It is necessary for an automobile producer to estimate the number of miles per gallon achieved by its cars. Suppose that the sam
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Answer:
Vector (ordered pair - rectangular form)
Vector (ordered pair - polar form)
Sum of vectorial components (linear combination)
Step-by-step explanation:
From statement we know that force exerted on the wagon has a magnitude of 30 pounds-force and an angle of 25° above the horizontal, which corresponds to the +x semiaxis, whereas the vertical is represented by the +y semiaxis.
The force (), in pounds-force, can be modelled in two forms:
Vector (ordered pair - rectangular form)
(1)
Vector (ordered pair - polar form)
Sum of vectorial components (linear combination)
(2)
Where:
- Norm of the vector force, in newtons.
- Direction of the vector force with regard to the horizontal, in sexagesimal degrees.
,
- Orthogonal axes, no unit.
If we know that and
, then the force exerted on the wagon is:
Vector (ordered pair - rectangular form)
Vector (ordered pair - polar form)
Sum of vectorial components (linear combination)
Hello!
Use the slope formula to solve for the slope of the line (m):
We can plug in the points (0, 4) and (1, 1) to solve:
Therefore, the slope of the line is -3.