15x+3x+10 = 38x-20x+10
18x+10 = 18x+10
18x-18x = 10-10
0 = 0
The equation is true.
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.
Y + 2 = -2(x - 5)
Simplify.
y + 2 = -2x + 10
Subtract 2 from both sides.
y = -2x + 10 - 2
Simplify.
y = -2x + 8 → Slope-intercept form
Our answer is the second option : y=-2x+8
~Hope I helped!~
Answer:
y=10
Step-by-step explanation:
A bagel store bakes 57 bagels.Throughout the day, they sell all 57 bagels, leaving them with 0. Hope this helps