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3. He started out with 36 cards and then added 372 more. So now he has a total of 408 cards. He has 5 folders each with the same number of cards. 408 divided by 5 = 45 with three left over.
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:
a= 2 b=-9
Step-by-step explanation:
Please refer to the picture attached.
You can clarify the answer by substituting random points like (0,0) and transformed point
E. G. (0, - 4) in step 1 and (4,0) in step 2 into the original equation and transformed equation for checking.
A = 1/2 * b * h
A = 178.5
b = h + 4
178.5 = 1/2 * (h + 4) * h
357 = h^2 + 4h
h^2 + 4h - 357 = 0
(h - 17)(h + 21) = 0
h - 17 = 0
h = 17
h + 21 = 0
h = -21 .....not this one because it is negative
b = h + 4
b = 17 + 4
b = 21
so the height is 17 inches and the base is 21 inches <==
