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lys-0071 [83]
3 years ago
11

The following data are the distances between 20 retail stores and a large distribution center. The distances are in miles.

Mathematics
1 answer:
viva [34]3 years ago
8 0

Answer:

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Step-by-step explanation:

fyufcvrrrrrrrrrrrrrrrrrrrrrrtttttttttttttttttttttttuuuuuuuuuuuuuuuuuuuuuuuuuuuuuoooooooooooooooooooooooooosssssssssssssssssssseeeeeeeeeeeeeeeeeeeeeeeeerxxxxxxxxxxxxxxxx

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Step-by-step explanation:

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Can someone PLEASE help me solve this equation ? due soon
RideAnS [48]

\sf{Given : 3tanx + 7 = \dfrac{2}{(1 - sinx)(1 + sinx)}}

We know that : (a - b)(a + b) = a² - b²

\implies \sf{3tanx + 7 = \dfrac{2}{1 - sin^2x}}

We know that : 1 - sin²x = cos²x

\implies \sf{3tanx + 7 = \dfrac{2}{cos^2x}}

\sf{\bigstar \ \ We \ know \ that : \boxed{\sf{\dfrac{1}{cos^2x} = sec^2x}}}

\implies \sf{3tanx + 7 = 2sec^2x}

We know that : sec²x = 1 + tan²x

\implies \sf{3tanx + 7 =2(1 + tan^2x)}

\implies \sf{2 + 2tan^2x - 3 tanx - 7 = 0}

\implies \sf{2tan^2x - 3 tanx - 5 = 0}

\implies \sf{2tan^2x -  5tanx + 2tanx - 5 = 0}

\implies \sf{2tanx(tanx + 1) - 5(tanx + 1) = 0}

\implies \sf{(tanx + 1)(2tanx - 5) = 0}

\implies \sf{tanx = -1 \ (or) \ tanx = \dfrac{5}{2} }

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