Answer: m = 3/2, b = -5
Step-by-step explanation:
When we input these values into slope-intercept form y = mx + b, then we get y = 3/2x -5. When trying out different x values, we get the same points that are on the line such as (2, -2) also the y-intercept is -5, so we know it is a true statement and that the slope 3/2 and y-intercept -5 are the only correct answers for this line.
Step-by-step explanation:
(i) Sum the forces at point M in the x direction.
∑F = ma
-T sin 30° − T sin 30° + 5 N = 0
2T sin 30° = 5 N
T = 5 N
(ii) Sum the forces on the ring in the x direction.
∑F = ma
T sin 30° − N = 0
N = 2.5 N
Sum the forces on the ring in the y direction.
∑F = ma
T cos 30° − mg − Nμ = 0
Nμ = T cos 30° − mg
2.5 μ = 5 cos 30° − 2
μ = 0.932
(iii) Sum the forces on the ring in the y direction.
∑F = ma
T cos 30° − m₁g − m₂g + Nμ = 0
m₂g = T cos 30° − m₁g + Nμ
m (10) = 5 cos 30° − 2 + (2.5)(0.932)
m = 0.466 kg
When it is greater than 9.
Example
15
x 5
——-
5x5 is 25, so you would leave 5 and carry the 2
2
15
x. 5
——-
5
Answer:
4y + 24
Step-by-step explanation:
4(y + 6) = 4y + 24
