A ball flies through the air. Right before it hits the ground, its speed is 10 meters/second and it has 500 joules of kinetic energy. The mass of the ball is kilograms.

10 kg

Step-by-step explanation:

Formula for the kinetic energy:

½mv²

Find the mass:

= ½ × m × 10² = 500 joules

= 50 × m

m = 500 ÷ 50

m = 10 kg

The answer is 10 kg.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is