what is the solution of the system of equations? y = –2x 8 y = x – 4 a. (–1.33, –5.33) b. (4, 0) c. (0, 4) d. (–12, 32)
2 answers:
You might be interested in
Answer:
option 4 ⇒ 236 lb.
Step-by-step explanation:
Best explanation of the question is as shown in the attached figure.
we will use the parallelogram method to calculate resultant force.
to get the length of the resultant force ⇒ use the cosines law
The cosine law is a² = b² + c² - 2 * b * c * cos (∠A)
Applying at the question where b = F₁ , c = F₂ and ∠A = ∠x
Given that F₁ = 100 pounds , F₂ = 150 pounds and ∠x = 180° - 40° = 140°
∴ (Resultant force)² = 100² + 150² - 2 * 100 * 150 * cos (∠140) = 55481
∴ Resultant force = √55481 = 235.54 ≅ 236 pounds
The answer is option 4 ⇒ 236 lb.
With the curve 
parameterized by
with
, and given the vector field
the work done by
on a particle moving on along is given by the line integral
where
The integral is then
with
the work done by
where
The integral is then