Answer:
B. Subtract the bottom equation from the top equation.
Step-by-step explanation:
When looking at the two equations:
8x + 8y = 2
8x + 5y = 1
We can easily get rid of the x variable by subtracting the two equations from each other since the terms are equivalent. This would allow us to solve for the y value, which we could plug into the an equation to solve for the x value.
Alll are integers since they are defined exactly.
It's 180-50-50=180-100=80°
Answer:
P(3) is true since 2(3) - 1 = 5 < 3! = 6.
Step-by-step explanation:
Let P(n) be the proposition that 2n-1 ≤ n!. for n ≥ 3
Basis: P(3) is true since 2(3) - 1 = 5 < 3! = 6.
Inductive Step: Assume P(k) holds, i.e., 2k - 1 ≤ k! for an arbitrary integer k ≥ 3. To show that P(k + 1) holds:
2(k+1) - 1 = 2k + 2 - 1
≤ 2 + k! (by the inductive hypothesis)
= (k + 1)! Therefore,2n-1 ≤ n! holds, for every integer n ≥ 3.
Answer:
144-36=108
Square root 108 = 10.4cm (cb)
Soh Cah toa
Sin(55) =o/h
=10.4/h
xh
H x sin55 =10.4
÷sin55
H= 10.4/sin55
H=12.7cm
CD is 12.7cm to 3 s.f.
