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VladimirAG [237]
3 years ago
5

"We hold these truths to be self-evident: that all men and women are created equal; that they are endowed by their Creator with

certain inalienable rights; that among these are life, liberty, and the pursuit of happiness; that to secure these rights governments are instituted, deriving their just powers from the consent of the governed. Whenever any form of government becomes destructive of these ends, it is the right of those who suffer from it to refuse allegiance to it, and to insist upon the institution of a new government, laying its foundation on such principles, and organizing its powers in such form, as to them shall seem most likely to effect their safety and happiness. Prudence, indeed, will dictate that governments long established should not be changed for light and transient causes; and accordingly all experience hath shown that mankind are more disposed to suffer. while evils are sufferable, than to right themselves by abolishing the forms to which they are accustomed. But when a long train of abuses and usurpations, pursuing invariably the same object, evinces a design to reduce them under absolute despotism, it is their duty to throw off such government, and to provide new guards for their future security. Such has been the patient sufferance of the women under this government, and such is now the necessity which constrains them to demand the equal station to which they are entitled." (2)
Advanced Placement (AP)
1 answer:
rjkz [21]3 years ago
3 0

Answer:

yuuhhh , do you need help with anything:))))

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Which equation represents the polar form of x2 + (y – 6)2 = 36?
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Answer:

r^2-12r\sin\theta=1

Explanation:

We need to write the polar form of the given equation :

x^2+(y-6)^2=36

Put x=r\cos\theta and y=r\sin\theta

x^2+(y-6)^2=36\\\\(r\cos\theta)^2+(r\sin\theta-6)^2=36\\\\r^2\cos^2\theta+r^2\sin^2\theta+36-12r\sin\theta=36\ \ [\because (a-b)^2=a^2+b^2-2ab]\\\\r^2(\cos^2\theta+\sin^2\theta)-12r\sin\theta=0\\\\\text{We know that}, \cos^2\theta+\sin^2\theta=1\\\\r^2-12r\sin\theta=1

Hence, the above is the polar form of the given equation i.e. r^2-12r\sin\theta=1

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