Answer:
Step-by-step explanation:
Parabola's equation is
y
=
1
16
(
x
−
7
)
2
+
1
and vertex is
(
7
,
1
)
.
Explanation:
Parabola is locus of a point which moves so that its distance from a given point calld focus and a given line ccalled directrix is always constant.
Let the point be
(
x
,
y
)
. Here focus is
(
7
,
5
)
and distance from focus is
√
(
x
−
7
)
2
+
(
y
−
5
)
2
. Its distance from directrix
y
=
−
3
i.e.
y
+
3
=
0
is
|
y
+
3
|
.
Hence equaion of parabola is
(
x
−
7
)
2
+
(
y
−
5
)
2
)
=
|
y
+
3
|
2
or
x
2
−
14
x
+
49
+
y
2
−
10
y
+
25
=
y
2
+
6
y
+
9
or
x
2
−
14
x
+
65
=
16
y
i.e.
y
=
1
16
(
x
2
−
14
x
+
49
−
49
)
+
65
16
or
y
=
1
16
(
x
−
7
)
2
+
65
−
49
16
or
y
=
1
16
(
x
−
7
)
2
+
1
Hence parabola's equation is
y
=
1
16
(
x
−
7
)
2
+
1
and vertex is
(
7
,
1
)
.
graph{(1/16(x-7)^2+1-y)((x-7)^2+(y-1)^2-0.15)((x-7)^2+(y-5)^2-0.15)(y+3)=0 [-12.08, 27.92, -7.36, 12.64]}
Can someone please answer letter F ? It applies to the question 4 and the graph on the right , it’s not long .
Whats the answer for this question guys???
Answer:
0.78539816
Step-by-step explanation:
hope this helped
Answer:
25m
Step-by-step explanation:
/_B=pie/4=45°
since we have /_C=90° then this triangle is a right isosceles triangle
so sides are equal
so a=b= 25 m
A scatter plot containing the point (12, 12) has the regression equation yˆ=14x+1.
What is the residual e when x = 12?
Enter your answer in the box.
e =
Answer:
Im pretty sure it is E=8
Step-by-step explanation:
Answer:
E=8
Step-by-step explanation:
took the test :)
What is the slope of the linear relationship shown in this table of values? x y -4 11 2 -1 5 -7
Answer:
2
Step-by-step explanation:
-1-11/-4-2 = -12/-6 = 2
The required slope for the linear relationship is -2.
Slope to be determine for table x = -4 2 5, y = 1 -1 -7 showing linear relationship.
Slope of function is defined as the rate at which function is increasing.
Here, slope
[tex]=\frac{y_2-y_1}{x_2-x_1} \\=\frac{-1-11}{2+4}\\= -2[/tex]
Thus, the required slope for the linear relationship is -2.
Learn more about slope here:
https://brainly.com/question/3605446
#SPJ2
Solve for p: 16p + 24 = 48
hi
16p +24 = 48
16p = 48-24
16p = 24
p = 24/16
P = 8*3 /8*2
p = 3/2
Answer:
3/2
Step-by-step explanation:
First move 24 to the other side. Therefore, you subtract 24 from 48 (48-24). You’re left with 16p= 48-24. That is 16p=24. Now we are trying to find p so we’re going to divide both sides by the coefficient of p which is 16. So, p= 24/16. Both 24 and 16 are multiples of 8 so you can simplify to p=3/2. Hope you understand!
A building 350 feet tall casts a shadow 1/2 mile long. How long is the shadow of a person five feet tall?
Answer:
37.7 feet
Step-by-step explanation:
1/2 mile is 2,640.. which you would do 2,640 ÷ 350 and it will give you some number... now with that number you would multiply that with 5.
A bag contains 5 red marbles, 3 blue marbles, 7 yellow marbles, and 2 green marbles. Which ratio can be used to compare the yellow marbles to the blue marbles?
Answer:
7:3
Step-by-step explanation:
The number of yellow marbles: the number of blue marbles
Answer:
7:3
Step-by-step explanation:
there are 7 yellow marbles and 3 blue marbles
What is the equation of the line that passes through the points (4, 5) and (7, 3)
Answer:
y = -2/3x + 23/3
Step-by-step explanation:
Let equation of the line be y = mx + c
m = (3-5)/(7-4) = -2/3 gradient/slope formula
sub (4, 5)
5 = -2/3 (4) + c
c = 23/3
therefore, equation of the line is y = -2/3x + 23/3
Hope it helps! :)
This is a topic called coordinate geometry. If you would like to find out more you can follow learntionary on instagram. I'll be posting some notes on coordinate geometry soon and I'll also post other useful math stuff as well :)
help no good at maths
It takes John 54 minutes to paint a fence with a length of 12 meters. On average, how long did he take to paint 1 meter of the fence? *
25 points
3.5 minutes
4.5 minutes
4.8 minutes
5.4 minutes
Other:
Answer:
4.5
Step-by-step explanation:
I think it will work if you Divide 54 over 12 = 4.5
5-3(2x-7)=2(7-3x)
What is true for the equation x=0, x=28, the equation has no solution or the equation has infinitely many solutions
Step-by-step explanation:
Part 1: 4x + 7 = 3(2x - 5)4x+7=3(2x−5)
4x+7=6x-154x+7=6x−15
7=6x-15-4x7=6x−15−4x
7=2x-157=2x−15
7+15=2x7+15=2x
22=2x22=2x
22=2x / 222=2x/2
x=11x=11
Part 2: Sam is not correct because he messed up the second step. He added 2x on both sides to get 7x, instead he should have subtracted.
Find a polynomial of lowest degree that has the indicated zeroes: 1+i, 1-i, 3
Answer:
-3i + (6 x 9)
Step-by-step explanation:
The zeroes of the polynomial are 1 + i, 1 – i, and 3. Then the polynomial of the lowest degree will be x³ – 5x² + 8x – 6.
What is polynomial?A polynomial expression is an algebraic expression with variables and coefficients.
The zeroes of the polynomial will be 1 + i, 1 – i, and 3.
Then the factor of the polynomial will be (x – 1 – i), (x – 1 + i), and (x – 3).
Then the polynomial will be
(x – 1 – i)(x – 1 + i)(x – 3)
[(x – 1)² – i²](x – 3)
(x² – 2x + 2)(x – 3)
x³ – 2x² – 3x² + 2x + 6x – 6
x³ – 5x² + 8x – 6
More about the polynomial link is given below.
https://brainly.com/question/17822016
#SPJ2
p-1/4=5 1/4
(Change mixed number into a improper fraction first.)
PLZ HELLP WILL GIVE BRAINLY
I got bullied guys *drop mic 100000000000x times till faints*
Step-by-step explanation:
1-800-273-8255 my dude
Answer:
I think you should tell someone you trust that you got bullied. I'm so sorry, I know people that got bullied. We'll fight this together.
Solve the following system of equations:
Y=x^2+4x+4
Y=x+2
What is the value of y?
Answer:
y=4, y=2
Step-by-step explanation:
PLEASE HELP ASAP!!!
OK SO I SOLVED ALL OF THIS: It costs a company $20 per box to make pocket-sized stuffed animals. The company also has a fixed manufacturing cost of $2300. The owners are trying to calculate their cost for making boxes of animals. --Function Rule: c(x) = 20b + 2300.
BUT I NEED HELP WITH THIS!!! Use your function rule to find out how many boxes of stuffed animals can the company manufacture for $5000? SHOW WORK.
basically just show the work to find out what "b" would have to be in order for the
answer to be $5,000 i would appreciate it so much :) please help this is due today :(
Answer:
The company can manufacture 135 boxes of stuffed animals for $5000
Step-by-step explanation:
To find b, substitute $5000 for c(x), so
5000 = 20b + 2300Then subtract 2300 from both sides of the equation, so
5000 (-2300) = 20b + 2300 (-2300)2700 = 20bFinally divide both sides of the equation by 20, so
2700/20 = 20b/20135 = bTo check your answer substitute 135 in as b...
c(x) = 20(135) + 2300c(x) = 5000It will really help if you answer atleast 2 of them
2. 8 x 43 = 344
8 x 43 = 8 (40 + 3)
8 x 43 = 320 + 24
3. 6 x 532 = 3192
6 x 532 = 6 (500 + 30 + 2)
6 x 532 = 3000 + 180 + 12
4. 5 x 923 = 4615
5 x 923 = 5 (900 + 20 + 3)
5 x 923 = 4500 + 100 + 15
I hope this helps :)
Solve please
18 + 8x<34
Answer:
x=2
Step-by-step explanation:
A box is sitting on the floor. The box was then pulled with a force, Ft. The box did not move. The free-body diagram of the box is shown.
Which describes the motion of the box based on the resulting free-body diagram?
A. It is moving up with a net force of 20 N.
B. It is moving to the right with a net force of 10 N.
C. It is in dynamic equilibrium with a net force of 0 N.
D. It is in static equilibrium with a net force of 0 N.
Answer:
It is in static equilibrium
Explanation:
edge 2021
The box is in static equilibrium, with a net force of 0 N.
Option D is the correct answer.
What is static equilibrium?Static equilibrium refers to a state of balance where an object is at rest and has no acceleration.
In other words, the object is not moving and is not being subjected to any external forces that would cause it to move.
We have,
The box is at rest and is not moving.
This means that the net force acting on the box is zero.
From the free-body diagram,
We know that there is a force, Ft, acting on the box, and there is an equal and opposite force, Fg, due to gravity.
Since the box is not moving, the force of friction, Ff, must also be present to balance the force of the pull.
So,
The box is in static equilibrium, with a net force of 0 N.
Thus,
The box is in static equilibrium, with a net force of 0 N.
Learn more about static equilibrium here:
https://brainly.com/question/30762026
#SPJ7
ANSWER ASAP
What is the length of Line segment B C, rounded to the nearest tenth?
13.0 units
28.8 units
31.2 units
33.8 units
Answer:
28.8
Step-by-step explanation:
Answer:28.8
Step-by-step explanation:
Please help I need help fast
Answer:This problem asks how many groups of 1/3 are in 4.
Quotient :12
Step-by-step explanation:
Guys, I need help ASAP!!
The standard deviation of the following data set is 0.31. 95% of the data would fall in which range?
4.3, 5.1, 3.9, 4.5, 4.4, 4.9, 5.0, 4.7, 4.1, 4.6, 4.4, 4.3, 4.8, 4.4, 4.2, 4.5, 4.4
Pr (3.88 ≤ X ≤ 5.12)
Pr (2.67 ≤ X ≤ 5.33)
Pr (4.19 ≤ X ≤ 4.81)
Pr (3.57 ≤ X ≤ 5.43)
Answer:
Step-by-step explanation:
Answer is "B"
-12.48-(-2.99)-5.62
-353.92-(-283.56)-131.29
831 106 (92)
(70 points.)
Answer:
-12164.91462:)
Step-by-step explanation:
Solution of the three expressions;
1). -12.48-(-2.99)-5.62 = -15.11
2). -353.92-(-283.56)-131.29 = -201.65
3). 831 / 106 (92) = 0.0852 (rounded to four decimal places)
What is PEMDAS?When resolving expressions containing several operations, the procedure to follow is denoted by the acronym PEMDAS. "Parenthesis," "exponents," "multiplication," "division," "addition," and "subtraction" are all represented by the letters P through E.
1). -12.48-(-2.99)-5.62
= -12.48 + 2.99 - 5.62 (double negative becomes positive)
= -15.11
Therefore, -12.48-(-2.99)-5.62 equals -15.11.
2). -353.92-(-283.56)-131.29
= -353.92 + 283.56 - 131.29 (double negative becomes positive)
= -70.36 - 131.29
= -201.65
Therefore, -353.92-(-283.56)-131.29 equals -201.65.
3). 831 / 106 (92)
This expression involves multiplication and division, and the order of operations (PEMDAS) tells us to perform the multiplication before the division. So we have:
= 831 / (106 x 92)
= 831 / 9736
= 0.0852 (rounded to four decimal places)
Therefore, 831 / 106 (92) equals 0.0852.
To learn more about the PEMDAS;
https://brainly.com/question/36185
#SPJ7
The complete question:
Find the solution to the expressions given below;
1). -12.48-(-2.99)-5.62
2). -353.92-(-283.56)-131.29
3). 831 / 106 (92)
Under the following translation, (x,y) becomes (x-2, y+2) the point (1,1) will become _____.
Answer:
( - 1, 3 )
Step-by-step explanation:
( 1 - 2 , 1 + 2 ) = ( - 1, 3)
(1, 1) -----> ( - 1, 3 )
Jesse and Jonah are making party favors. Jesse has made 108 favors and Jonah has made x number of favors. If they have made a total of 550 favors, how many has Jonah made?
True or False: A check is a document that directs the bank to deduct money from your account and make a payment
Answer:true
Step-by-step explanation: An order to a bank to pay a stated sum from the drawer's account, written on a specially printed form.
Complete the table. Write each as a fraction, decimal, and percent. Fraction Decimal Percent 3% % 1.5 1% 13 20 2. 3 %
Answer:
Step-by-step explanation:
3% in a decimal is 0.03.
I give you brainliest
Answer:
Problem 1:
H = (5,2)
I = (8, 4)
J (7,8)
K (3,8)
L (2,4)
Problem 2:
H (2, -4)
I (5,-2)
J (8, -4)
K (7, -8)
L (3, -8)
For problem 3 just use the coordinates points to plot/sketch the graph
Step-by-step explanation:
A football team loses an average of 3 yards per play. How many yards
have they lost after 4 plays? Write a number sentence to show your
answer.
The expression would be:
3x
x=number of plays
Insert 4:
3(4)
=12
They would 12 yards after 4 plays if losing 3 yards every play.
The amount of yards the football team loses after 4 plays is given by the equation A = 12 yards
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the amount of yards the football team loses after 4 plays be A
Now , the equation will be
Let the amount of yards the football team loses per play = 3 yards
So , the amount of yards the football team loses after 4 plays = 3 x amount of yards the football team loses per play
Substituting the values in the equation , we get
The amount of yards the football team loses after 4 plays A = 3 x 4
On simplifying the equation , we get
The amount of yards the football team loses after 4 plays A = 12 yards
Hence , the amount of yards is 12 yards
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ2
Hey I will give BRAINLIEST if its correct thanks !:)
Answer:
B
Step-by-step explanation:
C=2πr
which is 2*pi*radius