considering the line negative x -6 y equals -6 what is the line perpendicular with a slope of a line perpendicular to this line what is the slope of the line parallel to this line

9514 1404 393

  perpendicular: undefined

  parallel: zero

Step-by-step explanation:

The line y = -6 is a horizontal line. Between any two points on the line, the difference in y-values is zero, and the difference in x-values is non-zero. The slope of this horizontal line is the ratio of these differences:

  slope = 0/(non-zero) = 0

Any parallel line will have the same slope. The slope of a parallel line is 0.

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A line perpendicular to a horizontal line is a vertical line. It will have the equation x = constant. Between any two points on the line, the difference in y-values is non-zero, and the difference in x-values is zero. The slope of this vertical line is the ratio of these differences:

  slope = (non-zero)/0 = undefined

The slope of the perpendicular line is undefined.

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.

7 ft 6 in means 7 1/2, because 6 in is 1/2 of a foot. 7 ft 8 in means 7 2/3 because 8 in is 2/3 of a foot. 23/3 = 7 2/3. 15/2 = 7 1/2.

23/3   *   15/2   = 57 1/2

step-by-step explanation: