Answer:
Step-by-step explanation:
- A) x⁶ + 27y⁹ = (x²)³ + (3y³)³ - sum of cubes
- B) 3x⁹ - 64y³ - the first term is not a cube
- C) 27x¹⁵ - 9y³ - the second term is not a cube
- D) 125x²¹- 64y³ = (5x⁷)³ - (4y)³ - difference of cubes
Correct option is the last one
Raising a whole number to a power means:
Take (a number of things) a number of times, and then possibly
take that big number of things a number of times again.
Raising a fraction to an exponent means:
Take a piece of (a piece of one thing), and then possibly
take just a piece of that smaller piece.
You can start by subtracting different equations from each other.
3x + 2y + 3z = 1
subtract
3x + 2y + z = 7
2z = -6
divide by 2
z = -3
add the following two expressions together:
3x + 2y + z = 7
3x + 2y + 3z =1
6x + 4y + 4z = 8
subtract the following two expressions:
6x + 4y + 4z = 8
5x + 5y + 4z = 3
x - y = 5
^multiply the whole equation above by 3
3x - 3y = 15
subtract the following two expressions:
3x - 3y = 15
3x + 2y = 10
-5y = 5
divide each side by -5
y=-1
take the following expression from earlier:
x - y = 5
substitute y value into above equation
x - - 1 = 5
2 negatives make a positive
x + 1 = 5
subtract 1 from each side
x = 4
Therefore x = 4, y = -1, z = -3
I checked these with all 3 equations and they worked :)
(it's quite complicated, comment if you don't understand anything) :)
Answer:
8 square units
Step-by-step explanation:
x + 1 = 0
x = -1
x + 8 = 0
x = -8
Area = (-1) * (-8) = 8 square units
9514 1404 393
Answer:
RS = √(b² +(c -a)²)
Step-by-step explanation:
Put the given point coordinates in the given formula:
- R = (x₁, y₁) = (0, a)
- S = (x₂, y₂) = (b, c)
RS = √((b -0)² +(c -a)²)
RS = √(b² +(c -a)²)