Reasoning Determine Whether the Lines Will Be Essay

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Reasoning

Determine whether the lines will be perpendicular when graphed.

2x + 3y = 6

The slope of perpendicular lines are the negative reciprocal of one another, therefore will solve for the slope of each line. Slope can be determined by solving for m in the equation y= mx +b where m is the slope.

3x-2y=

3x-2y-3x= 6-3x

-2y= -3x +

y = 3x/2 -- 3

m= 3/2 2x + 3y = 6

2x = 6- 2x

3y= 6-2x

y = 2 -- 2x/3

m= -2/3

Because the slopes are negative reciprocals, the lines are perpendicular.

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Alice's Restaurant has a total of 205 seats. The number of seats in the non-smoking section is 73 more than twice the number of seats in the smoking section. How many seats are in each section?

N= 73 + 2S

N+S = 205

+ 2S + S = 205

+ 3S =205

3S= 205-73

3S=132

S=

N= 73 +….....

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