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NikAS [45]
3 years ago
15

Polar form of (x+6)^2 +y^2=36

Mathematics
1 answer:
Sindrei [870]3 years ago
4 0

Answer:

  r = -12cos(θ)

Step-by-step explanation:

The usual translation can be used:

  • x = r·cos(θ)
  • y = r·sin(θ)

Putting these relationships into the formula, we have ...

  (r·cos(θ) +6)² +(r·sin(θ))² = 36

  r²·cos(θ)² +12r·cos(θ) +36 +r²·sin(θ)² = 36

  r² +12r·cos(θ) = 0 . . . . subtract 36, use the trig identity cos²+sin²=1

  r(r +12cos(θ)) = 0

This has two solutions for r:

  r = 0 . . . . . . . . a point at the origin

  r = -12cos(θ) . . . the circle of interest

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frosja888 [35]

Answer:

12

Step-by-step explanation:

Let's simplify each term.

(\frac{1}{4})^{2} = 0.0625

4^{3} =64

(4-1) = 3

Now we multiply:

0.0625*64*3 = 12

Hope this helps!

3 0
2 years ago
Read 2 more answers
Prove that the triangle EDF is isosceles.<br><br>Give reasons for your answer.
lesya [120]

Answer:

The triangle is isosceles because it has two equal sides

Step-by-step explanation:

The triangle is isosceles because it has two equal sides

5 0
3 years ago
I need help please and thanks
Akimi4 [234]
Perimeter of rectangle = all sides added
= 3+3+7+7 =20


volume of sphere = 4/3 x π x r(cubed)
= 4/3 x π X 4(cubed)
= 268.08257

area of triangle = base x height / 2
= 5 x 6 / 2
=30/2 =15

volume of pyramid = base height x base width x height / 3
= 300

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4(squared) + 3(squared) = c(squared)
16 + 9 = c(squared)
25 = c(squared)
c = 5


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7 0
3 years ago
Can someone please help me with this
BARSIC [14]
I’m not 100% but my best guess is 20.
3 0
3 years ago
The cost of grapes was $0.88 a pound. Change bought 4.5 pounds. Find the amount he paid.
Schach [20]

Answer:

$3.96

Step-by-step explanation:

If he gave $.88 per each pound he bought all you have to do is multiply $.88 by how many pounds he bought 4.5. $.88x4.5 equals $3.96

3 0
2 years ago
Read 2 more answers
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