The mass varies directly as the Kinetic energy (K) and inversely as the square of the velocity (V). if the kinetic energy is 80 Joules and the velocity is 4 meters per second, then the mass is 10 kilograms. Express the mass as a function of kinetic energy and velocity.

m =

Step-by-step explanation:

Given mass (m ) varies directly as K and inversely as v² then the equation relating them is

m = ← k is the constant of variation

To find k use the condition m = 10 when K = 80 and v = 4 , then

10 = = ( multiply both sides by 16 to clear the fraction )

160 = 80k ( divide both sides by 80 )

2 = k

m = ← equation of variation

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1. supplementary angles

2. acd and bcd

step-by-step explanation: