Find YZ and WZ in rectangle WXYZ.
1 answer:
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Answer:
The number is 86
Step-by-step explanation:
Let the number be , then the reverse is
The sum of the reversed number and the original number is 154,
We simplify this to get:
....eqn(1)
If the ones digit in it is 2 less than the tens digit, then
....eqn(2)
Putt equation (2) in (1)
Put x=8 in the second equation:
The original number is 86
You can factor this out by thinking of the factors of 56 that have a sum of -1. 7 and 8 are factors of 56 and to get a sum of -1, 8 should be negative. 7 + -8 = -1
So
factored out is (y+7x)(y-8x)
We can check this using FOIL
F = (y)(y) =
O = (y)(-8x) = -8xy
I = (7x)(y) = 7xy
L = (7x)(-8x) =
Combine like terms
So
We can check this using FOIL
F = (y)(y) =
O = (y)(-8x) = -8xy
I = (7x)(y) = 7xy
L = (7x)(-8x) =