1.5r-3r+8r+2.5r= please show me what the equation is in simplest form thanks
1 answer:
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Answer:
Part 1) Subtraction Property of Equality
Part 2) This property can be used , because addition and subtraction have inverse relationships
Step-by-step explanation:
we know that
The<u><em> subtraction property of equality</em></u> tells us that if we subtract from one side of an equation, we also must subtract from the other side of the equation to keep the equation the same
so
we have
Solve for y
Applying Subtraction Property of Equality
subtract 10.50 both sides
Remember that this property can be used , because addition and subtraction have inverse relationships.
Answer:
a) distance halfway = 16.49 [m], displacement halfway = 10.5 [m]
b) distrance traveled increases when the child completes one circuit of the track.
Step-by-step explanation:
a) Distance is a scalar quantity that tells you how much space a body has covered when moving. Displacement is a vector quantity that tells you how far from its initial position and object is after moving.
In this case, the child goes around the track only halfway from point 1 to point 2. We know the circunference or perimeter of a circle to be 2*PI*radius. We also know the child only when halfway, so we need to divide the perimeter by 2, thus we get distance = PI*radius
- distance halfway = (PI)*(5.25) = 16.49 [m]
And now that we know the definition of displacement, we can easily see that the child went from point 1 to point 2 which is located at a distance of 1 diameter from point 1:
- displacement halfway = D = 2*radius = 2(5.25) = 10.5 [m]
b)What happens to the distance when the child completes one circuit? The distance will increase beause he is now completing the circuit so he is covering more ground in his movement:
- distance circuit = 2*(PI)*radius = 2(PI)(5.25) = 32.99 [m]
32.99 is more than 16.49 so we are certain that the distance increases.
