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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plssss answer!!! need help!!!
Answer:
6.25π
Step-by-step explanation:
area = πr^2
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 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; $169.60
Step-by-step explanation: pearson
Which scenario could be represented by the value −8 ? Select each correct answer. A puppy gains 8 pounds. The temperature is 8 degrees below 0. The elevation of a hot air balloon is 8 meters. A student's class average decreases by 8 points.
plzz help ill give brainliest
Answer:
- The temperature is 8 degrees below 0
- A student's class average decreases by 8 points.
Answer:
The temp is 8 degrees below 0, a student's class average decreases by 8 points
Step-by-step explanation:
a puppy gaining 8 pounds is positive
the temp is 8 degrees below 0 which is negative
the elevation of a hot air balloon is 8 meters above the ground
A student's class average decreases by 8 points = negative
The value -8 is negative and it doesn't say you have to only select one answer
The table gives the costs for organizing Field Day at a Middle School. Thirty-two students will attend the event.
Expense:
Total Cost ($):
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?
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:
Help would be appreciated thanks .
Answer:
my answer was wrong and cannot help
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
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 :))
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:
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]
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:
PLS HELP WITH THIS ILL LOVE THEM FORWVWR
Answer:
I think opinion a. If it is wrong Iam sorry
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
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
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
The y-intercept is 2.
Question 1 options:
True
False
Answer:
false. the y-intercept is -2.
Can you help me please it’s is due tonight please help me
Answer:
The neighbors paid him 24
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.
™
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:
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
I really need help with this one or I fail
F(x) is a function
A. True
B. False
Answer: true
Step-by-step explanation:
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]
Find the product of (√3-5) and (√3+2)
Step-by-step explanation:
check it.. i have solved it for you.
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:
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:
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
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.
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