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Ivahew [28]
3 years ago
13

Please Helpp Mee! I need it NOW!

Mathematics
2 answers:
Veronika [31]3 years ago
6 0
-14,-16,10 i may be wrong sorry!♡︎♡︎
lyudmila [28]3 years ago
3 0

Answer:1st one 2nd one and 8th

Step-by-step explanation:

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What is the solution to the system of equations below? Please show work.
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Answer:

2)     (0,-3)

Step-by-step explanation:

hello :

put x=0 and y= -3 in this system !

Y = 3/4x - 3

3x - 4y = 12

- 3 = 3/4(0) - 3  means : -3 = -3 ......true

3(0) - 4(-3) = 12  means : 12= 12 ......true

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If sinx+sin^2x=1 then what is the value of cos^12x+3cos^10x+3cos^8x+cos^6x
mr_godi [17]
\sin x+\sin^2x=1\implies\sin x=1-\sin^2x=\cos^2x

\cos^{12}x+3\cos^{10}x+3\cos^8x+\cos^6x=\sin^6x+3\sin^5x+3\sin^4x+\sin^3x
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Let y=\sin x. Then

\sin^2x+\sin x-1=0\iff y^2+y-1=0\implies y=-\varphi,y=\varphi-1

where \varphi=\dfrac{1+\sqrt5}2\approx1.61803 is the golden ratio.

\begin{cases}y=-\varphi\\y=\varphi-1\end{cases}\implies\begin{cases}\sin x=-\varphi\\\sin x=\varphi-1\end{cases}

Since |\sin x|\le1 for all real x, we can omit the first equation, leaving us with

\sin x=\varphi-1\approx0.61803

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=(\varphi-1)^3\varphi^3
=1

where the last equality follows from the fact that \varphi=1+\dfrac1\varphi.
7 0
3 years ago
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