1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
jolli1 [7]
3 years ago
8

Q1: Convert r =-72/12+6 sin theta to Cartesian form. (Picture Provided Below)

Mathematics
1 answer:
Cerrena [4.2K]3 years ago
7 0

Answer:

b. 4x^2+3y^2-24y-144=0

Step-by-step explanation:

The given equation is;

r=\frac{-72}{12+6\sin(\theta)}

Cross multiply;

r(12+6\sin(\theta)=-72

Expand;

12r+6r\sin(\theta)=-72

Divide through by 6;

2r+r\sin(\theta)=-12

2r=-12-r\sin(\theta)

Substitute;

y=r\sin(\theta), r=\sqrt{x^2+y^2}

2\sqrt{x^2+y^2}=-12-y

Square both sides;

(2\sqrt{x^2+y^2})^2=(-12-y)^2

4(x^2+y^2)=144+24y+y^2

4x^2+4y^2=144+24y+y^2

Simplify;

4x^2+3y^2-24y-144=0

You might be interested in
If james has 4 apples and thalia has 6 apples how many apples do they have all together
natali 33 [55]
6+4=10

10, all together.
8 0
3 years ago
Between which two integers does √ 45 lie? 44 and 46 22 and 23 6 and 7 7 and 8
erastovalidia [21]

Answer:

6 and 7

Step-by-step explanation:

lol just use a calculator ツ

5 0
3 years ago
The sum of two numbers is 53. if twice the first number minus three times the second number is 26, find both numbers.
EastWind [94]
Make an equation system based on the problem
eg. a is the first number and b is the seond number
An equation for "<span>The sum of two numbers is 53" is
</span>⇒ a + b = 53
An equation for "<span>twice the first number minus three times the second number is 26"
</span>⇒ 2a - 3b = 26
<span>
Solve the equations by elimination and subtitution method
Eliminate a to find the value of b
a + b = 53   (multiplied by 2)
2a - 3b = 26
--------------------------------------
2a + 2b = 106
2a -  3b = 26
------------------- - (substract)
       5b = 80
         b = 80/5
         b = 16

Subtitute the value of b to one of the equations
a + b = 53
a + 16 = 53
a = 53 - 16
a = 37

The numbers are 16 and 37</span>
6 0
3 years ago
The extended warranty on a ceiling fan is 18% of the purchase price. If the price of the fan is $140, how much is the warranty?
aleksandr82 [10.1K]

Answer:

b.$25.20

Step-by-step explanation:

Calculation for how much is the warranty

Using this formula

Warranty cost=Extended warranty purchase d price percentage*Purchased Price

Let plug in the formula

Warranty cost =18%*$140

Warranty cost =$25.20

Therefore the warranty cost will be $25.20

5 0
2 years ago
Read 2 more answers
2 1/9÷2/3 help plsxxxxxxxxxxxxxxxz
vova2212 [387]
The answer to your question is 3.666
5 0
2 years ago
Read 2 more answers
Other questions:
  • !Will mark BRAINILEST! What's the type of function that represents this pattern??
    11·1 answer
  • Factor 6 z^3/3 + 1 z^1/3
    8·1 answer
  • Jack and Diane were saving money to go to a rock n roll concert. They need at least $750 in order to go if you count their gas,
    12·1 answer
  • What is the square root of -16<br><br> -8i<br> -4i<br> 4i<br> 8i<br><br><br><br> Pls explain tooo
    14·1 answer
  • Can y’all please help!
    6·1 answer
  • 4 divided by 2 over 5
    6·2 answers
  • Yo these tutors got no respect in E2020 just called her a disrespectful perra
    12·1 answer
  • For khan academy . Need answer immediately
    8·1 answer
  • Getaway Travel Agency surveyed a random sample of 454545 of their clients about their vacation plans. Of the clients surveyed, 2
    6·2 answers
  • In a sale the price of a bike is reduced by 40% the sale price of the bike is £192 how much did the bike cost before the sale?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!