Parallel lines What is the segment
2 answers:
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Answer:
(-2)
Step-by-step explanation:
We have to find the determinant of the given matrix,
det A = (a - 1)(a² + a + 1) - (a + 1)(a² - a + 1)
= a(a² + a + 1) - 1(a²+ a + 1) - a(a² - a + 1) - 1(a² - a + 1)
= a³ + a² + a - a² - a - 1 - a³ + a² - a - a² + a - 1
= (a³ - a³) + (-a² + a² - a² - a²) - 1 - 1
= -2
Therefore, determinant of the given matrix is (-2).
Answer:
a) is demonstrated below, b) T=1.462N, c) T=14.6N
Step-by-step explanation:
a) Refer to the attached diagram.
Since the bird is standing in the middle of the line and each half is a straight line, Ta=Tb, so we will call the tension T=Ta=Tb and Tay=Tby
By trigonometry Tay=Ta·Sinθ
Since the system is in equilibrium W=Tay+Tby then:
W=2·Tay=2·Ta·Sinθ=2·T·Sinθ
Since W=mg, being m the mass of the bird and g, gravity:
Isolating T, we demonstrate that
b) Replacing θ=5º, m=0.026kg and g=9.8m/s² in the last equation, we can get the tension in Newtons:
c) With θ=0.5º
