Answer:
x>
−2
3
Step-by-step explanation:
False. The postulate states: If two <span>
parallel</span> lines
are cut by a transversal, the interior angles on
the same side of the transversal are
supplementary.
Answer:
0.3.
Step-by-step explanation:
0.3|0.09
move the decimal over once on both sides.
03|.9
3
03.|.9
- 9
_______
0
Answer:
α² +β² = 3 4/9
Step-by-step explanation:
Assuming α and β are solutions to the equation, it can be factored as ...
(x -α)(x -β) = 0
Expanding this, we get ...
x² -(α +β)x +αβ = 0
Dividing the original equation by 3, we find ...
x² +(1/3)x -5/3 ≡ x² -(α+β)x +αβ ⇒ (α+β) = -1/3, αβ = -5/3
We know that the square (α+β)² can be expanded to ...
(α +β)² = α² +β² +2αβ
α² +β² = (α +β)² -2αβ . . . . . . subtract 2αβ
Substituting the values for (α+β) and αβ, we find the desired expression is ...
α² +β² = (-1/3)² -2(-5/3) = 1/9 +10/3 = 31/9
α² +β² = 3 4/9
He would spend $65.80 on 20 gallons of gas.
