Coefficients are added together because they are like terms, this can be proven with the distributive property. For example, x(2x+x)=2x^2+x^2=3x^2.
The commutative property of addition and the associative property demonstrate this.
The word "commutative" comes from "commute" or "move around", so the Commutative Property<span> is the one that refers to moving values around.
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The associative property<span> states that you can add or multiply regardless of how the numbers are grouped. </span>
Pytagorean theorem
height10
attached at 10-4=6 yards from bottom
8 yards from base to away
a^2+b^2=c^2
a and b are side legnths and c=hypotonuse
so therfore we are given a and b and we must solve for c
so
6=height
8=base
6^2+8^2=c^2
36+64=c^2
100=c^2
square root
10=c
so therfor the legnth of each cable is 10 yards
3 cables so 3 times 10=30
30 yards needed
There would be 60 houses left
Divide total bought by 3 and multiply by 20cents:
210/3 = 70
70 x 0.20 = $14.00
Subtract the amount they paid by the amount they made:
14.00 - 6.50 = $7.50
The profit made was: $7.50
