The vertex of a parabola is (-2,6), and its focus is (-5,6).
What is the standard form of the parabola?
Enter your answer by filling in the boxes.
The equation of the parabola is:
(y - 6)² = -12(x +2)
Parabola is the locus of a point such that its distance from a fixed point (called the focus) and a given line (called the directrix) is always the same.
The equation of a parabola is given by:
(y - k)² = 4p(x - h)
Where (h, k) is the vertex, (h + p, k) is the focus
Given the vertex of a parabola is (-2,6), and its focus is (-5,6).
Hence, k = 6, h = -2;
h + p = -5
-2 + p = -5
p = -3
Hence the equation of the parabola is:
(y - 6)² = -12(x +2)
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ANSWER PART B
Sia designs a board game in which a card is drawn on each turn.
• A blue card means move forward 4 squares.
• A red card means move back 6 squares.
Liam suggests adding some other cards to Sia's game
Part A
Liam explains that drawing a yellow card is equivalent to drawing a blue card followed by a red card. How many spaces forward or backward does a player move after drawing a yellow card? Justify your answer.
ANSWER PART B
How could Liam use red, blue, and yellow cards to describe each of the following motions? Write equations to support your answer. • A green card means move forward 2 spaces. • An orange card means move 8 spaces backward. • A purple card means move forward 10 spaces.
Answer:
Answer:Back 2
Step-by-step explanation:Blue + Red=-2
Step-by-step explanation:
Can somebody solve this question?
Answer:
3 is the answer because it's value only add by the 3
Last week it snowed 4.32 inches on Monday and 6.86 inches on Tuesday. It Snowed 7.89 inches this week.
How much more did it snow last week than this week?
01.03 inches
O 2.54 inches
0 3.29 inches
O 3.57 inches
Answer:
3.29
Step-by-step explanation:
4.32+6.86=11.18
11.18-7.89=3.29
In the first two hockey games of the year, Roland played 1 ½ periods In each of two games. How many periods in all did he play?
Answer:
2.42
Step-by-step explanation:
I AM VERY SORRY IF ITS WRONG
What is the solution to this system of equations?
x − 2y = 15
2x + 4y = -18
A. x = 1, y = -6
B. x = 1, y = -7
C. x = 3, y = -6
D. x = 3, y = -7
Answer:
C. x = 3, y = -6
Step-by-step explanation:
You can divide the second equation by 2. Then you have ...
x +2y = -9
This gives you a couple of choices for solution. The x-coefficients match, so subtracting one equation from the other eliminates x:
(x +2y) -(x -2y) = (-9) -(15)
4y = -24 ⇒ y = -6
Adding the two equations eliminates y:
(x -2y) +(x +2y) = (15) +(-9)
2x = 6 ⇒ x = 3
The solution is (x, y) = (3, -6).
_____
Additional comment
I find it quick and easy to use a graphing calculator to find the solution. Many graphing calculators also make it simple to solve systems of equations in matrix form. Either way, you can obtain a solution in little more than the time it takes to enter the equations (or their coefficients).
I’ve posted this so many times someone finish this so I can sleep and not wake up to another assignment
the reciprocal of 5 and 4/9
Answer:
1/5 and 9/4
Step-by-step explanation:
Reciprocal is basically the vertically flipped version of the original number. To find the reciprocal, rewrite the numbers in fractions and then swap the numerator and the denominator. So 5/1 becomes 1/5, 4/9 becomes 9/4.
What is a expression? What is a mathematical equation? What is Equation Modelling? What is the reciprocal of a number?
A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. The reciprocal of a number [x] is given by [1/x].
We have the following numbers -
5 and 4/9
We can write -
x = 5
y = 4/9
So, the reciprocal of [x] would be [1/x]. Therefore, the reciprocal of 5 will be 1/5.
The reciprocal of [y] would be [1/y]. Therefore, the reciprocal of 4/9 will be 9/4.
Therefore -
the reciprocal of 5 will be 1/5. the reciprocal of 4/9 will be 9/4.
To solve more questions on Equations, Equation Modelling and Expressions visit the link below -
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100 points yes i said 100 no links
Answer:
None
Step-by-step explanation:
A rational number can never be changed into irrational
Answer:
The answer to your question is None
Step-by-step explanation:
A rational number can never be changed into irrational.
In mathematics, the irrational numbers are all the real numbers that are not rational numbers. That is, irrational numbers cannot be expressed as the ratio of two integers.
I hope this helps and have a wonderful day!
3. A large tank is partially filled with a solution. The tank has a faucet that allows solution to enter the tank at a rate of liters per minute. The tank also has a drain that allows solution to leave the tank at a rate of liters per minute. (a) What expression represents the change in volume of solution in the tank in 1 minute?
(b) What is the change in volume of the solution after 15 seconds? Show necessary work.
(c) What does the change in volume after 15 seconds mean in the real world? Answer in complete sentences.
Answer:
-3 1/20
Step-by-step explanation:
-3 1/20 is the first answer
A class has 30 students. 10 students take the bus. What percentage of students take the bus?
Answer:
33.3%
Step-by-step explanation:
10/ 30= 0.3(3 would be a reoccurring decimal)
0.3*100=33.3
10% of students take the bus
Ingrid is 3 times as old as Ernest. The sum
of their ages is 24. This is represented by the
equation e + 3e = 24, where e is Ernest's age.
How old is Ernest?
-
D. 21
C. 12
A. 3.
B. 6
Answer:
Ernest is six (B)
Step-by-step explanation:
e + 3e = 24
4e=24
[tex]\frac{4e}{4} =\frac{24}{4}[/tex]
e= 6
m-2/3<-4 OR 3m -8>4
Pls help ⚠️
Answer:
-10 OR 4
Step-by-step explanation:
A company installs 5000 light bulbs, each with an average life of 500 hours, standard deviation of 100
hours, and distribution approximated by a normal curve. Calculate the percentage of bulbs and total
number of light bulbs that can be expected to last the period of time indicated. Round to the nearest
hundredth for percent, if possible.
Draw the normal curve
What range of hours constitutes 96% of light bulb hours of life?
Between 300 and 700 hours
Less than 600 hours
Answer:
C. 97.1 should be your answer
Step-by-step explanation:
How to do multiplication with decimals.
Answer: just line up the decimals.
Step-by-step explanation:
is there a specific question I can help you with?
expand and simplify
(x +3)(x+5)
Answer:
x² + 8x + 15
Step-by-step explanation:
(x +3)(x+5)
=> x² + 5x + 3x + 15
=> x² + 8x + 15
So, after simplifying, we can conclude that x² + 8x + 15 is our answer. Hoped this helped.
A package of breakfast bars has 12 breakfast bars in it. The total weight of the breakfast bars in the package is
552 grams. The mass of each breakfast bar is the same. What is the mass in grams of each breakfast bar?
Substitution Property of Equality
Reflexive Property of Equality
Addition Property of Equality
Division Property of Equality
Symmetric Property of Equality
Transitive Property of Equality
Angle Addition Postulate
Pick 1 for each blank PLS HURRY!!!!
hello.. kindly help me. i'm a bit confused because the answer is negative..see the attached picture : D
Step-by-step explanation:
When you get negative it is ok.
It means you have a discount here, not really increase but decrease in price.
Here you have:
(1680 - 4200)/4200*100% = - 60%It is called 60% mark down or 60% discount
|2x + 6| = 16
plsss helppp
Answer:
x = 5
Step-by-step explanation:
|2x + 6| = 16
=> 2x + 6 = 16
=> 2x = 16 - 6
=> 2x = 10
=> x = 5
Hoped this helped.
5x=4y make x the subject
Answer:
[tex]x = \frac{4y}{5}[/tex]
Step-by-step explanation:
[tex]5x = 4y\\\rule{150}{0.5}\\\frac{5x=4y}{5}\\\\\boxed{x = \frac{4y}{5}}[/tex]
Hope this helps.
PLS HELP ASAP ITS FOR MY ASSIGNMENT DUE RN!!! WHOEVER ANSWERS FIRST GETS BRAINLIEST, 5 STARS, AND A THANKS!!!!
[tex]\\ \sf\longmapsto 9\dfrac{7}{11}-(5+1\dfrac{1}{2})[/tex]
[tex]\\ \sf\longmapsto4 \dfrac{7}{11}-1\dfrac{1}{2}[/tex]
[tex]\\ \sf\longmapsto 4\dfrac{14}{22}-1\dfrac{11}{22}[/tex]
[tex]\\ \sf\longmapsto 3\dfrac{3}{22}[/tex]
Below are two parallel lines with a third line intersecting them.
A small business has 50 total employees, 15 of which are full-time. What percent of the employees are part-time?
Answer:
70%
Step-by-step explanation:
50-15 =35
35/50 = 70/100
PLS HELP!!! I WILL GIVE BRAINLIEST!!!!!!!!!!!
Which transformation of f(x) will produce the same graph as g(x)?
Answer:
A. [tex]h(x)=f(x+1)[/tex]
Step-by-step explanation:
Let's start doing exactly what each function says.
[tex]g(x) = 3x+3[/tex]
At this point, let's see what the various h-s do. Let's call each [tex]h_A... h_D[/tex] to understand which flavor of it we're talking about.
[tex]h_A(x)=f(x+1) = 3(x+1)=3x+3 = g(x)\\h_B(x)=2f(x)=2\cdot3x= 6x \ne g(x)\\h_C(x)=f(x-1)=3(x-1)=3x-3\ne g(x)\\h_D(x)= f(x)+1= 3x+1\ne g(x)[/tex]
Which is the best example of anticipating a potential accident in a science lab? A student skips the instructions because she has performed the lab before. A student checks for flammable liquids before lighting the Bunsen burner. A student keeps a glass of water on her lab bench in case she gets thirsty. A student works quickly so that she can be on time for her next class
Answer: C
Step-by-step explanation:
i took the test
A cylinder has a base radius of 8 meters and a height of 19 meters. What is its
volume in cubic meters, to the nearest tenths place?
Answer:V≈3820.18m3 the best i got
Step-by-step explanation: V=πr2h=π·82·19≈3820.17667m³ i hope this helps
Select the correct answer.
Which statement best describes the solution to this system of equations?
3x + y= 17
x+2y= 49
OA. It has no solution.
OB.
It has infinite solutions.
OC. It has a single solution: x= 15, y= 17.
OD. It has a single solution: x= -3, y = 26.
Reset
Next
Answer:
D. (-3, 26)
Step-by-step explanation:
The ratios of x- and y-coefficients are different in the two equations, so there will be a single solution. (Different ratios mean the slopes are different. Lines with different slopes must intersect in exactly one point.)
We can rearrange the first equation to give an expression for y:
y = 17 -3x
This can be substituted into the second equation to give ...
x +2(17 -3x) = 49
-5x +34 = 49 . . . . . . simplify
-5x = 15 . . . . . . . subtract 34
x = -3 . . . . . . divide by -5
Then the value of y is ...
y = 17 -3(-3) = 26
The single solution is (x, y) = (-3, 26).
Determine the domain of each graph:
Answer:
The 1st
Domain is (1,-3)
The second
Domain is (R)
The 3rd
Domain = (R)
The 4th
Domain =(-1,+infinity )
Respectively
I NEED HELP WITH MATH QUESTION PLEASE HELP ME NO LINKS !!!
Answer:
21.8
Step-by-step explanation:
1.9 + 9 = 10.9
10.9 x 2 = 21.8
Answer:
21.8
Step-by-step explanation:
2×1.9=3.8
2×9=18
total=21.8