6 2/3 = 20/3 = 60/9
4 4/9 = 40/9
60/9 - 40/9 = 20/9 = 2 2/9
greatest common factor=gcf
least common multule=lcm
with 12 and 16
factors of 12=2 times 2 times 3
factors of 16=2 times 2 times 2 times 2
greates common factor is 2 times 2=4
least common multiple means all factors combined minus repeats or 2 times 2 times 2 times 2 time 3=48
Answer:
1/32v²sin2θ
Step-by-step explanation:
Given the expression r(theta) = 1/16v²sinθcosθ
According to double angle of trigonometry identity;
Sin2θ = sin(θ+θ)
Sin2θ = sinθcosθ + cosθsinθ
Sin2θ = 2sinθcosθ
sinθcosθ = sin2θ/2 ... **
Substituting equation ** into the question
1/16v²sinθcosθ = 1/16v²(sin2θ/2)
1/16v²sinθcosθ = 1/2×1/16v²(sin2θ)
1/16v²sinθcosθ = 1/32v²sin2θ
Hence using the double angle identity, the equivalent expression is 1/32v²sin2θ
Answer:
p=-9
Step-by-step explanation:
13p+42=-57+2p
Subtract 2p from each side
13p-2p+42=-57+2p-2p
11p +42 = -57
Subtract 42 from each side
11p+42-42=-57-42
11p = -99
Divide each side by 11
11p/11 = -99/11
p = -9