Y = k/x for some fixed number constant k
7 = k/9
k = 63
so Y = 63/x
14 = 63/x
14 x = 63
x = 63/14 = 9/2
Answer:
the answer would be 6x^2(x+6)(x-2)
Step-by-step explanation:
6x^4 + 24x^3-72x^2
= 6x^2(x^2+4x-12)
= 6x^2(x+6)(x-2)
Answer:
a) 6080 ft
b) 29.952 mph = 30 mph to 2s.f
c) 15.6 knots
Step-by-step explanation:
Length of an arc is given as (θ/360) × (2πr)
For a nautical mile, θ = 1' = (1/60)° = 0.01667°
Length of a nautical mile = (0.01667/360) × (2π × 3960) = 1.152 miles
1 mile = 5280 ft
1.152 miles = 5280×1.152 = 6082.1 ft = 6080 ft to the nearest 10 feet.
b) 1 knot = 1 nautical mile/hour
1 nautical mile/hour = 1.152 miles/hour (from part (a))
1 knot = 1.152 miles/hour
26 knots = 26 × 1.152 miles/hour = 29.952 mph = 30 mph to 2 s.f
c) 1.152 mph = 1 knot
18 mph = (18×1/1.152) knots = 15.625 knots
