Answer:
A parabola is the set of all points equidistant from the directrix and focus.
The line of symmetry intersects the focus and directrix
The line of symmetry and the directrix are perpendicular
Step-by-step explanation:
A parabola is the set of all points in a plane that are equidistant from a fixed point (focus) and a line (directrix).
The fixed line of a parabola is known as the directrix of the parabola.
The line of symmetry is a line that passes through the focus and is perpendicular to the directrix. The line of symmetry divides the parabola.
The directrix of a parabola does not intersect touch the parabola
Answer:
1,3,4,5 are correct
Step-by-step explanation:
Which of the following is equivalent to 5x-6y=20?
A y=5/6x
B y=5/6x-10/3
C y=6/5x+4
D y=-5/6x
Answer:
y = [tex]\frac{5}{6}[/tex]x - [tex]\frac{10}{3}[/tex]
Step-by-step explanation:
Given expression:
5x - 6y = 20
To solve this problem, we make y the subject of the expression:
Solution
5x - 6y = 20
Add -5x to both sides of the expression;
-5x + 5x - 6y = 20 + (-5x)
-6y = 20 - 5x
Now, multiply both sides by [tex]-\frac{1}{6}[/tex] ;
[tex]-\frac{1}{6}[/tex] x (-6y) = [tex]-\frac{1}{6}[/tex] (20 - 5x )
y = [tex]-\frac{20}{6}[/tex] + [tex]\frac{5}{6}[/tex]x
y = [tex]\frac{5}{6}[/tex]x - [tex]\frac{10}{3}[/tex]
Farmer Jane has many hens that have laid many eggs. Before the eggs hatch, Jane wants to
count how many eggs are blue, how many are brown, and how many are white.
Jane counts that, of all the eggs, 6 are blue and 25% are brown.
If 10% of the eggs are blue, how many of the eggs are white?
a) 15
b) 21
c) 39
d) 65
Answer:
The correct option is;
c) 39
Step-by-step explanation:
The given information are;
The number of eggs that are blue = 6
The percentage of eggs that are brown = 25%
The percentage of eggs that are blue = 10%
Let the number of eggs Jane has = X
Therefore;
10% of X = 10/100 × X = 6
X = 6 × 100/10 = 60
The number of eggs Jane has = X = 60
The percentage of the eggs that are white eggs = 100 - (The percentage of eggs that are brown + The percentage of eggs that are blue)
The percentage of the eggs that are white eggs = 100 - (10 + 25) = 65%
The percentage of the eggs that are white eggs = 65%
∴ The number of eggs that are white = 65% of X = 65/100 × X= 65/100× 60 = 39 eggs
The number of eggs that are white = 39 eggs.
Waterco is filling barrels with waste water at the rate of 8 quarts per hour. The recycling facility picks up 150 barrels on each trip, and each barrel holds 15 quarts of wastewater. How many days are between each pick up? Show your work to receive full credit. Round answer to the tenths place 
Answer:
11.7 days
Step-by-step explanation:
Given that:
Filling rate = 8 quarts per hour
150 barrels picked up per trip
One barrel = 15 quarts of waste water
Barrel picked up per trip = 150 barrels
Number of quarts per barrel = 15 quarts
Total quantity of waste water = (150 * 15) = 2250 quarts
Filling rate = 8 quarts per hour
Time taken = quantity / rate
Time taken in days = 2250 quarts /(8*24) = 11.72
11.7 days
How many quarts are in 583.7 liters?
Answer:
616.788
OR
616.79 (rounded answer)
Step-by-step explanation:
Answer:
616.78891
Step-by-step explanation:
1 liter is 1.05669 quarts
Good luck!
2(x - 3) = -8
can someone explain to me how to slove this without calculator please and thank you<3
Answer:
-1
Step-by-step explanation:
Distribute
2(x-3)=-8
2x-6=-8
2x=-2
DIVIDE 2 on both sides
x=-1
Jason solved the following equation to find the value for
X.
-8.5x – 3.5x = -78
x = 6.5
Describe how Jason can check his answer.
I
Answer:
we know, that If the x value is a solution to the equation, the x value must satisfy the equation. so It is true.
Step-by-step explanation:
just copy and paste it, its right
Jacob buys 6 game tickets and 3 ride tickets at a carnival for $39. Emily buys 2 game tickets and 2 ride tickets for $18. Find the cost of a game ticket and the cost of a ride ticket at the carnival. Set up and solve a system of equations.
Your answer:
Answer:
Cost of ride ticket = $5
Cost of game ticket = $4
Step-by-step explanation:
Given that:
Let ;
game ticket = g
Ride ticket = r
Jacob :
6g + 3r = 39 - - - (1)
Emily :
2g + 2r = 18 - - - - (2)
Divide (2) b y 2
g + r = 9 - - - - (3)
From (3)
g = 9 - r
Substitute ; g = 9 - r into (1)
6(9 - r) + 3r = 39
54 - 6r + 3r = 39
54 - 3r = 39
-3r = 39 - 54
-3r = - 15
r = 5
Put r = 5 in (g = 9 - r)
g = 9 - 5
g = 4
Hence,
Cost of ride ticket = $5
Cost of game ticket = $4
At SMS, students were encouraged to wear school colors of blue and white. 900 Students wore their school colors while 300 students did not. What percent of the school population did not wear school colors?
Answer:
audududheyeheheh gay
HELPP!!! I need help!
Answer: c.
Step-by-step explanation:
x^2 + 2x - 5 - (x - 3)
distribute the negative
x^2 + 2x - 5 - x + 3
combine like terms
x^2 + x - 2
Answer:
B
Step-by-step explanation:
You start by Figuring out the answer to each side of the equation by using PEMDAS (parenathes,exponets, mutiplacation, division,addition and subtractoin). then you add your varribles and exponets. Then simplify.
question 2 pleaseee !!!!!!
Please help!! I need a correct answer because it’s a test and I need a good grade. Thank you!
Answer:
Minimum = 55 F
Maximum = 71 F
Step-by-step explanation:
The temperature is changing by 8 degrees either up or down.
Because you don't know which way it is changing, you add and subtract to find the maximum and minimum, respectively.
63 + 8 = 71. Add for maximum.
63 - 8 = 55. Subtract for minimum.
63 min. 8 max. ?
answer
Find the Square of 8^2
Answer:
64
Step-by-step explanation:
Answer:
64
Step-by-step explanation:
8^2
= 8 * 8
64
If my answer helped, kindly mark me as the brainliest!!
Thanks!!
Find the slope of ( 2 , 4 ) and ( 6 , 12 )
A. 1/2
B. 2
C. -1/2
D. -2
Answer:
A
Step-by-step explanation:
12-4/6-2=8/4=2/1
From the sum of 3x +4y -3xy and 5x +3y -2xy subtract the sum of 2x +y – 3xy and 10x -9y -8xy
Answer:
5x-1y-11y
Step-by-step explanation:
3x+4y-3xy+5x+3y-2xy-2x+y-3xy+10x-9y-8xy
2x+5x+4y+3y-3xy-2xy-2x+10x+y-9y-3xy-8xy
7x+7y-5xy-12x-8y-11xy
7x-12x+7y-8y-11xy
-5x-1y-11xy
If f(x) = −3x + 4 and g(x) = 2, solve for the value of x for which f(x) = g(x) is true.Noah started to solve the equation –4.6p – 6.3p + 3.9 = –9.18 below. Combine like terms: –10.9p + 3.9 = –9.18 Apply the next steps to solve the equation. What is the solution? p =
Answer:
p = 1.2
Step-by-step explanation:
The given equation is :
–4.6p – 6.3p + 3.9 = –9.18
Combining the like terms,
–4.6p – 6.3p = -9.18 - 3.9
−10.9p = −13.08
⇒ [tex]p=\dfrac{-13.08}{-10.9}\\\\p=1.2[/tex]
Hence, the value of p is 1.2
!!HELP!! can someone solve these two? Find the slope
I believe both have undefined slopes, because both are horizontal and vertical lines.
find the y-intercept of f(x) = 3x^2 + 6x
Answ3r:
81x^2
Step-by-step explanation
I think
Answer:
x=0
Hope this helped!!!! :)
Find the slope help plz
Answer:
The slope would be 10/15 or 2/3 in simplest form.
What is the area of a circle with a diameter of 12cm?
Answer:
36pi
Step-by-step explanation:
area of a circle is pi*radius^2
the radius of a circle w a diameter of 12 is 6 so square 6 to get 36 and then multiply by pi
Answer:
A=36pi cm^2 or 113.097 squared cm
Step-by-step explanation:
A=pi(r)^2
A=pi(6)^2
A=36pi cm^2
can someone help me ill thank them and everything
Answer:
c
Step-by-step explanation:
If they weren't equally likely then one would be more correct and therefore the other would be wrong. It's like a coin flip heads or tails it doesn't matter because it is equally likely.
PLS HELP I WILL GIVE YOU Brainliest
Answer:
3/2
Step-by-step explanation:
Because the problem tells you that the two triangles are similar, the value of a/b would be equivalent for both triangles. The fact that they are right triangles also indicates which sides are which in case the image was not drawn to scale. A is proportional to 2.1 and b is proportional to 1.4. So a/b= 2.1/1.4. This can reduce itself to 3/2 because both are divisible by .7
I only got two so far...
Answer:NML iscocilese triangle
Step-by-step explanation:
Answer:
right angle, obtuse angle and straight angle
Step-by-step explanation:
i hope this is what you mean sry if it didn't help
5/3=50/t Solving proportion
Answer:
T=30
Step-by-step explanation:
5t=3*50
5t=150
divide 5
t=30
What is the value of the expression below when y = 6?
бу — 1
Answer:
35
Given:
y=6
Step-by-step explanation:
бу — 1
6(6)-1
36-1
35
hope it helps you!
Item 1
Find 11/12+(−7/12). Write your answer as a fraction in simplest form.
Answer:
1/3
Step-by-step explanation:
I think not sure.
64x^2y-y factor the expression
Answer:
y(8x+1)(8x-1)
Step-by-step explanation:
Write an expression for the perimeter of the triangle shown below:
The awnser choices are:
4.1x + 29
4.1x − 29
4.5x + 29
4.5x − 29
HELP!! Check the following sets that are closed under the given operations!!!!
Answer:
DONDODA
Step-by-step explanation:
If a student uses a ruler like this to measure the length of their foot, which choices would be appropriate measurements?
Answer:
Brannock device or a ruler measuring from your heel to the longest toe
Step-by-step explanation:
Answer:
inches. i think. /: l
Step-by-step explanation:
The function y = $14.99 + $1.25x represents the price y for a pizza with x toppings. Which is not a reasonable range value for this function?
A. $18.25
B.$21.24
C.$17.49
D.$14.99