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Mathematics

2 answers:

stepladder [879]3 years ago

8 0

Answer:

x = 21

Step-by-step explanation:

3x + 18 + 4x + 15 = 180

7x + 33 = 180

7x = 147

x = 21

krek1111 [17]3 years ago

7 0

Answer:

x = 21

Step-by-step explanation:

3x + 18 + 4x + 15 =180

7x + 33 = 180

7x = 147

x = 21

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Write the linear equation given two points (-6, 8) and (3, -7). *

horrorfan [7]

$\bf (\stackrel{x_1}{-6}~,~\stackrel{y_1}{8})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{-7}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-7}-\stackrel{y1}{8}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{(-6)}}}\implies \cfrac{-15}{3+6}\implies \cfrac{-15}{9}\implies -\cfrac{5}{3}$

$\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{8}=\stackrel{m}{-\cfrac{5}{3}}[x-\stackrel{x_1}{(-6)}]\implies y-8=-\cfrac{5}{3}(x+6) \\\\\\ y-8=-\cfrac{5}{3}x-10\implies y = -\cfrac{5}{3}x-2$