Answer: Z'(-7;8)
suppose the coordinates of Z' is Z'(x,y)
we have:
=> Z'(-7;8)
Step-by-step explanation:
Use the ! tool to find the # of combinations.
8!/5! = 40,320/120 = 336
The 0.072 will be you're answer
You can write two equations using the given information:
.. L = W +8
.. L * W = 609
Using substitution, you get a quadratic.
.. (W +8) * W = 609
.. W^2 +8W -609 = 0
Not surprisingly, you're looking for factors of 609 that differ by 8.
.. 609 = 1*609 = 3*203 = 7*87 = 21*29
The last two are the factors of interest.
.. (W +29)(W -21) = 0
The width of the rectangle is 21 feet, the length is 29 feet.
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Sometimes it is easier to work with the average dimension. Here, let that be x. Then you have
.. (x +4)(x -4) = 609
.. x^2 -16 = 609
.. x^2 = 625 = 25^2 . . . . . . . one of your memorized math facts
So, the dimensions are
.. 25 +4 = 29 by 25 -4 = 21, that is, 29 ft by 21 ft.
If you make them have the same denominator the fractions would be
12/15 - 5/15=
this equals 7/15 and you can't simplify it.
