Answer:
The equation of the parabola is:
[tex]x = 12\cdot m \cdot y^{2}[/tex]
Step-by-step explanation:
The equation of the parabola is:
[tex]x = 4\cdot p \cdot y^{2}[/tex]
Where [tex]p[/tex] is equal to the distance between focus and vertex. Then,
[tex]p = 3\cdot m[/tex]
Lastly, the equation of the parabola is:
[tex]x = 12\cdot m \cdot y^{2}[/tex]
Answer: x = (1/12m)(y^2)
Step-by-step explanation:
Focus at (3m, 0)
Directrix equation, x = -3m
Distance from focus = distance from directrix
√(x-3m)^2 + (y-0)^2 = √(x - (-3m))^2 + (y -y)^2
(x - 3m)^2 + y^2 = (x + 3m)^2
y^2 = (x + 3m)^2 - (x - 3m)^2
y^2 = x^2 + 6mx + 9m^2 - x^2 +6mx - 9m^2
Collecting like terms and simplifying
y^2 = 6mx + 6mx
y^2 = 12mx
x = (1/12m)(y^2)
Which represents the solution(s) of the system of equations, y = -x2 + 6x + 16 and y = - 4x + 37? Determine the solution set
algebraically
O (325)
(-3, 49)
(3,25) and (79)
(-3, 49) and (-7, 65)
Answer:
The answer is c
Step-by-step explanation:
(7,9) (3,25)
The solution sets of the given system of equations are (3,25) and (7,9).
Given equations are :
[tex]y=-x^{2} +6x+16[/tex]........(1)
[tex]y=-4x+37[/tex]...........(2)
What is an equation?An equation is a statement that equates to two expressions.
So, for the solutions of the given system of equations
[tex]-x^{2} +6x+16=-4x+37[/tex]
[tex]x^{2} -10x+21=0[/tex]
[tex]x^{2} -3x-7x+21=0\\x(x-3)-7(x-3)=0[/tex]
[tex](x-3)(x-7)=0[/tex]
So, [tex]x=3[/tex]
[tex]x=7[/tex]
Corresponding y value for x=3
[tex]y=-4*3+37\\y=25[/tex]
Corresponding y value for x=7
[tex]y=-4*7+37[/tex]
[tex]y=9[/tex]
Hence, the solution sets of the given system of equations are (3,25) and (7,9).
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Derek is playing a prank on Grace and hid her pencil inside a tissue box that has a width of 4 inches, a length of 8 inches, and a height of 4 inches. The pencil fits perfectly from the upper left corner to the bottom right corner of the box. What is the length of Grace’s pencil to the nearest tenth of an inch?
Answer:
9.8 Inch
Step-by-step explanation:
The distance from the upper left corner to the bottom right corner of the box is the longest diagonal of the box.
For a rectangular prism:
Length of the Longest diagonal [tex]=\sqrt{ l^2+h^2+w^2}[/tex]
Therefore:
Length of the pencil[tex]=\sqrt{ 8^2+4^2+4^2}[/tex]
[tex]=\sqrt{96}\\=9.8$ inch(correct to the nearest tenth of an inch)[/tex]
Answer: length of pencil is 9.8 inches.
Step-by-step explanation:
The pencil fits perfectly from the upper left corner to the bottom right corner of the box. This is the diagonal of the box(not the diagonal of a face). To determine the length of the pencil, we would determine the length of the diagonal of the box. The formula formula is
d = √(l² + w² + h²)
Where
d = diagonal = length of pencil
w = width = 4 inches
h = height = 4 inches
l = length = 8 inches
Therefore,
d = √(4² + 4² + 8²) = √96
d = 9.8 inches
find angle C! please and thankyou
Answer: it's around 40
Step-by-step explanation:
can someone give me some examples of statistics PLEASE
Answer:
Weather Forecasts,Genetics,Medical Studies i think
Step-by-step explanation:
What is the area of the triangle (I need this today pls help)
Answer: 24 units^2
(12*4)/(2)=24
Step-by-step explanation:
Answer:
Step-by-step explanation:
4*12/0.5=96
Which expression is equivalent?
7 − 4(2x − 3)
A) 8x + 5
B) 8x − 19
C) −8x + 5
D) −8x + 19
Answer:
this is so overdue
Step-by-step explanation:
Find the slope between:
(4, -1)
(-2,4)
Answer:
-5
----
6
Step-by-step explanation:
y2-y1
-------
x2-x1
-1-4 -5
------ = ---
4--2 6
~Anna
2. 2x - y = 6,
- x + y = -1
Answer:
x = 5
y = 4
Step-by-step explanation:
just substitute the value of one variable into the other
-x +y = -1
or y = -1 +x <-------- (i just added x to the right side)
now u know what y is equal to, just substitute that value into the first equation
2x - (-1+x) = 6 <-------- instead of y, i put the value of y from the 2 equation
NOW SOLVE FOR X!
2x +1 -x = 6
x + 1 = 6
x = 5
now solve for y since you have the value of x
y = -1 + x
or y = -1 + 5
y = 4
Answer:
y=3.166 x=4.166
Step-by-step explanation:
Hunter earned a grade of 5% on his multiple-choice math final that had a total of 60 problems. How many problems on the final exam did Hunter answer correctly?
Answer:
3
Step-by-step explanation:
From the information given in the statement, you can find the number of problems that Hunter answered correctly by calculating the 5% of 60. This because 5% is the grade that he got which means that he only had 5% of his answers correctly and 60 is the total number of problems:
60*5%= 3
According to this, Hunter answered correctly 3 problems on the final exam.
Which statement is true about a line that contains the point ሺ2, 7ሻ and has a slope of 0.5?
A The line will also contain the point ሺ4, 6ሻ.
B The line will have a y-intercept of 6.
C The line will contain points whose y-coordinate will decrease in value as you move to the right
D none of the above
Answer:
I think it is C) The line will contain points whose y-coordinate will decrease in value as you move to the right
Step-by-step explanation:
HOPE THIS HELPS
Find the perimeter and the area of the polygon with the given vertices.
S (3,0), T (3,9), U (8,9), V (8,0)
Answer: area =45 perimeter=28
Step-by-step explanation: height is 9, length is 5 5x9 =45
9+9+5+5= 28
If an event has an 80% probability of happening, which word is the best description?
(1 Point)
Certain
Likely or Probable
Unlikely or Unprobable
Impossible
Answer:
likely or probable
Step-by-step explanation:
hhhgfd
A bag contain 8 blue balls, 7 green balls and 5 red balls.What is the probability that the ball is red?
Answer:
A bag contains:
8 blue balls.
7 green balls.
5 red balls.
The probability that the ball is red would be:
P = Red balls/Total balls = 5/(5+7+8) = 5/20 = 1/4 =0.25
Hope this helps!
:)
Answer:
0.25
Step-by-step explanation:
Total balls: 8 + 7 + 5 = 20
Red balls: 5
P(red) = 5/20 = 0.25
I have a test to do today and I need help with it, i don't understand any of it. I will copy and paste it here: IQ scores are normally distributed with a mean of 100 and standard deviation of 15. 1) About what percent of people would have IQ between 85 and 115? 2) About what percent of people would have IQ between 70 and 130? 3) About what percent of people would have IQ above 130? 4) If a school had 255 students, about how many would you expect to have an IQ less than 70? 5) If a school had 1531 students, about how many would you expect to have an IQ greater than 145? 6) If a school has 354 students with an IQ between 100 and 130, about how many students does the whole school have?
Answer:
68%
Step-by-step explanation:
IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. About 68% of individuals have IQ scores in the interval 100 ± 1 ( 15 ) = [ 85 , 115 ] .
Positive ÷ positive = ?
Answer:
positive
Step-by-step explanation:
Find the value of the variables for each set or similar figures
Answer:
3
Step-by-step explanation:
j divided by 9 is 5 , write an equation to represent the following statement
Answer:
The first answer is incorrect
Step-by-step explanation:
45 divided by 9 is 5 not 40
The equation that represents the statement is j / 9 = 5.
What is an Equation?An equation is a mathematical statement that is formed when two algebraic expressions are equated using an equal sign.
The statement j divided by 9 is 5 can be written in equation form as follows:
j / 9 = 5
j = 45
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Which relation is a function? A. (1, 0), (3, 0), (1, 1), (3, 1) (1, 3) B. (1, 1), (2, 2), (3, 3), (4, 4), (5, 8) C. (2, 7), (6, 5), (4, 4), (3, 3), (2, 1) D. (9, −3), (9, 3), (4, −2), (4, 2), (0, 0)
Answer:
b is the answer
Step-by-step explanation:
i checked if inputs repeated in all the string of answers
Answer:
b
Step-by-step explanation:
A farmer has 180 eggs.
He stores them in trays.
Each tray holds 30 eggs.
How many trays does he need?
Answer:
A farmer has 180 eggs.
He stores them in trays.
Each tray holds 30 eggs.
Then he would need 180/30 = 6 trays.
Hope this helps!
:)
4) Gina pays $0.50 each time she plays a carnival game. The game is on a spinner with 12 equal-sized sections, labeled 1 through 12. She wins a prize if the pointer lands on 3, 5, or 7. If Gina spends $4 playing the game, predict the number of prizes she can expect to win.
Answer: 2 prices
Step-by-step explanation:
Price per play = $0.50
Total amount incurred by Gina in playing =$4
Therefore, total games played :
$4 ÷ $0.5 = 8 games.
Total points on spinner = (1,2,3,4,5,6,7,8,9,10,11,12)
Required for winning = (3, 5, 7)
Probability of winning:
P(WIN) = ( required outcome / Total possible outcome)
P(win) = 3/12 = 1/4
Therefore, the number of prices she can expect to win is (1/4) × number of games (8)
(1/4) × (8) = 2
Solve the system of inequalities and indicate all the integers which are in the solution set:
[tex]\left \{ {{3-2a\ \textless \ 13} \atop {5a\ \textless \ 17}} \right.[/tex]
Answer:
-5 < a < 3.4
Step-by-step explanation:
3 - 2a < 13
3 - 13 < 2a
2a > -10
a > -5
5a < 17
a < 3.4
Solution:
-5 < a < 3.4
Step-by-step explanation:
Step 1: Find the solution to the first equation
[tex]3 - 2a < 13[/tex]
[tex]3 - 3 - 2a < 13 - 3[/tex]
[tex]-2a < 10[/tex]
[tex]-2a / -2 < 10 / -2[/tex]
[tex]a > -5[/tex]
Step 2: Find the solution to the second equation
[tex]5a < 17[/tex]
[tex]5a / 5 < 17 / 5[/tex]
[tex]a < 3.4[/tex]
Answer: [tex]-5 < a < 3.4[/tex]
Answer as soon as you see this. I need lots of help
Answer:
GFD = 132.7
Step-by-step explanation:
JIF and GFD are same side interior angles and when the lines are parallel, same side interior angles are equal
JIF = 132.7 so GFD = 132.7
In the diagram shown, we are given that JIF and GFD are parallel lines. However, these lines are also same side interior angles. This means that they will be equal to each other since they are parallel lines. Remember, parallel lines are coplanar lines that do not intersect.
So if JIF = 132.7°, then GFD also measures 132.7°.
help plz! (a + b - c)(a + b + c) multiplying polynomials
Answer:
a^2 + 2ab + b^2 - c^2
Step-by-step explanation:
When you multiply all the terms together you get a^2 + ab + ac + ab + b^2 + bc - ac - bc - c^2. Then you can just combine like terms and simplify it to a^2 + 2ab + b^2 - c^2. Hope this helps :)
Find F(-2)
F(x)=5^x
A=1/25
B=1/10
C=-10
D=-25
Park View Apartments has 2 buildings. Each building has 3 floors. Each floor has
16 windows. What is the total number of windows in the Park View Apartment
buildings?
What Is The Answer
Step-by-step explanation:
2 Buildings : 3 Floors Each : 16 Windows per Floor
Multiply 2 and 3 to get the total amount of floors.
2 times 3 equals 6
Then, multiply 6 and 16 to get the total amount of windows in the Park View Buildings.
6 times 16 equals 96
Therefore, there are 96 windows in total or 48 windows per building
What is the population density of LA? Explain your work: Los Angeles: population = 4,000,000; Area= 503 sq. miles
Answer:
The population density is 7592 people per square mile
Step-by-step explanation:
The population density of los Angeles here refers to the number of people present by square miles
Mathematically, to find this population density, what we need to do is to divide the total population that we have by the area of Los angeles
The population here is 4,000,000 while the area is 503 square miles
The population density is thus ;
4,000,000/503 = 7592.29 which is approximately 7592 people per square mile
2/9 times n = -6. find the value of n. Please help!
Answer: n = -27
Step-by-step explanation:
2/9n = -6
divide both sides by 2/9
n = -27
hey guys! i would be a HUGE favor if you could help me out with this problem. thx so much, it means alot!! <3
Answer:
They do have the same solution
Step-by-step explanation:
In the first problem, you subtract 3/4 first. Next you would divide by 2/3. When you divide 7 1/4 by 2/3, you get 87/8. The only step in the second problem is to divide 87 by 8 (87/8).
which equation can be used to solve for c?
Answer:
The second option
Step-by-step explanation:
cos35=5/c
5/c=cos35/1
cos35(c)=5
c=5/cos35
Therefore, the second option.
I hope this helped and have a good rest of your day!
Write nine minus the quotient of two and a number x as a expression variable
Answer:
9-(2/x)
Step-by-step explanation:
