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OverLord2011 [107]
3 years ago
15

Convert the Cartesian equation x 2 + y 2 + 2y = 0 to a polar equation.

Mathematics
1 answer:
Kisachek [45]3 years ago
3 0
R2(<span>cos2</span>ϕ−<span>sin2</span>ϕ)−2rcosϕ=0<span><span>r2</span>(<span>cos2</span>⁡ϕ−<span>sin2</span>⁡ϕ)−2rcos⁡ϕ=0</span>

<span><span><span>r2</span>cos<span>(2ϕ)</span>−2rcosϕ=0</span><span><span>r2</span>cos⁡<span>(2ϕ)</span>−2rcos⁡ϕ=<span>0

Now </span></span></span> divide through by <span><span>r≠0</span><span>r≠0</span></span> and get

<span><span>rcos<span>2ϕ</span>−2cosϕ=0</span><span>rcos⁡<span>2ϕ</span>−2cos⁡ϕ=0</span></span>

or

<span><span>r=2<span><span>cosϕ</span><span>cos<span>2ϕ</span></span></span></span><span>r=2<span><span>cos⁡ϕ</span><span>cos⁡<span>2<span>ϕ</span></span></span></span></span></span>

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8 0
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The student council orders 12 sandwhiches for the school dance. each sandwich is 6 feet long cut into sections that are 4 inches
Setler [38]

The school council will have 216 small sandwiches.

Step-by-step explanation:

Sandwiches ordered = 12

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1 foot = 12 inch

6 feet = 12*6 = 72 inches

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The school council will have 216 small sandwiches.

Keywords: multiplication, division

Learn more about multiplication at:

  • brainly.com/question/10710410
  • brainly.com/question/10717746

#LearnwithBrainly

3 0
3 years ago
One person can do a certain job in ten minutes, and another person can do the same job in fifteen minutes. How many minutes will
Alexxandr [17]
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B can do 1/15 job per min.

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4 0
3 years ago
Solve the following word problem using any method. Show your work.
VLD [36.1K]
Let's set up two equations:
x+y=20             We know she brought total of 20, some of each so x=small y=big
20x+ 30y=450
 
 x+y= 20
   -y    -y
 ------------
 x= 20 -y

substitute into the other equation:    
20 (20-y) + 30y = 450
400 - 20y + 30y = 450
400+ 10 y = 450
10 y = 50
y= 5

So she brought  5 big cases.  Then substitute the value of y into one of the equations.

5+ x = 20 
x= 15

So we bought 15 small cases and 5 big cases. 

Hope this helps! Please give me the brainliest answer if you like it! If you have further questions, please leave a comment or add me as a friend!


5 0
3 years ago
Read 2 more answers
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