Check the picture below.
so, hmmm notice, since i² = -1 and i⁴ = 1, whenever the exponent is only divisible by 2, the value will be -1, and whenever the exponent is divisible by 4, we end up with a +1, so every subsequent even exponent is simply cancelling the previous value, if we take that to the even value of 100, which has 50 pairs of those, we end up with, yeap, you guessed it, 0.
Answer:
Step-by-step explanation:
GH bisects ∠FGI
∠HGI = ∠HGF
4x - 14 = 3x - 3
4x = 3x - 3 + 14 {Add 14 to both sides}
4x = 3x + 11 {Subtract 3x from both sides}
4x - 3x = 11
x = 11
∠HGI = 4x - 14
= 4*11 - 14
= 44 - 14
= 30°
∠FGI = 30 + 30
= 60°
Answer:
x⁴ + 3x³ - 5x + 1
Step-by-step explanation:
(x - 1)(x³ + 4x² + 4x - 1)
Same as writing....
x(x³ + 4x² + 4x - 1) - 1(x³ + 4x² + 4x - 1)
x⁴ + 4x³ + 4x² - x - x³ - 4x²- 4x + 1
x⁴ + 3x³ - 5x + 1
Answer:
Surface area of a square prism = 4 × (s × h) = 4sh, where, s is the length of the side of the square and h is the height of the square prism.
Answer:
7, 11, 14 feet from shortest to longest
Step-by-step explanation:
Let's say that the shortest pipe is equal to x, and work from there.
The medium size piece is 4 feet longer than the shortest piece, so it is equal to 4+x
The longest piece is twice as long as the shortest piece, so it is equal to 2 * x.
The three pieces added up make up the 32 feet pipe, so we can write this as
(2*x) + (4+x) + x = 32
2*x + 4 + x + x = 32
4 * x + 4 = 32
subtract 4 from both sides to isolate the x and its coefficient
4 * x = 28
divide both sides by 4 to isolate the x
x= 7
Therefore, the shortest piece is x=7 feet long. The medium piece is x+4=11 feet long, and the longest piece is x*2=14 feet long