Step-by-step explanation:
The particle is at rest when the derivative of x(t), which is its velocity, is zero, i.e.,
![\dfrac{d}{dt}[x(t)] = \dot{x}(t) = 0](https://tex.z-dn.net/?f=%5Cdfrac%7Bd%7D%7Bdt%7D%5Bx%28t%29%5D%20%3D%20%5Cdot%7Bx%7D%28t%29%20%3D%200)
Since
its derivative is

Equating this to zero, we get

This is a familiar quadratic equation whose roots are




This means that the particle will be at rest at t = 3 and t= 4.
Answer:
See below
Step-by-step explanation:
<u><em>Proof:</em></u>
<u><em>Statements </em></u> | <u><em>Reasons</em></u>
AD ≅ BC | Given
AD ║ BC | Given
AC ≅ AC | Reflexive Property
∠DAC ≅ ∠ACB | If 2 || lines are cut by a trans., the | alternate interior ∠s are congruent.
ΔADC ≅ ΔBCA | S.A.S Postulate
BA ≅ DC | Corresponding sides of congruent Δs
So, quad. ABCD is a ║gm | If a quad. has its opposite sides
| congruent, the quad. is a parallelogram.
It is D) 153.86 just find it by using the formula
The value of x is about 4.7