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>
t = 15 + x and t = 5 + 2x represents the system of equations for this real world situation
<em><u>Solution:</u></em>
<em><u>Workout Gym has a sign up fee of $15 and charges $1 per day for membership</u></em>
Therefore,
Sign up fee = $ 15
Charge per day = $ 1
Let "x" be the number of days charged for membership
Let "t" be the total charge for membership
<em><u>Thus, we frame a equation as:</u></em>
Total fee = sign up fee + charge per day (number of days)
Total fee = 15 + 1(x)
t = 15 + x ------- eqn 1
<em><u>Healthy Gym has a $5 sign up fee and charges a $2 daily fee</u></em>
Sign up fee = $ 5
Charge per day = $ 2
Let "x" be the number of days charged for membership
Let "t" be the total charge for membership
<em><u>Thus, we frame a equation as:</u></em>
Total fee = sign up fee + charge per day (number of days)
t = 5 + 2(x)
t = 5 + 2x ------- eqn 2
Thus eqn 1 and eqn 2 represent the system of equations for this situation
Answer:
B. 14 ⁴⁄₁₀
Step-by-step explanation:
I say its b because all u have to do it multiply 6 ⅕ but not the 6, just the 1 and the 5, just multiply by two and both fractions will have the same total amount which is 10 and 6 ⅕ will turn to 6 with 2/10 so all u have to do now is add that fraction to 8 ²⁄₁₀
Answer:
31 units
Step-by-step explanation:
When the figure is a parallelogram, opposite sides have the same measure:
AD = BC
3x +7 = 5x -9 . . . . . . substitute given expressions
16 = 2x . . . . . . . . . . . add 9-3x
8 = x . . . . . . . . . . . . . divide by 2
Use this value of x in the expression for AD to find its required length:
AD = 3(8) +7 = 24 +7
AD = 31 . . . . units
The length of segment AD must be 31 units for ABCD to be a parallelogram.
4+4+4+4+4+4+4+4=32 because you need to do 4 8 times to get 32. This is also called repeated addition
