Answer:
The first one, an=n-2
Step-by-step explanation:
The slope of the linear equation is 1. You can notice the y intercept would be -2, therefore the equation is an=n-2.
If the shape is the same, but the size is different, <em>dilation is involved</em>. There may be other transformations that are also involved (such as rotation, translation, or reflection), so MNPQ may or may not be a straight dilation of M'N'P'Q'.
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Translation and dilation can sometimes be combined to a dilation about a point that is not the origin. Reflection might be accommodated by using a negative dilation factor. However, rotation cannot be accomplished using dilation alone.
Let f and s represent the weights of the first and second objects, respectively.
.. f - s = 200 . . . . . . . . the first is 200 lb heavier than the second
.. s = (1/3)f . . . . . . . . . . the second was 1/3 the weight of the first
In augmented matrix form, the equations can be written
.. f - s = 200
.. f - 3s = 0
The solution is
.. f = 300
.. s = 100
Their total weight is 400 lb, not enough to kill Mr. Boddy. The physics-loving professor is apparently innocent.
Answer:
$316.
Step-by-step explanation:
The terms that have n can be operated:
15n +12n + 100 = 27n +100. Then, we have that
total cost = 27n +100 for n skiers. So, for 8 skiers we have
total cost = 27(8) +100 = 216 + 100 = 316.
Then, the total cost of 8 skiers is $316.