To determine the equation of the directrix of the parabola, we need to consider the form of the equation for a parabola and its orientation.
The general equation of a parabola in standard form is given by:
[tex]y = a(x - h)^2 + k[/tex]
For a parabola with a vertical axis of symmetry (opens upwards or downwards), the equation of the directrix is of the form x = c, where c is a constant.
Now, let's consider the given equations:
y = 3: This represents a horizontal line. The directrix for this line is y = -3, which is a horizontal line parallel to the x-axis.
y = -3: This also represents a horizontal line. The directrix for this line is y = 3, which is a horizontal line parallel to the x-axis.x = 3: This represents a vertical line. The directrix for this line is x = -3, which is a vertical line parallel to the y-axis.
x = -3: This also represents a vertical line. The directrix for this line is x = 3, which is a vertical line parallel to the y-axis.
In summary:
For the equation y = 3, the directrix is y = -3.
For the equation y = -3, the directrix is y = 3.
For the equation x = 3, the directrix is x = -3.
For the equation x = -3, the directrix is x = 3.
Therefore, the equations of the directrices for the given equations are y = -3, y = 3, x = -3, and x = 3 respectively, depending on the orientation of the parabola.
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Find the mode of the following data: 5, 0, 5, 4, 12, 2, 14
Answer:
5
Step-by-step explanation:
To solve the problem we must know about Mode.
What is the mode?Mode is the data point that repeats the most number of times in a given data set.
The mode of the data set is 5.
Given to us
Data set: {5, 0, 5, 4, 12, 2, 14}As in the given data points {5, 0, 5, 4, 12, 2, 14}, number 5 repeats twice, therefore, 5 is the mode of the given data set.
Hence, the mode of the data set is 5.
Learn more about Mode:
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point a is located in which quadrant quadrant 1 quadrant 2 quadrant 3 quadrant 4
PLEASE HELP ME QUICK PLEASEEEE
Answer:
quadrant 2
Step-by-step explanation:
top right is 1, top left is 2, bottom left is 3, and bottom right is 4
Which of the following options have the same value as 40%, percent of 84?
Please Answer ASAP
Answer:
40% of 84 is 33.6
Step-by-step explanation:
The circumference of a circle is 8.88cm. Find the length of the diameter. Give your answer rounded to 2 DP.
Answer:
2.82
Step-by-step explanation:
The formula for the circumference of a circle is given as:
π × D
Where D represents the Diameter of the circle.
From the question:
The circumference of a circle is 8.88cm.
The Length of the Diameter is calculated as:
8.88cm = π × D
D = 8.88 cm/π
D = 2.8265917893 cm
Approximately to 2 decimal places = 2.83cm
Therefore, the length of the diameter = 2.83 cm
If you eat 4 medium strawberries, you get 36% of your daily recommended amount of vitamin C.
What fraction of your daily amount of vitamin C do you still need? Enter your answer in simplest form
You still need
amount of the daily recommended amount of vitamin C.
Answer:
16/25
Step-by-step explanation:
Find the product of (√3-5) and (√3+2)
Step-by-step explanation:
check it.. i have solved it for you.
The y-intercept is 2.
Question 1 options:
True
False
Answer:
false. the y-intercept is -2.
pls answer the following questions i will give brainilest if u get them right
4 × 0.75=?
4 ÷ 0.65 = ?
2.8 × 1.42 = ?
2.75 ÷ 1.30 = ?
Answer:
1. 3
2. 6.15
3. 3.976
4. 2.11
Step-by-step explanation:
Hope this helped:)) Plz mark Brainliest :))
Help would be appreciated thanks .
Answer:
my answer was wrong and cannot help
PLS HELP WITH THIS ILL LOVE THEM FORWVWR
Answer:
I think opinion a. If it is wrong Iam sorry
The sales tax in one state is 6%. Write a function rule for finding the total cost of an item with selling price x. Then find the total cost of a CD player with a selling price of $160.
f(x) = 0.06x; $9.60
f(x) = 6 + x; $161.06
f(x) = x – 6; $158.94
f(x) = 1.06x; $169.60
Answer: brainly.... D. f(x) = 1.06x; $169.60
sales tax = 6% or 6/100.
assuming tax is added onto the item:
total cost function f(x) = price + tax
however, assuming the cost price = sales price - tax, then:
f(x) = sales price - tax
This is not really a business or accounting forum, its a maths forum, so you need to be clearer about business or accounting terms such as total cost, selling price, selling cost.
Step-by-step explanation: brainly
if y= the item after tax
y=x+(x*6%) or y=x+6%
and then for the answer you would go:
y=160+6% or 160+(160*6%)= $169.60
Answer: f(x)=1.06x; $169.60
Step-by-step explanation: pearson
F(x) is a function
A. True
B. False
Answer: true
Step-by-step explanation:
A farmer has a total of 7745 corn plants. She wants to plant 40 corn plants in each row. She does the following work in long division: 193 R25 40) 7745 -40 374 - 360 145 -120 25 Which statement is correct?
Answer:
7745 -40374 is the correct statement
plssss answer!!! need help!!!
Answer:
6.25π
Step-by-step explanation:
area = πr^2
I really need help with this one or I fail
how can i solve this question?
Answer:
[tex] PQ=4\sqrt{2} \:cm=5.66 \: cm[/tex]
Area of square PQRS[tex] = 32\: cm^2 [/tex]
Step-by-step explanation:
ABCD is a square. Points P, Q, R and S are the midpoints of sides AB, BC, CD and DA of square ABCD respectively.
Therefore,
BP = 1/2 * AB = 1/2 *8 = 4 cm
BQ = 1/2 * BC = 1/2 *8 = 4 cm
In [tex] \triangle PBQ, \: m\angle PBQ =90\degree [/tex]
Therefore, by Pythagoras theorem:
[tex] PQ=\sqrt{4^2 +4^2} [/tex]
[tex] PQ=\sqrt{2*4^2} [/tex]
[tex] PQ=4\sqrt{2} \:cm=5.66 \: cm[/tex]
Area of square PQRS[tex] =PQ^2 [/tex]
Area of square PQRS[tex] =(4\sqrt{2}) ^2 [/tex]
Area of square PQRS[tex] = 32\: cm^2 [/tex]
HELP ANSWER 6,8,9!! WILL MARK BRAINIEST
please show work too!!!
Answer:
Step-by-step explanation:
6). Since, m∠JMN = 90° [Given]
And m∠JMK + m∠NMK = m∠JMN
m∠JMK = m∠JMN - m∠NMK
= 90° - 28°
= 62°
From the other figure,
m∠STR + m∠STP = 180° [Linear pair of angles]
m∠STR = 180° - m∠STP
= 180° - 118°
= 62°
Therefore, mJMK = m∠STR = 62°
And m∠JMK ≅ m∠STR
8). Since, BF is the angle bisector of ∠AFC,
∠AFB ≅ ∠BFC [By angle bisector theorem]
∠CFD ≅ ∠BFC [Given]
Therefore, ∠AFB ≅ ∠CFD [Transitive property of equality]
9). AG is the bisector of CD,
Therefore, CE ≅ DE ------- (1)
IJ is the bisector of CE,
Therefore, CK ≅ KE ---------(2)
BH is the bisector of ED,
Therefore, EF ≅ FD -------(3)
Since, CE ≅ DE [Given as (1)]
(CK + KE) ≅ (EF + FD)
2(KE) ≅ 2(EF) [Given in properties (2) and (3)]
KE ≅ EF
Through (-5,-3), slope = 1/5
Answer:
what you want
1/5x-5+-3=y
Step-by-step explanation:
Answer:
y=1/5x-2
Step-by-step explanation:
(y - y1) = m(x - x1)
y-(-3)=1/5(x-(-5))
y+3=1/5(x+5)
y+3=1/5x+1
y=1/5x+1-3
y=1/5x-2
Can you help me please it’s is due tonight please help me
Answer:
The neighbors paid him 24
simplify - 5 1/4 - (- 7 1/2)
Answer:
Hey! Your answer is, 9/4
Step-by-step explanation:
Hope this hepls! :)
Have a nice day!♥
Brainliest?
Answer:
Exact Form:
91/20
Decimal Form:
4.55
Mixed Number Form:
4 11/20
Step-by-step explanation:
If the height of a cylinder is halved, its volume becomes how many times?
Answer:
[tex]volume \: of \: cylinder = \pi {r}^{2} h \\ if \ \: \: h \: \: is \: halved \: then \\ volume = \frac{\pi {r}^{2} h}{2} [/tex]
hope my answer is correct
The weatherman predicted the high temperature for today to be 52 degrees. The actual high temperature was 50 degrees. What was the percent of error?
Answer:
Weatherman on top of them out to replace the temperature is currently 0° has been followed at the constantWeatherman on top of them out to replace the temperature is currently 0° has been followed at the constant Weatherman on top of them out to replace the temperature is currently 0° has been followed at the constant rWeatherman on top of them out to replace the temperature is currently 0° has been followed at the constant raWeatherman on top of a mountain reports the temperature is currently 0° has been falling at the constant rate of 3° per hour what was the temperature three hours ago
Step-by-step explanation:
The table gives the costs for organizing Field Day at a Middle School. Thirty-two students will attend the event.
Expense:
Total Cost ($):
Supplies
$272.64
Announcer
$168.84
Refreshments
$113.40
What is the cost per student for this event?
What is the cost per student for supplies only?
What is the answer to this: Morgan bought 5 marble statues. They weighed 126.5 pounds altogether. How much did each statue weigh?
Answer:
25.3 pounds if all the statues way the same
Step-by-step explanation:
Answer:
25.3 lbs
Step-by-step explanation:
Assuming that all the marble statues weight the same amount, simply divide the total weight with the amount of statues:
126.5/5 = 25.3
25.3 lbs is the weight of each statue.
™
Which scenario could be represented by the value −8 ? Select each correct answer. A puppy gains 8 pounds. The temperature is 8 degrees below 0. The elevation of a hot air balloon is 8 meters. A student's class average decreases by 8 points.
plzz help ill give brainliest
Answer:
- The temperature is 8 degrees below 0
- A student's class average decreases by 8 points.
Answer:
The temp is 8 degrees below 0, a student's class average decreases by 8 points
Step-by-step explanation:
a puppy gaining 8 pounds is positive
the temp is 8 degrees below 0 which is negative
the elevation of a hot air balloon is 8 meters above the ground
A student's class average decreases by 8 points = negative
The value -8 is negative and it doesn't say you have to only select one answer
9 x 3/9 is greater than less than or equal to 9?
Answer:
9 x 3/9 is less than 9
Step-by-step explanation:
Answer:
No because when multiplyin a fraction your outcome is less than the orginal
number most likely
Step -by-step explanation:
pls help! marking brainliest!!
Answer:
x = 52
Step-by-step explanation:
∡RQS = 180 - (90 + 34)
∡RQS = 56°
∡PQS + ∡RQS = 180°
∡PQS = x + 72
x + 72 + 56 = 180
x + 128 = 180
x = 52
AHHHHAHHHHAHHH IM DOING MY TEST!! ITS REVIEW OF MY 6TH GRADE CUZ I DIDNT PASS
Answer:
Good Luck!! try your best,
Step-by-step explanation:
Charmaine has 17 cars available to rent. Let C be the number of cars she would have left after renting R of them.
Answer:
C = 17 - R
Step-by-step explanation:
In this scenario, 17 cars would be the initial starting point. While C would be the final number of cars, meaning that our equation would have to equal C. If she rents R number of cars then this number is being subtracted from the initial number of cars because Charmaine would no longer have them in his/her possession. Therefore, it is being subtracted. Using this information we can create the following equation.
C = 17 - R
9. found the answer.... Find the function rule.
y=4x+3
Write a rule for the linear function in the table.
I NEED HELP PLEASE!!!!!
A. f(x) = –4x – 3
B. f(x) = x + 3
C. f(x) = 1/4x + 3
D. f(x) = 4x + 3
Answer:
The answer is "Choice D"
Step-by-step explanation:
In this question, given equation "[tex]y=4x+3[/tex]" is similar the choice d, and its values matches the given table, that can be defined as follows:
choice:
[tex]\to f(x)=4x+3\\\\ when \ x=0\\\to f(0)=4\times 0+3=0+3=3 \\\\ when \ x=3\\\to f(3)=4\times 3+3=12+3=15 \\\\when \ x=6\\\to f(6)=4\times 6+3=24+3=27 \\\\when \ x=9\\\to f(9)=4\times 9+3=36+3=39 \\\\[/tex]