Answer:
=6√3 the third option.
Step-by-step explanation:
We can use the Pythagoras theorem to find the value of y. We need two equations that include y.
a²+b²=c²
c=9+3=12
x²+y²=12²
x²=144 - y².........i (This is the first equation)
We can also express it in another way but let us find the perpendicular dropped to c.
perpendicular²= x²-3²=x²-9 according to the Pythagoras theorem.
y²=(x²-9)+9²
y²=x²+72
x²=y²-72....ii( this is the second equation
Let us equate the two.
y²-72=144-y²
2y²=144+72
2y²=216
y²=108
y=√108
In Surd form √108=√(36×3)=6√3
y=6√3
Answer:
6, 10, 8
Step-by-step explanation:
aₙ= aₙ₋₁ - (aₙ₋₂ - 4)= aₙ₋₁ - aₙ₋₂ + 4
a₅= -2
a₆= 0
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aₙ₋₂= aₙ₋₁ - aₙ + 4
- a₄= a₅- a₆ + 4 = -2 - 0 + 4 = 2
- a₃= a₄ - a₅ + 4 = 2 - (-2) + 4 = 8
- a₂= a₃ - a₄ + 4 = 8 - 2 + 4 = 10
- a₁= a₂ - a₃ + 4 = 10 - 8 + 4 = 6
The first 3 terms: 6, 10 and 8
1. irrational: √48 = 6.92820323028
2. rational: √9 = 3
3. irrational: √39 = 6.2449979984
4. rational: √289 = 14
