10x^2 = 50x.....subtract 50x from both sides
10x^2 - 50x = 0...factor
10x(x - 5) = 0
10x = 0
x = 0 <== this one is eliminated because x cannot be zero
x - 5 = 0
x = 5 <== ur 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.
Answer:
7
Step-by-step explanation:
Ok, so we know one point is (4,2) and the other is (-4, 0)
Slope: -2/-8 = 1/4
y ? 1/4x + b
0 = -1 + b
b = 1
y < 1/4x + 1
Answer:

Step-by-step explanation:
45 - 45 - 90 Triangles
When one leg = x, the hypotenuse = x
So, if the hypotenuse is 1, then divide by
to get the leg.
rationalize denominator.
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