Answer:
see below
Step-by-step explanation:
Let f = number of friends
all but one friend got 6 pieces and 1 friend got 2 for a total of 50 pieces
6(f-1) + 2 = 50
Subtract 2 from each side
6(f-1) +2-2 = 50-2
6(f-1) = 48
Divide by 6
6(f-1)/6 = 48/6
f-1 = 8
Add 1 to each side
f-1+1=8+1
f=9
Jack has 9 friends at the party
With Jack and his mom, there are 11 people
RTP: [a tan(u) + b]² + [b tan(u) - a]² = (a² + b²) sec²(u)
Proving LHS = RHS:
LHS = [a tan(u) + b]² + [b tan(u) - a]²
= a² tan²(u) + 2ab tan(u) + b² + b² tan²(u) - 2ab tan(u) + a²
= (a² + b²) tan²(u) + (a² + b²)
= (a² + b²)[tan²(u) + 1]
= (a² + b²) sec²(u), using the identity: tan²(x) + 1 = sec²(x)
= RHS
Answer:
well it depends
Step-by-step explanation:
If there are 7 blocks and 3 are yellow the fraction is 3/7
This is the sum of cubes which factors to:
(x+2)(x^2-2x+4)