Step-by-step explanation:
by Pythagoras theorem:
perpendicular² + base²= hypotenuse²
(1/√2)²+ (1/√3)² = H²
1/2+1/3= H²
5/6 = H²
√(5/6 )= H
√5/√6 = H
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Answer:F=7
Step-by-step explanation:
Answer:
Step-by-step explanation:
We see that the two terms share an x, so we can pull that out:
Now notice that we have a difference of squares (
). Given a difference of squares, 
, this can always be factored into 
. We can use this in this case: 
.
So, our final factorized form is: .
Hope this helps!
x and y are the packs of organic and inorganic fertilizer, respectively.
pounds of nitrogen added = 2x + 6y = 120
pounds of potassium added = 3x + 2y = 54
eliminate the y terms. subtract the first equation from 3 times the second equation.
9x + 6y = 162
-2x - 6y = -120
------------------
7x = 42
x = 6
y = 18
<span>y in (-oo:+oo)
(3*y+6)/11 = -9 // + 9
(3*y+6)/11+9 = 0
(3*y+6)/11+(9*11)/11 = 0
3*y+9*11+6 = 0
3*y+105 = 0
(3*y+105)/11 = 0
(3*y+105)/11 = 0 // * 11
3*y+105 = 0
3*y+105 = 0 // - 105
3*y = -105 // : 3
y = -105/3
y = -35
y = -35</span>
