Calculate the value of the expression (-8)·(-1/3)
1 answer:
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Answer: (-2,-5)
Step-by-step explanation:
The rotation rule for rotating a figure about is given by :-
, where (x,y) is the coordinates for pre-image and (y,-x) is the coordinates for image. (1)
Given : The coordinates of LMN are L (4,5), M (5,-2), and N (0,0).
If the triangle is rotated 270° about point N
Then, the coordinates of M , will be :
(Using the rule described in (1))
Hence, the coordinates of M after rotated 270° about point N=(-2,-5).
Answer:
Velocity of the 24.6 g marble is 31 cm/s.
Step-by-step explanation:
Given:
Marble 1:
Mass of the marble = 12.3 gm
Velocity of before collision
= 15.5 cm/s
Velocity of after collision
= 77.5 cm/s
Marble 2:
Mass of the marble = 24.6 gm
Velocity of before collision
= 62 cm/s
Velocity of after collision
= ?
From the law of conservation of momentum, we know that momentum before equals the momentum after :
So,
⇒
⇒
⇒ Plugging the values.
⇒
⇒
⇒
⇒ ...subtracting both sides 953.25
⇒
⇒ ...dividing both sides with 24.6
⇒
⇒ cm/s
The velocity of the 24.6 g marble after the collision is 31 cm/s and it will move opposite to of the 12.3 g marbles that is towards left.