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Answer:
D. Eric is correct; slopes are opposite reciprocals
Step-by-step explanation:
If they were to actually graph the lines, they could see immediately that the lines are perpendicular. Perpendicular lines have opposite reciprocal slopes.
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Solving the first equation for y gives ...
2x +3y = 12
3y = -2x +12
y = -2/3x +4
The slope of -2/3 for this first line is the opposite reciprocal of the slope 3/2 that the second line has.
Eric is correct; slopes are opposite reciprocals (choice D)
<u>Area of Banner is 4 sq.ft.</u>
<u>Step-by-step explanation:</u>
Class made 20 smaller rectangles
dimension of each rectangle = 3/5 ft × 1/3 ft
Area f banner = 20 * ( area of 1 rectangle)
⇒ 20 * ( 3/5 * 1/3 )
⇒ 20 * 0.2
⇒ 4 sq.ft
<u>Area of Banner is 4 sq.ft.</u>
<u></u>
Answer: y<2
Step-by-step explanation:
Since we can say a functions could be added to the system without changing the solution set if after including it to the system the feasible region of entire system is not affected.
Here, the solution to the system of inequalities is,
y≤ 0.5x+2
y>3x-3
Since after ploting these two enequslties in the graph we get our feasible region.
When we include y > 2 in the system there is no solution of the system.
Therefore it affects the system.
Now when we include y < 2 in the system the solution or feasible region remain same.
Therefore it does not affect the system.
When we include y > 3 in the system there is no solution of the system.
Therefore it affects the system.
When we include line y=3 in the system then the system has no solution.
Therefore, it affects the system.
Thus, second Option is correct.
Answer:
B. A(n)= 6.3n
Step-by-step explanation:
6×3=18
18×3=54
54×3=162