Answer:
- parallel
- not perpendicular
Step-by-step explanation:
1) It appears that coordinates of points on line P are (-6, 6) and (-2, 8). The slope formula tells us the slope of line P is ...
m = (y2 -y1)/(x2 -x1) = (8 -6)/(-2 -(-6)) = 2/4 = 1/2
Coordinates on line O appear to be (0, 6) and (4, 8). Its slope is ...
m = (8 -6)/(4 -0) = 2/4 = 1/2
The slopes of lines P and O are the same, so the lines are parallel.
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2) It appears that points on line M are (0, 6) and (2, 2). Its slope is ...
m = (2 -6)/(2 -0) = -4/2 = -2
Points on line K appear to be (0, 4) and (10, 10). Its slope is ...
m = (10 -4)/(10 -0) = 6/10 = 3/5
If lines M and K were perpendicular, the product of their slopes would be -1. Here, it is (-2)(3/5) = -6/5 ≠ -1. Lines M and K are not perpendicular.
I don’t know what some of that means but I can do the start for you? You rearrange
2x-y=1.
To do this, you +y to both sides, giving you 2x=1+y and then you minus 1, giving you 2x-1=y
Which can be rewritten the other way round to make it slightly easier
y=2x-1
You also have y=5x-5
These are both straight line equations and are now in the form y=mx+c
To sketch these graphs I would do two tables.
X -3 -2 -1 0 1 2 3
Y
For this, you now substitute each of the values for X into one of the equations you have. This is 2x-y=1 (2x-1=y)
X -3 -2 -1 0 1 2 3
Y -7 -5 -3 -1 1 3 5
You may have noticed a pattern there, the y values increased by two each time. This makes it linear. You would plot that line, onto an axis, using the coordinates you now have.
So, (-3, -7), (-2,-5), (-1,-3), (0,-1), (1,1), (2,3), (3,5)
Then I would do the same for the second equation, and plot that too.
X -3 -2 -1 0 1 2 3
Y -20 -15 -10 -5 0 5 10
You may have spotted this time the values increased by 5.
Then again plot this line using the coordinates shown.
I honestly have no idea what it means by “the line system on a corporate” but if that means on an axis then there’s your answer. If not then I do not know.
Hope this helps?
Answer:
2ft3
Step-by-step explanation:
V=lengthxwidthxheight
1ftx1ftx2ft
V=2
Answer: $869.90 × 12 = $10,438.80.
Step-by-step explanation:
