$2x+3y=21\implies 3y=-2x+21\implies y=\cfrac{-2x+21}{3} \\\\\\ y=\cfrac{-2x}{3}+\cfrac{21}{3}\implies y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{2}{3}}x+7\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}$

therefore then

$\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{-2}{3}} ~\hfill \stackrel{reciprocal}{\cfrac{3}{-2}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{3}{-2}\implies \cfrac{3}{2}}}$

3 0

2 years ago

Identify the type of transformation in the following graphic and describe the change.

Novay_Z [31]

Answer:

uhuhuhuhu

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

A flagpole casts a shadow that is 23 feet long. Jorge is 5.25 feet tall, and

garri49 [273]

Answer:

5.5

7.5 =

23.5

7.5h = 129.25

h = 17.2

The flagpole is 17.2 feet long.

8 0

3 years ago