what are the coordinates of B?
Answers
Answer:
Point M is the midpoint of AB. If the coordinate of A are (-3,6) and the coordinates of M are (-5,2), what are the coordinates of B?
Step-by-step explanation:
True or false help me
Answers
Answer:
A. 4/12, C. 1/3
Step-by-step explanation:
2/6 can be divided by 3. Therefore, the fraction is 1/3.
A. 4/12 can be divided by 4. This means the fraction will be 1/3. Because 1/3 is equal to 1/3, this option is correct.
B. 1/2 cannot be simplified. Because 1/3 is not equal to 1/2, this option is not correct.
C. 1/3 cannot be simplified. Because 1/3 is equal to 1/3, this option is correct.
D. 3/8 cannot be simplified. Because 3/8 is not equal to 1/3, this option is not correct.
If this helps please mark as brainliest
we have BD is 17 cm AB is 24cm find angle of B
Answers
Hope this helps:)
Of the 10 kids in a chess club, 5 are left-handed and 5 are right-handed. The club holds a round-robin tournament in which every player plays against every other player exactly once. Of all the matches, how many of them have a left-handed player competing against a right-handed player?
Answers
The total number of games a girl play against a boy is 25, the number of games a girl plays against a boy is 10, the fraction of the games are boy-versus-boy is 2/9, and 1/5 fraction of all games at the tournament Anita plays the game.
We have given that,
Of the 10 kids in a chess club, 5 are left-handed and 5 are right-handed.
What are permutation and combination?A permutation can be defined as the number of ways a set can be arranged, order matters but in combination, the order does not matter.
We have 5 girls and 5 boys in a chess club:
There are a total of 5×5 games girls play against a boy.
= 5×5
= 25
The number of games a girl play against another.
It is a combination problem so the total number of games:
= 10
A fraction of the games are boy-versus-boy:
The number games boy-versus-boy = 10
The number games Boy vs Boy & Girl vs Girl & Boy vs Girl
= 10+10+25
= 45
So the fraction = 10/45 ⇒ 2/9
If Anita is one of the club members then Anita will have to play against 9 people at the tournament.
Total number of games = 45
Then the fraction = 9/45 ⇒ 1/5
Thus, the total number of games a girl play against a boy is 25, the number of games a girl plays against a boy is 10, the fraction of the games are boy-versus-boy is 2/9, and 1/5 fraction of all games at the tournament Anita play the game.
To learn more about combination visit:
brainly.com/question/4546043
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What is the ratio representation of the leg rule for this triangle
Answers
Answer:
Where's the triangle? Do you have an image?