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zepelin [54]
3 years ago
8

Rewrite in polar form: x^2+y^2-2y=7

Mathematics
2 answers:
Alchen [17]3 years ago
8 0
X²+y²-2y=7
using the formula that links Cartesian to Polar coordinates
x=rcosθ and y=r sin θ
substituting into our expression we get:
(r cos θ)²+(r sin θ)²-2rsinθ=7
expanding the brackets we obtain:
r²cos²θ+r²sin²θ=7+2rsinθ
r²(cos²θ+sin²θ)=7+2rsinθ
using trigonometric identity:
cos²θ+sin²θ=1
thus
r²=2rsinθ+7
Answer: r²=2rsinθ+7
Valentin [98]3 years ago
6 0

Answer: I just took the test and got 100%

1. D, (x-3)^2 + y^2 = 9

2. A, x^2 + y^2 = 25

3. C, r = 12 sec θ

4. D, r^2 = 2r sin θ + 7

Feel free to mark as Brainliest :)

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You are building a shelf that fits in a corner. In the figure, the entire shelf is △LMN. Each unit in the coordinate plane repre
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Answer: 50in'2

Step-by-step explanation:

First you would do: |25-(5)| since they share the same x value. Which would be 20

Next: |5-10|= 5, since N and M share the same y value

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7 0
3 years ago
Solve the system.
patriot [66]

Answer:

D.(2,-1,-1)

Step-by-step explanation:

-a+4b+2c=-8

3a+b-4c=9

b = -1

Substitute b=-1 into the other equations

-a -4 +2c = -8

3a -1 -4c =9

Multiply the first equation by 2 so we can eliminate c

-2a -8 +4c = -16

Add this to the second equation

-2a -8 +4c = -16

3a -1 -4c =9

-----------------

a -9 = -7

Add 9 to each side

a-9+9 = -7+9

a =2

b=-1

Now we need to find c

-a +4b +2c = -8

-2 -4 +2c = -8

-6+2c = -8

Add 6 to each side

-6+6 +2c = -8+6

2c = -2

Divide by 2

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5 0
4 years ago
A1= -26. d= 200<br> a(n)= ?
ziro4ka [17]

Answer:

a(n) = -26+(200n-200)

Step-by-step explanation:

The formula for arithmetic series is "Tn=a+(n-1)d

Then,the elements in the formula are substituted with numbers.i.e Tn= -26+(n-1)200.

therefore,Tn= -26+(200n-200)...

Nb: This answer is Subjected to review, thanks.

8 0
4 years ago
0.7 (recurring) <br> Write as a simplified fraction
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7 0
3 years ago
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Using The exterior angle Theorem solve for the identified angle
Lerok [7]

Answer:

107

Step-by-step explanation:

180-(65+42) = SQR = 73

180-73 = 107

8 0
3 years ago
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