HELP
What is the name of the shape graphed by the function R^2 = 4cose theta?
A. Circle
B. Lemniscate
C. Limaçon with inner loop
O D. Line
Answers
Answer:
Hence, r=2cosθ represents a circle with centre (1,0) and radius 1 and (1,0) in polar coordinates too is (1,0
Step-by-step explanation:
hope this helps;)
The name of the shape graphed by the function [tex]r^{2} = 4\;cos[/tex] θ is Limaçon with inner loop.
We have the following function -
[tex]r^{2} = 4\;cos[/tex] θ
We have to find the shape represented by this function.
What are Polar Coordinates?Polar coordinates are used to represent a point in a two - dimensional plane. In polar coordinate system, the point under consideration is represented with the help of two variables namely [tex]r[/tex] and θ. (Take the reference from the figure attached)
We have -
[tex]r^{2} = 4\;cos[/tex] θ
The relation between variables in polar coordinates and cartesian coordinates is -
[tex]x = rcos\theta\\y=rsin\theta\\r=\sqrt{x^{2} +y^{2} }\\[/tex]
First, lets convert this equation in the rectangular coordinates -
[tex]r^{3} =4\;r\;cos\;\theta\\r\times\;r^{2} = 4\;r\;cos\;\theta\\\sqrt{x^{2} +y^{2} }\;\times\;(x^{2} +y^{2}) = 4x\\(x^{2} +y^{2})=\frac{4x}{\sqrt{x^{2} +y^{2} }}[/tex]
The above equation in rectangular coordinate system represents a Limaçon with inner loop.
Hence, the name of the shape graphed by the function [tex]r^{2} = 4\;cos[/tex] θ is
Limaçon with inner loop.
To solve more questions on identifying the shape of the graph by the function, visit the link below -
https://brainly.com/question/9422589
#SPJ2
Related Questions
A come has a slant height of 15 centimeters and a height of 12 centimeters. What is the radius
Answers
Answer:
The radius is 9cm.
Step-by-step explanation:
225 cm - 144 cm = 81 cm
√81 cm = 9 cm
What is the dontain of the function graphed below?
I’ll give brainliest to the real answer
Answers
Answer:
the third one.........
[-2,0] and (7,oo)
It is the only one that matches
HOPE This helps!
Solve the following expression when
x = 7 and y = 2
(y + 2) · (x + 4 – 5)
Answers
Answer:
24
Step-by-step explanation:
4 x 6 = 24
can y’all help me with this, short answers btw ty!
Answers
Answer:
Hello!
Question 1: What is an earthquake? Answer: An earthquake is the shaking of the surface of the Earth resulting from a sudden release of energy in the Earth's lithosphere that creates seismic waves.
Question 2: What are faults? Answer: In geology, a fault is a planar fracture or discontinuity in a volume of rock across which there has been significant displacement as a result of rock-mass movements.
Question 3: Why are earthquakes more likely to occur near faults? Answer: Notice that many plate boundaries do not coincide with coastlines. Earthquakes can also occur far from the edges of plates, along faults. Faults are caused by all that bumping and sliding the plates do. They are more common near the edges of the plates.
Question 4: What happens when the plates grind against each other? Answer: An earthquake is caused by the movement of Earth's crustal plates grinding against one another.
Question 5: Is it true that when vibrations reach earth surface as earthquakes occur? Answer: Yes! It's true that it vibrates near the earth surface!
Hope I helped! Ask me anything if you have questions! Brainiest plz. Hope You make a 100%! Have a nice day! -Amelia♥
Convert the degree measure into radians.
330°
A 11pi/6
B 11pi/3
C 6pi/7
D 4pi/3
Answers
Answer: A.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
we have 2pi = 360°
=> 2pi× 330/360 = 360° × 330/360
=> 11pi/6 = 330°.
Please keep asking if you still have trouble understanding
Please help me with this
Answers
Answer:
(3x6) / 6 is the correct answer
Answer:
(3. 6)/618/63Thus 3 is the answer to the question
Which of the following tables represents a function?
A.
B.
C.
D.
Answers
Answer:
B
Step-by-step explanation:
In a function the x value cannot repeat
As long as no x value repeats it is considered a function
In answer choice A the x value "1" repeats therefore table a is not a function
In answer choice B no x value repeats twice. This one might be the answer however lets check the other tables just to be safe.
In answer choice C the x value "-4" repeats multiple times therefore table C is not a function
In answer choice D the x value "1" and "2" repeat therefore table D is not a function.
Thus, the answer is B
3. Graph the circle from the standard form
(x - 1)² + y² = 49.
Answers
Answer:
center is at (1,0) with a radius of 7
Step-by-step explanation:
i hope this helps you graph it
Angle rides her bicycle 2/3 mile to school on Friday she took a shortcut so that the ride to school was 1/9 mile shorter how was angle bicycle ride on Friday
Answers
Answer:
5/9 miles
Step-by-step explanation:
what expression is equivalent to 3(x+6)
Answers
Answer:
efthybybybybybybyh
Step-by-step explanation:
rvvttbyby4nun4unrruneun
Answer:
3x+18
Step-by-step explanation:
The measure of an angle is 14.2°. What is the measure of its complementary angle
Answers
Answer:
75.8º
Step-by-step explanation:
The sum of complimentary angles is 90º
c + 14.2 = 90
Subtract 14.2 from both sides
c = 90 - 14.2
c = 75.8º
Solve the equation f/2 +9=4 how can you isolate the variable F 
Answers
Answer:
F= -2.5
Step-by-step explanation:
divide both sides by two in order to isolate f.
by dividing by 2 on the left hand side it cancels out the /2 leaving you with only f
then because you divided the left hand side by 2 you need to do the same on the right therefore giving you -5/2 which equals -2.5
The value of f in the equation is -10.
What is a Variable?'In mathematics, a variable is a symbol and placeholder for a quantity that may change. In particular, a variable may represent a number, a vector, a matrix, a function, the argument of a function, a set, or an element of a set.'
According to the given problem,
First we need to isolate the variable f:
⇒ [tex]\frac{f}{2}+ 9 = 4[/tex]
Now, transposing 9 to the right hand side,
⇒ [tex]\frac{f}{2}[/tex] = 4 - 9
⇒ [tex]\frac{f}{2} = -5[/tex]
⇒ f= ( -5 * 2 )
⇒ f= -10
Hence, the required value of the variable f is -10.
Learn more about linear equations here:
https://brainly.com/question/11897796
#SPJ2
ALGEBRA PROBLEM PLEASE HELP
Answers
Answer:
B, C, and F are functions
Step-by-step explanation:
what is a square root of 81
Answers
Answer: 9
Step-by-step explanation: 9 x 9 = 81
Answer:
9
Step-by-step explanation:
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
Can someone please help me?
Answers
Answer:
hello it is Alana btw i dk if u remember me tho, but if you do imma get my phone back in august and my old acc got deleted so yeah
Step-by-step explanation:
Please help I been looking at my screen for an hourrr
Answers
(2,0)
**A PARALLELOGRAM IS A SHAPE THAT HAS 2 SETS OF PARALLEL SIDES
Math question!
Marta, a jeweler, has 78 ounces of gold. She needs
25 of an ounce for each pendant. How many pendants can she make? Show your thinking!
Answers
Answer:
3.12
Step-by-step explanation:
if you are in an algebra class write the let statements x = number of pendants
25x = 78 (divide by 25 on both sides)
x = 3.12
if you are not in an algebra class then just divide 78 by 25
A sales person earns $80 for every computer he sells. He earns an additional $250 for every 10 computers he sells that month. How many computers does he need to sell in order to earn $2,340 in a month?
Answers
Answer
23 computer
Step-by-step explanation:
if he sold 20 computers he would make 2100 which then he would need 240 more dollars to reach his goal and to find the answer you would then divide 240 by 80.
A bag contains five red marbles, two orange marbles, one yellow marble, and two green marbles. Two marbles are drawn from the bag. What is the approximate probability one of the chosen marbles is orange and one of the chosen marbles is green? 0.02222 0.04444 0.08889 0.13333
Answers
Answer:B .04444
Step-by-step explanation: Edg
The probability of drawing an orange and a green marble is P = 0.08889
How to find the probability?Let's assume that the first marble drawn is orange.
The probability of drawing an orange marble is equal to the quotient between the number of orange marbles and the total number of marbles on the bag, so the probability for this first event is:
p = 2/(5 + 2 + 1 + 2) = 2/10 = 1/5
Then we need to draw a green one, but notice that we already drew a marble, so now the total number of marbles is 9, then the probability will be:
q = 2/9
The joint probability is the product of these two, and we also need to add a factor of 2, because we also need to take in consideration the case where the first marble is green and the second is orange, then we will get:
P = 2*(1/5)*(2/9) = 0.08889
We can see that the correct option is the third one.
If you want to learn more about probability:
https://brainly.com/question/25870256
#SPJ2
Solve the equation. Be sure to check for extraneous solutions.
Answers
The solution of the expression is,
⇒ x = - 160
What is an expression?An expression which is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division is called mathematical expression.
Given that;
The expression is,
⇒ log₄ (- 4x) - log₄ 10 = 3
Now,
We can solve as;
⇒ log₄ (- 4x) - log₄ 10 = 3
⇒ log₄ (- 4x/ 10) = 3
⇒ - 4x/10 = 4³
⇒ - 4x / 10 = 64
⇒ - 4x = 640
⇒ x = - 160
Thus, The solution of the expression is,
⇒ x = - 160
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ2
Is the triangle below a right triangle? Why or why not?
Answers
Answer:
the triangle is not a right angle because it doesn't have the right angle square
Answer:
No because there is no angle of 90 degree.
1. Ted found out that the rebate is not given until after he has
borrowed money and purchased the car. He decided that this
will not change the total cost. Is he correct? Explain.
Answers
9514 1404 393
Answer:
maybe not
Step-by-step explanation:
Consider a couple of scenarios for a $20,000 car purchase and a $2000 rebate, with sales tax at 10%.
1) The rebate is applied directly to the purchase price.
Taxable amount: $20,000 -2,000 = $18,000.
Price with tax: $18,000 × 1.10 = $19,800
Amount financed: $19,800.
__
2) The rebate is given after the sale is complete.
Taxable amount: $20,000
Price with tax: $20,000 × 1.10 = $22,000
Amount financed: $22,000
Remaining loan balance if $2000 rebate is immediately applied to the loan: $22,000 -$2000 = $20,000
__
If the loan is for 5 years at 3%, the payments and total costs are ...
Scenario 1: Monthly payment $355.78;
total cost of loan: 60×355.78 = 21,346.80
Scenario 2: Monthly payment $395.31;
total cost of loan: 55×395.31 = $21,742.05 (note there are fewer payments because of the initial payment to principal of $2000)
__
Ted effectively has to finance an additional $200, equal to the sales tax on the rebate. So the delayed rebate costs him an extra $395.25 over the life of the loan.
_____
We have assumed certain tax and payment scenarios. If tax is not an issue, and if the loan terms are such that the rebate can be applied immediately to the loan amount, then there may be no difference in total cost, or the delayed rebate may result in a lower total cost due to the higher monthly payment.
1. In each case, which average do you think is most useful: the mean, median, or mode?
Justify your answer.
Answers
Answer:
depends on the cases. they all have different uses
What is the mass of one water molecule in grams
Answers
Answer:
18.02
Step-by-step explanation:
Toms total payment for his loan was $10,368. What was his monthly payment if he paid it off after making 36 monthly payments?
$204
$216
$228
$288
Answers
=======================================================
Explanation:
Divide the given dollar amount over the 36 months mentioned.
(10368)/(36) = 288 dollars is the monthly payment
36 months = 3 years
number 7:
In ABC triangle, AB= 1.8cm, BC= 8cm and AC= 8.4cm
Does this triangle contain a right angle? If your answer is ‘yes’, state which angle it is and justify your answer
pls help
Answers
Answer:
yes, this triangle contain a right angle ,and it is B, because CB is the base and AB is the height.
Find the nth term and the indicated term of the arithmetic sequence whose initial term, a, and common difference, d, are given.
a = 6; d = -3
an = ?; 214 = ?
O A. an = 9-3n; 14 = - 15
O B. a, = 9+ 3n; 214 = -33
O c. a, = 6 - 3n; 214 = - 33
OD. an = 9 - 3n; 214 4 = -33
Answers
Answer:
fevgrnumnrbvec
Step-by-step explanation:
Please help... this is overdue and i need to get it done- (20 points +brainly)
On the scale drawing of a car, the length from bumper to bumper is 6 inches. The car’s actual length, from bumper to bumper, is 16 feet. Make a ratio table of equivalent ratios to represent this ratio relationship. Your ratio table must show at least four different ratios. Include a copy of the ratio table in your answer.
Answers
Answer: 6/192, 1/32, 2/64, 3/96, etc.
Step-by-step explanation:
The scale drawing says that the length is 6 inches, and the actual length is 16 feet. First, we need to get both values into the same unit. 16 feet is 192 inches. So our base ratio is 6/192, or 1/32. Equivalent Ratios include 2/64 and 3/96. :)
In a geometric sequence, g(3) = 1 and g(8) = 32. Which recursive definition produces this geometric sequence?
Answers
Step-by-step explanation:
a geometric sequence means every new element is created by multiplying the previous element always with the same number.
a n = a n-1 * number
a n = a1 * number^(n-1)
=> a8 (or g(8)) / a3 (or g(3)) = number^5 (5=8-3)
=> 32/1 = number^5
=>
[tex]number = \sqrt[5]{32} [/tex]
number = 2
and what is the starting a1 ?
it must satisfy e.g. a3
1 = a1 * 2^2
=> a1 = 1/4
therefore, the requested definition looks like
g(1) = 1/4
g(n) = g(n-1) * 2
2x^2-2x-4=0 solve for x