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3 years ago

9

Write an equation in slope intercept from of the line that passes through the point (3,-2) with slope -2

1 answer:

patriot [66]3 years ago

6 0

$\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{-2})~\hspace{10em} slope = m\implies -2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-(-2)=-2(x-3) \\\\\\ y+2=-2x+6\implies y=-2x+4$

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If A = 30° and r = 12, find x. (Round your answer to the nearest whole number.)

Margaret [11]

Answer:

$\boxed{12}$

Step-by-step explanation:

A = 30° and r = 12

$\sin A = \frac{r}{r + x}$

$\sin 30 = \frac{12}{12 + x}$

$\frac{1}{2} = \frac{12}{12 + x}$

$1(12 + x) = 2(12)$

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$x = 24 - 12$

$x = 12$

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Lady_Fox [76]

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