Using a directrix of y = −2 and a focus of (2, 6), what quadratic function is created?
Answers
Answer:
f(x) = [tex]\frac{1}{16}[/tex] (x - 2)² + 2
Step-by-step explanation:
From any point (x, y ) on the parabola the focus and the directrix are equidistant.
Using the distance formula
[tex]\sqrt{(x-2)^2+(y-6)^2}[/tex] = | y + 2 | ← square both sides
(x - 2)² + (y - 6)² = (y + 2)² ← subtract (y + 2)² from both sides
(x - 2)² + (y - 6)² - (y + 2)² = 0 ← subtract (x - 2)² from both sides
(y - 6)² - (y + 2)² = - (x - 2)² ← expand left side using FOIL and simplify
y² - 12y + 36 - y² - 4y - 4 = - (x - 2)²
- 16y + 32 = - (x - 2)² ← subtract 32 from both sides
- 16y = - (x - 2)² - 32 ← divide all terms by - 16
y = [tex]\frac{1}{16}[/tex] (x - 2)² + 2
Related Questions
functions ! will give brainliest
i got 22 for a but am stuck on b & c :(
please explain what u r doing
Answers
Answer:
b) [tex]f^-1(x)[/tex]= ∛(4x-24)
c)2
Step-by-step explanation:
these ones are inverse functions
change the f(x) for y and make x the subject
y= x³/4 +6
(y-6)x 4 = x³
∛(4y-24)= x
then put x back were y is
[tex]f^-1(x)[/tex]= ∛(4x-24)
and to do c just put in 8 where x is
∛(4(8)-24)= 2
Very urgent. Please help
Answers
Answer:
(2) 68°
Step-by-step explanation:
Since the required m angle B = 68°
Help!
Which functions graph is shown below?
Answers
Answer:
Sin x so A
Step-by-step explanation:
Please give me brainliest pls. Im begging you I helped.
What is the volume of a cube with a side length of 3t5units?
Cube V = s3
3t8 units3
9t15 units3
27t15 units3
243t5 units3
Answers
Answer:
C;27t15 units3
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Sam and Adam share some money in the ratio 2 : 5.
Adam got £12 more than Sam.
Work out how much money Sam received.
Answers
Answer:
£8
Step-by-step explanation:
A
Sam:Adam
2:5
3=£12
12÷3=4
1=4
4×2=8
sam=£8
a math club has 25 members,of which 11 are males and the rest are females. What is the ratio of males to all cube members ?
Answers
Answer:
11/25
Step-by-step explanation:
male population/Total population
Answer:
11 : 390,625
I think
ㅤㅤㅤㅤㅤ
A school orders 25 desks for each classroom,
plus 30 spare desks. The total number ordered
as a function of the number of classrooms is shown
in the graph.
Write the equation represented by the graph
Answers
solve the equation
x^2-7x-34=10
Answers
Step-by-step explanation:
x2-7x-34-10=0
x2-7x-44=0
(x-11)(x+4)=0
x= 11 or x= -4
Answer:
x = 11 or x = -4
Step-by-step explanation:
x^2 - 7x - 44 = 0
-11 + 4 = -7, -11 × 4 = -44
(x -11)(x + 4) = 0 or (x + 4)(x - 11) = 0 Both are same way: O
x = 11 or x = -4 would be the answer : )
Does anyone know this question!??
Answers
Answer:
£213110.48
Step-by-step explanation:
Principal= 200000
Rate = 1.6%
Time = 4 yrs
Amount
= P(1+1.6/100)⁴
=200000(101.6/100)⁴
= 213110.489
= £213110.48
help for my assighnment thanks
Answers
Answer:
D
Step-by-step explanation:
Answer:
B and D
Step-by-step explanation:
Just trust me
P and Q form a linear pair. If mP = (7x – 4)º and
mQ = (2x - 5), find the measure of each angle.
Equation
x=
mP =
mQ =
Answers
Answer:
m∠P=143° and m∠Q=37°
Step-by-step explanation:
(2x-5)+(7x-4)=180°
9x-9=180
9x=189
x=21
2(21)-5=37
7(21)-4=143
XYZ will be translated so that the coordinates of X are (5,11)
Answers
Answer: B
Step-by-step explanation:
Please help find the constant
Answers
Answer:
the constant or rate of change is 3
Step-by-step explanation:
mark brainliest please
Use the vertex of the function (h, k) and the x-intercepts . g(x) = 2 * (x + 3) ^ 2 - 6
Answers
Answer:
Hope this helps
Step-by-step explanation:
Very confused on how to get the inside variables
Answers
aidez moi en math je donne le maximum des points!
Answers
Step-by-step explanation:
[tex]\large \mathcal{Answer}[/tex]
Answer:
Ils sont amicaux, regardez sur le site nosdevoirs
Step-by-step explanation:
is this table linear or non -linear?
Answers
Answer:
all of them are linear
Step-by-step explanation:
Use the function y=ax, plug x and y into it.
I have just tried it and all of them are linear function.
Please ONLY Answer #3
Answers
Answer:
yes , keiko is correct.
sin^(-1)x = -sin^1
Answer:
Keiko is wrong
Step-by-step explanation:
Keiko is incorrect
When n is positive, 1^n will always be 1
but........ (-1)^n will not always be -1
This is because there are parenthesis around -1
So n is even, then it will be 1 not -1
For example, n = 4
You will do -1 * -1 * -1 * -1 which is 1 not -1
but if n = 3
You will do -1 * -1 * -1 which is -1
Therefore, the second statement is incorrect resulting in Keiko being wrong
i need help with this
Answers
Hope this help.
ACTIVITY SET A
Solve the following problem. Write your an ver at the back
1. 12 flowers to 3 vases. How many flower to 6 vases?
2. 5 books for every 3 pupus. How many books for 9 pupils?
3. The salary of two workers is in the ratio 3:4. They received P 14 70C. How mut tid
each worker received?
4. The ratio of men to women at college is 6 is to 8 How many women students are there if there are 300 men?
5. Mr Reyes has enough money to pay 8 workers for 15 days. If he adds 4 meters,
for how many long can be pay them at the same rate?
pls help I really need answer
Answers
Answer:
1-24
2-15 books for 9 pupils
3-Worker 1
3x = 3(1,750)
= 5,250
-------------------
Worker 2
4x = 4(1,750)
= 7,000
4-368
5-22 days and a half (22.5 days)
Step-by-step explanation:
hope this helps if u need the calclations tell me!
What is the solution to this system of linear equations?
y - 4x=7
2y + 4x = 2
(3,1)
(1,3)
3.-1)
(-1,3)
Answers
[tex]y=7+4x\\2(7+4x) +4x=2\\14+8x+4x=2\\14+12x=2\\12x=-12\\x=-1\\\\y-4(-1)=7\\y+4=7\\y=3[/tex]
(-1,3)
In which table is y a linear function of x?
X
0
1
4
5
A
8
y
0
5
96
-9
-12
X
0
1
2.
3
4
B В
y
0
7
12
15
16
x
1
0
1
M
©
у
6
8
10
12
14
х
1
1
N
3
4
5
D
32
16
у
4
8
2.
Answers
Answer:
ur answer should be C. But I'm not really sure..
The table in which y is a linear function of x is; Choice C
Linear functionsAccording to the question;
We are required to identify in what table y is a linear function of x.The slope of a linear function is always constant.
Hence, By observing the table in Choice C;
Slope = (8-6)/(0-(-1)) = (10-8)/(1-0) = 2.
Hence, since slope of the function is constant, the required table is: Choice C.
Read more on linear function;
https://brainly.com/question/24502219
On Wednesdays at Tara's Taquería four tacos are the same price as three
burritos. Last Wednesday the Lunch Bunch ordered five tacos and six
burritos, and their total bill was $8.58 (with no tax or drinks included).
Nobody in the Lunch Bunch can remember the cost of one of Tara's
tacos. Help them figure it out.
Answers
THE ANSWER IS
0.66
Or for fraction 6/10
A number plus five is eighteen.
Answers
Answer:
n = 13
Step-by-step explanation:
n + 5 = 18
Answer:
13
Step-by-step explanation:
To find the number, subtract 5 from 18:
18 - 5
= 13
So, the number is 13.
Can somebody plz help answer the rest of these questions correctly (only if u done this before) thx :3
WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :SD
Answers
Answer:
9. 16.34
10. 51.84
11. 20.11
12. 76.03
13. 64.09
just look up circumference of a circle and you should be able to put the radius in the first thing that pops up :)
help me pls i will mark as brainliest
Answers
Answer:
y. = 42
Step-by-step explanation:
The right side of the triangle is 48 and the top part is 90 degrees so then if you subtract 138 from 180 is would be 42
Please help me
Without calculating, predict whether the area of the rectangle will be greater or less than 25 square meters if the length is 5.25 meters.
Answers
Answer:
depends on the other side, so... maybe
Step-by-step explanation:
If you have a rectangle and you know one side is 5.25, then if the perpendicular side looks about the same length or longer, then the area of the rectangle is at least 25.
Imagine you have a rectangle with a known base of 5.25, then if the rectangle is at least as tall as it is wide, then the area is over 25. If the rectangle is very close to a square then the area should be near 25, and if the rectangle is visually shorter than it is wide then the area is less than 25
Is it y=x ??
Pls help
Answers
It's the first one. y can equal x as long as y doesn't equal x multiple times. We also know the last two are wrong because they're saying the same thing. A linear function is a straight line.
How do you write 0.15 as a percentage
Answers
Answer:
15%
Step-by-step explanation:
move the decimal 2 places because you're dividing by 10
Juan rides his bike 30 miles in 8 hours. At this rate how many miles does he ride his bike
in 2 hours?
1.8 miles
15 miles
30 miles
7.5 miles
Answers
Answer:
answer is 7.5 miles
Step-by-step explanation:
30/8=3.75 mi in one hour
3.75*2=7.5 miles in 2 hours
hope it helps
