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3 years ago

How do you transform the polar equation theta=pi/6 to an equation in rectangular coordinates and identify its shape?

1 answer:

5 0

You are given the theta function θ=π/6, suppose that you have a radius of 4, then we have a polar coordinate of (4,π/6). To change into rectangular form, this is also equal to
x = 4cosπ/6 and y = 4sinπ/6
x = 2√3 and y = 2
(2√3, 2)

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Find the equation of the sphere in standard form centered at (−6,10,5) with radius 5.

Dovator [93]

Answer:

The equation of the sphere in standard form is

$x^{2} +y^{2}+z^{2} +12 x-20 y-10 z+136=0$

Step-by-step explanation:

Step 1:-

The equation of the sphere having center and radius is

$(x-h)^{2} +(y-k)^{2} +(z-l)^{2} = r^{2}$

Given centered of the sphere is (-6,10,5) and radius r=5

$(x-(-6))^{2} +(y-10)^{2} +(z-5)^{2} = 5^{2}$

on simplification,we get

$using (a+b)^{2} =a^{2} +2 a b+b^{2}$

$using (a-b)^{2} =a^{2} -2 a b+b^{2}$

simplify , we get

$x^{2} +y^{2}+z^{2} +12 x-20 y-10 z+136=0$

8 0

3 years ago

1.Use the diagram of the regular hexagon to support an explanation showing why the formula accurately yields the area of the hex

alekssr [168]

Even though im not giving you the whole answer, let me give you something that will definitely help you:
a regular hexagon is made of 6 identical triangles with the apothem as the height of the triangle A = 6 * 1/2 base * apothem which can be simplified to A = 1/2 perimeter * apothem
This in itself is a big part of what you need. I hope this is enough info for you to keep going

6 0

2 years ago

Solve the equation 3 - 2x = 9 a) x = 3 b)x = -3 c) x = 6 d) x = -6

Elza [17]

Answer:

Option B is correct ...

 $solution \\ 3 - 2x = 9 \\ or \: - 2x = 9 - 3 \\ or \: - 2x = 6 \\ or \: x = \frac{6}{ - 2} \\ x = - 3$ 

hope this helps..

Good luck on your assignment...

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Rina8888 [55]

Answer: Associative property of addition

I hope this helps :D

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2 years ago

Find the equation of the line with slope = -8 and passing through (9,-73). Write your equation in the form

Morgarella [4.7K]

Answer:

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Step-by-step explanation:

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2 years ago

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