Which statement is true? GRAPHA GRAPH B
2 answers:
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Answer:
Either y = or, y =
Step-by-step explanation:
We have to solve the following quadratic equation
45y² + 15y - 10 =0
Now, dividing both sides with 5 we get, 9y² + 3y -2 =0
Hence, to solve the above equation we have to factorize the left-hand part of the equation.
So, 9y² + 3y - 2 =0
⇒ 9y² +6y -3y -2 =0
⇒ (3y +2) (3y -1 ) =0
⇒ Either (3y +2) =0 or (3y -1) =0
⇒ Either y = or, y =
(Answer)
Answer:
1,809.98 lb*m/s^2
Step-by-step explanation:
First, we want to know how much weight of the boulder is projected along the path in which the boulder can move.
The weight of the boulder is:
W = 322lb*9.8 m/s^2 = (3,155.6 lb*m/s^2)
This weight has a direction that is vertical, pointing downwards.
Now, we know that the angle of the hill is 35°
The angle that makes the direction of the weight and this angle, is:
(90° - 35°)
(A rough sketch of this situation can be seen in the image below)
Then we need to project the weight over this direction, and that will be given by:
P = W*cos(90° - 35°) = (3,155.6 lb*m/s^2)*cos(55°) = 1,809.98 lb*m/s^2
This is the force that Samuel needs to exert on the boulder if he wants the boulder to not roll down.
