The sum of two numbers is 0. Twice the smaller number subtracted from 3 times the larger number is 10. Let x represent th larger
number and y represent the smaller number Which equations represent this situation?
2 answers:
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Check the picture below.
3x - 2y + 2 = 0 → -2y + 2 = -3x → -2y = -3x - 2 → y = x + 1
x - y + 3 = 0 → -y + 3 = -
x → -y = -
x - 3 → y =
x + 3
These two equations have the same slope but different y-intercepts so they are parallel lines. (aka inconsistent).
Answer: Inconsistent, (0, 1), (0, 3)
Answer:
option (C) the same
Step-by-step explanation:
In the given question , it is mentioned that the ball of mass 0.2 kilograms is thrown with the velocity of 4 m/s in the horizontal direction
and, the 0.4 kilogram green ball is thrown in the horizontal direction with the velocity of 8 m/s
Here in both the cases no component of velocity in the vertical direction is provided.
Hence, it will be a case of free fall in the vertical direction.
Now,
from Newton's equation of motion, we have
here,
s is the distance
a is the acceleration
t is the time
in the above equation, mass has no role and the value of acceleration i.e acceleration due to gravity and distance of fall in the vertical direction is same.
Hence, the time taken for both the balls will be same.
Hence,
The correct answer is option (C) the same