Answer:
Y=-2
Step-by-step explanation:
You would use the vertex form to find the directrix
The directrix is a horizontal line that is y = -2.
Option C is the correct answer.
What is a parabola?A parabola is an equation of a curve, such that any point on the curve is equidistant from a fixed point called the focus and a fixed line called the directrix of the parabola.
The equation of a parabola:
y = a(x-h)^2 + k
We have,
The directrix of the parabola with equation x^2 = 8y is a horizontal line, and its distance from the vertex is equal to the value of the parameter p.
To find the value of p, we need to rewrite the equation of the parabola in the standard form:
x² = 8y
Dividing both sides by 8, we get:
x²/8 = y
Comparing this equation to the standard form of a parabola with a horizontal axis of symmetry, which is given by (y-k)² = 4p (x-h), we can see that h = 0, k = 0, and p = 2.
Therefore,
The directrix is a horizontal line that is 2 units below the vertex, which is located at (0,0).
i.e
y = -2.
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Solve b=y-my for y.
Answer:
y = [tex]\frac{b}{1-m}[/tex]
Step-by-step explanation:
In order to get y by itself, we need to pull y out of 1 and m on the right side.
b = y(1 - m) since y(1 - m) is the same as y - my.
Once we have pulled y out of 1 and m, we can divide both sides by 1 - m
[tex]\frac{b}{1 - m}[/tex] = [tex]\frac{y(1 - m)}{1 - m}[/tex]
We can cancel out the 1 - m on the right side since (1 - m) / (1 - m) = 1
Finally we get our answer:
[tex]\frac{b}{1-m}[/tex] = y
This is the same as y = [tex]\frac{b}{1-m}[/tex]
Refer to the figure to answer the following.
5
F
m 2 BFG = (0.5)(mCD + mGB)
True False
Please help
Answer:
True
Step-by-step explanation:
∠BFG is an interior angle, then:
m∠BFG=[m arc(GB) + m arc(CD)] / 2
or in other words
m∠BFG = (0.5)(m arc CD + m arc GB)
Answer:
TRUEEEEEEEEEEEEEEEEEEEEEEE
Step-by-step explanation:
True or false? The graph represents a function.
true if you use the vertical line test there is never two points
PLS HURRY AND ANSWER I NEED THE ANSWER!!!! PLS
An icecream machine can make 6 quarts in 8 hours. At this rate, how
many quarts can it make in 64 hours?
A.
42
B.
36
C.
24
D.
48
Answer:
48 i think
Step-by-step explanation:
im not 100% persint sure
15x+3y=-2 in slope-intercept form
Answer:
Y=-5x-2/3
Step-by-step explanation:
Answer:
y=-5x+2/3
Step-by-step explanation:
15x+3y=-2
-15x -15x
3y=-15x-2
3y/3=-15x/3-2/3
y=-5x+2/3
a certain antihistamine is often prescribed for allergies. a typical dose for a 100-pound person is 21 mg every 6 hours.
a. how many 12.7 mg chewable tablets would be taken in a week?
b. this antihistamine also comes in a liquid form with a concentration of 12.7 mg / 6 ml following the prescribed dosage how much liquid antihistamine should a 100-pound person take in a week?
Answer:
a)46 tablet approx
b)277 ml approx
Notation: Segment YQand Notation: Segment XP are altitudes to the congruent sides of isosceles triangle WXY.
Select all the true statements.
Answer:
Isosceles triangle has two equal sides and two congruent bases.
Step-by-step explanation:
Isosceles triangle has three sides out of which two are equal. It has two congruent sides. The angle opposite to base is vertex. The two sides of the triangle are congruent and the angles opposite to these sides are also congruent. It is a special type of triangle which is also called equilateral triangle.
A regular pentagon has side lengths of 10cm and an apothem 7cm in length. What is the area of the pentagon?
Answer:
The fraction can not be reduced, but it can be converted to decimal form.
Exact Form: 10/7
Step-by-step explanation:
Find the total of a
$60 meal with 15%
tip and 8% tax.
Answer: $73.8 15% of 60 is 9 and 8% of 60 is4.8 then if you add them all together you get 73.8$
Step-by-step explanation:
Answer:
$73.8
Step-by-step explanation:
(15+8)= 23 -> .23 = .23 times 60 = $73.8
3grams as a percentage of 20 grams
Answer: 0.6 grams
Solve: 3% of 20 = 0.03 × 20 = 0.6
Estimate the solution of the equation to the nearest integer, z² = 85.
A. 7
B. 8
C. 9
D. 10
(a) The 10 members of the swim team completed the following numbers of laps at today's practice:
77, 79, 80, 82, 84, 85, 86, 87, 90, 91.
Which measure should be used to summarize the data?
Mean?
Median?
Mode?
Answer:
mean
Step-by-step explanation:
The method to summarize the data will be mean
The mean of the laps of swim team is 84.1 laps
What is Mean?
The mean value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values.
Mean = Sum of Values / Number of Values
Given data ,
Let the data be represented by the set A
Let the mean of the data set be M
The value of set A = { 77 , 79 , 80 , 82 , 84 , 85 , 86 , 87 , 90 , 91 }
The total number of data elements in the set = 10
Now , since all the data elements are distributed normally and does have a central point
So , it follows normal distribution
Therefore , the mean of the data will be
Mean M = Sum of Values / Number of Values
Mean = ( 77 + 79 + 80 + 82 + 84 + 85 + 86 + 87 + 90 + 91 ) / 10
Mean = 841 / 10
Mean M = 84.1 laps
Therefore , the value of M is 84.1
Hence , The method to summarize the data will be mean
The mean of the laps of swim team is 84.1 laps
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9. A ship sails 20km due North. It changes
direction and then sails 15km due East.
How far is it from its starting point?
Answer:
Ans = appx 10.439 units
Step-by-step explanation:
This answer will vary depending on the starting latitude of the ship due to earth not being flat, despite suddenly popular opinions.
So if we used a flat cartesian space ignoring the curvature of the earth we could have a fixed constant answer to this question. Lets do it that way.
Just to clarify: NO the earth is not flat.
Another assumption of this question is the difference between compass north and true north, which we have to throw out for the same reasons.
Real world answers to this question would not be as simple… #imjustsaying
Ok so first travel northeast, lets call that a bearing of 45 degrees directly northeast to also squash any variations there… then a bearing of 250 degrees which ill assume is not a relative bearing (LOTS OF ASSUMPTIONS GOING ON HERE) which is sortof in the west-southwest direction.
The angle at the turn goes from 45 to 250. reversing the 45 shows our angle to be between 250 and 180+45=225 so the angle is 25 degrees with one leg being 20 units (kilometers) long and the other leg being 12 units long. How many units apart are the two points that are connected to that angle?
(12sin(25))^2+(20–12cos(25))^2 = x^2
Enjoy calculating. Make sure that 25 is in degrees and not in radians.
Ans = appx 10.439 units
A warehouse has 1,750 boxes of water bottles. A truck unloaded another 530 boxes at the warehouse. Each box holds 48 bottles of water. How many bottles of water are in the warehouse?
Answer:
109440
Step-by-step explanation:
1750 boxes of water bottles with 48 bottles of water each: 1750 x 48 = 84000
plus the other 530 boxes at the warehouse which alone are: 530 x 48 = 25440
adding up 84000 + 25440 = 109440
The total number of bottles of water in the warehouse will be 27,190.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
A warehouse has 1,750 boxes of water bottles.
A truck unloaded another 530 boxes at the warehouse.
Each box holds 48 bottles of water.
Then the number of bottles that were unloaded by truck will be
⇒ 530 x 48
⇒ 25,440
Then the total number of bottles of water in the warehouse will be
⇒ 25,440 + 1,750
⇒ 27,190
The total number of bottles of water in the warehouse will be 27,190.
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sound travels about 340m/s the function d(t)=340t gives the distance d(t) in meters that sound travel in t seconds how far does it travel in 37 s
1 of 12
Eli is following this recipe to bake bread rolls.
He uses 500 g of flour.
How much of the other ingredients does he use?
Recipe: Makes 12 bread rolls
400 g flour
6 g salt
8 g yeast
40 mL oil
360 ml water
?g salt
?g yeast
?mL oil
?mL water
Answer:
8
Step-by-step explanation:
Help ASAP please!
The question is attached
Answer:Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?
Write 22 as a product of three primes
For a 5 star rating and heart/thanks
Andrea spent 5/9 of her money buying a guitar if she had €296 left how much had she had first
Answer:
kkk
Step-by-step explanation:
Plzz solve this easy calculus :')
Answer:
[tex] \sin \: x - \cos x \: + c[/tex]
Step-by-step explanation:
[tex] \int \frac{cos2x}{ \sqrt{1 - sin2x} } dx \\ \\ = \int \frac{ {cos}^{2}x - {sin}^{2}x } { \sqrt{ {sin}^{2}x + {cos}^{2}x - 2sinx \: cosx } } dx \\ \\ = \int \frac{ ({cos}x - {sin}x )({cos}x + {sin}x )} { \sqrt{ {({cos}x - {sin}x )}^{2} } } dx \\ \\ = \int \frac{ ({cos}x - {sin}x )({cos}x + {sin}x )} {{ {({cos}x - {sin}x )} } } dx \\ \\ = \int({cos}x + {sin}x)dx \\ \\ = \int{cos}x \: dx + \int{sin}x \: dx \\ \\ = \sin \: x - \cos x \: + c[/tex]
Need help immediately I will give brainilest
Answer:
the answer is 12
I think
The expression 6x - 3 represents the total number of stuffed animals Deena has in her collection. She decides to put the
stuffed animals in 3 equal piles. Which expression can be used to represent the number of stuffed animals Deena puts in
each pile?
Answer:
2x-1 (simplest)
Step-by-step explanation:
First put parentheses around 6x-3
The expression is (6x-3)/3
Simplify 2x-1
Make sure you divide both terms though (common mistake only dividing 1)
(HELP ASAP)
Find the area of the composite figure.
A)
27 km2
B)
36 km2
C)
45 km2
D)
54 km2
Answer:
45 km^2 (C)
Step-by-step explanation:
Isolate the smaller square -
We only need two side lengths, take 3km and 3km.
3×3 = 9km^2, that's the area of the smaller square.
Isolate the larger square -
Take 6km and the other 6km
6×6 = 36km^2
Add the square's areas together to get the whole area -
36 + 9 = 45km^2
All you need to do to solve these problems is to isolate the shapes and find their area's, and finally add them together.
pls help me math its due today
Answer:
For multiplication you added the exponents and for division you minus the exponents
Answer:
kdkdjdduidddsisiodiod
if fast will marik brainliest
Answer:first
What is the union of {9, 10, 11} and {9, 11, 13}?
The 2 {} you have are called sets. The union is what the 2 sets have in all.
You can think of this as you have green blue yellow cards. and your friend have green orange red cards. What colors do you have if you combine your cards.
Now that's just an example, in the question's case is what numbers does the 2 sets have in total.
Therefore the union of these 2 sets are {9,10,11,13}
Hope it helps!
I can do the previous part but I don't know what to do here
Answer:
25°; 115°.
Step-by-step explanation:
all the details are in the attached picture, the answers is marked with red colour.
ASAP!! Find the length of side x in simplest form with a rational denominator
Answer:
[tex]x=\sqrt{14}[/tex]
Step-by-step explanation:
This triangle is a 45-45-90 triangle.
By using the image I posted, we can find x easily.
So, we have [tex]\sqrt{7}[/tex] as one of the sides.
They hypotenuse, which is x is just [tex]\sqrt{7} \sqrt{2}[/tex]
Simplify and we get x = [tex]\sqrt{14}[/tex]
Kona wants to bake at most 30 loaves of banana bread and nut bread for a bake sale. Each loaf of banana bread sells for $2.50, and each loaf of nut bread sells for $2.75. Kona wants to make at least $44. Which system of inequalities models the situation
Answer:
The system of inequalities that models the situation is
Step-by-step explanation:
Given:
Total number of banana bread and nut bread must be atmost 30
Cost of one banana bread = $2.50
Cost of one nut bread = $2.75
Kona wants to make at least $44
To Find:
The system of inequalities models the situation
Solution:
Let the number of banana bread loaves be x
Let the number of nut bread loaves be y
Then kona wants to make at most 3 loaves of bread,
So...
Then By selling one banana bread to $2.50, and each loaf of nut bread sells for $2.75,Kona wants to make at least $44. TvT hope this helps
Help
Don’t use for points and also be clear or I will take the points back
Answer:
x=47°
Step-by-step explanation:
..,........................
Answer:
I believe it is 47.
Step-by-step explanation: The reason why is because for a right angle it must be 90 degrees So, the way I solved this was getting 90-43 I got the 43 from BCD. then subtracted it and applied it to the other side, keep in mind I am only a freshman and it might be wrong super tiny chance but it might.