We use the fact that if x+y+z = 0, then x³+y³+ z³ = 3 x y z.<span>
(x</span>²-y²) + (y²-z²) + (z²-x²) = 0<span>
also: (x-y) + (y-z)+ (z-x) = 0
we assume that: x </span>≠y ≠ z.
<span>
hence,
(x²-y²)³ + (y²-z²)³ + (z²-x²)³ ÷ (x-y)³ + (y-z)³ + (z-x)³
= 3 (x</span>²-y²) (y²-z²) (z²-x²) ÷ [3 (x-y) (y-z) (z-x)]
<span>= (x+y) (y+z) (z+x)</span>
Answer:
x = - 7, x = 0
Step-by-step explanation:
Given
x² + 7x = 0 ← factor out x from each term on the left side
x(x + 7) = 0
Equate each factor to zero and solve for x
x = 0
x + 7 = 0 ⇒ x = - 7
9514 1404 393
Answer:
$62.22
Step-by-step explanation:
Let m represent the pre-tax, pre-tip price of the meal. Then the total cost is ...
m + tax + tip
= m + 7%·m +15%·m
= m(1 +7% +15%) = 1.22m
= 1.22($51) = $62.22
The total cost of the meal is $62.22.
Answer:
1) 9
2)5.85
Step-by-step explanation:
Answer:
C.
Step-by-step explanation:
you can automatically tell that it is C because the angles are a right angle together. A right angle is 90 degrees, which means that the angles together would be x=(4z-85)=90
