A.21 3/5
B.17 1/6
C.15
D.3/5
line b
line c
line d
The line which represents the direct variation equation y = 1/2 x is: line c.
We know that every straight line has the equation
y = (slope) x + (y-intercept) .
Here, we have, this line y = 1/2 x,
the equation doesn't show any y-intercept.
The y-intercept is zero,
meaning that the line crosses the y-axis at the place where y=0.
That's the origin where the x- and y-axes cross.
so, we get, the line goes through the origin.
from the given graph we get,
There are only two lines there that go through the origin,
so one of those is the answer to the question.
Now, we have to find the slope of a line.
we know that,
If the slope of a line is positive, that means it rises as it goes.
If the slope of a line is negative, that means it falls as it goes.
The equation of the line is [ y = 1/2 x ].
The slope is 1/2 .
That's positive.
The line on the graph slopes up.
so, we get,
In the picture, that can only be line 'c' .
Hence, The line which represents the direct variation equation y = 1/2 x is: line c.
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Although the gardener applies the same amount of force to the wheelbarrow, he cannot move it with the same rate of acceleration.
What should the gardener do to move the wheelbarrow at the same rate of acceleration for the second trip?
A. reduce the amount of soil by one-half and apply the same amount of force
B. keep the amount of soil the same and apply less force
C. reduce the amount of soil by one-quarter and apply the same amount of force
D. double the amount of soil, and apply less force
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Answer:
Step-by-step explanation:
it seems to me that if he wants the same rate of acceleration as the first trip, then he would need the same amount of soil as the first trip.
Therefore, he should reduce the amount of soil by one half and apply the same force. <====
Because the first time it was half full.....and since the second trip was all the way full, if he reduced it by one half, it would contain the same amount as the first trip....so he can then get the same rate of acceleration.
Answer:
A.
Step-by-step explanation:
According to Newton's second law of motion, an object with a larger mass requires more force to accelerate it at a certain rate than an object with less mass. This means that an object with a larger mass requires more force to accelerate.
To move the wheelbarrow at the same rate of acceleration for the second trip, the amount of soil must be the same as in the first trip. Since the gardener first filled only one-half of the wheelbarrow with soil, the gardener must reduce the amount of soil by one-half and apply the same amount of force.