M = 2/3, B = -5 M = -5, b = 3/2 M = 2, b = -6 M = -5, b= 2

Mathematics

1 answer:

MA_775_DIABLO [31]3 years ago

8 0

Answer: m = 3/2, b = -5

Step-by-step explanation:

When we input these values into slope-intercept form y = mx + b, then we get y = 3/2x -5. When trying out different x values, we get the same points that are on the line such as (2, -2) also the y-intercept is -5, so we know it is a true statement and that the slope 3/2 and y-intercept -5 are the only correct answers for this line.

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$\bf \textit{Double Angle Identities}
\\ \quad \\
sin(2\theta)=2sin(\theta)cos(\theta)
\\ \quad \\
cos(2\theta)=
\begin{cases}
cos^2(\theta)-sin^2(\theta)\\
1-2sin^2(\theta)\\
\boxed{2cos^2(\theta)-1}
\end{cases}
\\ \quad \\
tan(2\theta)=\cfrac{2tan(\theta)}{1-tan^2(\theta)}\\\\
-------------------------------\\\\
$

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\\\\\\
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</span> $\bf cos(\theta)=\cfrac{\sqrt{11}}{\sqrt{12}}\implies cos(\theta)=\cfrac{\sqrt{11}}{2\sqrt{3}}
\\\\\\
\textit{now, let's rationalize the denominator}
\\\\\\
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</span>

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