Answer:
The coordinates of the point X:
Step-by-step explanation:
Let X be the point.
As the point X is in the directed line segment from (-2,-8) to (5,-1) into the ratio of 1 to 6
i.e.
Rise = y₂ - y₁
Run = x₂ - x₁
1 : 6 ratio means the point X lies at
Thus,
rise for X 
run for X
Thus, coordinates of X will be:
Therefore, we conclude that:
The coordinates of the point X:
Answer:
sin o = opposite/hypotenuse
sin o= 7/12
Answer:
54.8 Nm
Step-by-step explanation:
Torque is the cross product of the radius vector and force vector:
τ = r × F
Another way to write it is the product of the radius and force magnitudes times the sine of the angle between the vectors.
τ = rF sin θ
Here, r = 0.366 meters and F = 155 Newtons. F is in the +y direction, and r is 15° below the +x axis, so the angle between the vectors is 90° − 15° = 75°.
τ = (0.366 m) (155 N) (sin 75°)
τ = 54.8 Nm
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you need to find how much the output changes for each unit change in the input. (ie from an input change from 5 to 6 the output changes by three units and an input change of 3 (2 - 5 ) units the output changes by 9 units). This will give you the gradient of the equation. then you have to find out the y intercept by finding what the output is when the input is 0. Do this by multiplying the input by the gradient and then subtracting it from that inputs output. This will give you the answer A) 3x
(Sorry, its a bit wordy :) )
