The equation which represents the data in the table as in the task content is; Choice C; y = 2x +3.
<h3>What is the equation which represents the data in the table as attached?</h3>
It follows from the task content that the slope of the relation can be determined by means of the slope formula for a linear equation as follows;
Slope = (1-(-1))/(-1 -(-2))
Slope = 2.
Hence, the equation which represents the function is;
2 = (y-(-1))/(x -(-2))
2x + 4 = y +1
y = 2x + 3.
Therefore, the equation which represents the data in the table as in the task content is; Choice C; y = 2x +3.
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Answer:
Rolling case achieves greater height than sliding case
Step-by-step explanation:
For sliding ball:
- When balls slides up the ramp the kinetic energy is converted to gravitational potential energy.
- We have frictionless ramp, hence no loss due to friction.So the entire kinetic energy is converted into potential energy.
- The ball slides it only has translational kinetic energy as follows:
ΔK.E = ΔP.E
0.5*m*v^2 = m*g*h
h = 0.5v^2 / g
For rolling ball:
- Its the same as the previous case but only difference is that there are two forms of kinetic energy translational and rotational. Thus the energy balance is:
ΔK.E = ΔP.E
0.5*m*v^2 + 0.5*I*w^2 = m*g*h
- Where I: moment of inertia of spherical ball = 2/5 *m*r^2
w: Angular speed = v / r
0.5*m*v^2 + 0.2*m*v^2 = m*g*h
0.7v^2 = g*h
h = 0.7v^2 / g
- From both results we see that 0.7v^2/g for rolling case is greater than 0.5v^2/g sliding case.
You had 12 the next day and the day after that you had 18
Answer:
2
Step-by-step explanation:
X-7=18
+7 to both side
X=25
