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ikadub [295]
4 years ago
8

Cartesian form of polar equation r=8/{6cos θ + sin θ}

Mathematics
1 answer:
castortr0y [4]4 years ago
7 0

Answer:

The cartesian form of the polar equation is:  y=-6x+8

Step-by-step explanation:

Start by multiplying both sides of the equal sign by the denominator on the right, so we get rid of all denominators:

r=\frac{8}{6\,cos(\theta)+sin(\theta)} \\r *\,(6\,cos(\theta)+sin(\theta))=8\\6\,r\,cos(\theta)+r\,sin(\theta)=8

Now recall the relationships for the "x" and "y" cartesian variables:

x=r\,cos(\theta)\\y=r\,sin(\theta)

So we use this identities to replace the polar coordinates in our equation, obtaining:

6\,r\,co(\theta)+r\,sin(\theta)=8\\6\,x+y=8\\y=-6x+8

Which renders a line with slope -6 and y-intercept +8

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Suppose you had d dollars in your bank account. You spent $22 but have at least $42 left. How much money did you have initially?
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3 years ago
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7 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=f%5Cleft%28x%5Cright%29%3D%5Cfrac%7B%5Cleft%28x%5E%7B3%7D%2B8x%5E%7B2%7D%2B21x%2B18%5Cright%29
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f = \frac{x^{3}+8x^{2}+39}{x^{2}+3x }

Step-by-step explanation:

Solved for f!

8 0
3 years ago
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