0.1005454 + 0.0545454 = <span>0.1545454</span>
Answer:
Correct Answer is B.) 4.8 units
When triangles are congruent, one triangle can be moved (through one, or more, rigid motions) to coincide with the other triangle.
Answer:
![\boxed{\sf Instantaneous \ velocity \ (v) = -3}](https://tex.z-dn.net/?f=%20%5Cboxed%7B%5Csf%20Instantaneous%20%5C%20velocity%20%5C%20%28v%29%20%3D%20-3%7D%20)
Given:
Relation between position of an object at time t is given by:
s(t) = -9 - 3t
To Find:
Instantaneous velocity (v) at t = 8
Step-by-step explanation:
To find instantaneous velocity we will differentiate relation between position of an object at time t by t:
![\sf \implies v = \frac{d}{dt} (s(t))](https://tex.z-dn.net/?f=%20%5Csf%20%5Cimplies%20v%20%3D%20%20%5Cfrac%7Bd%7D%7Bdt%7D%20%28s%28t%29%29)
![\sf \implies v = \frac{d}{dt} ( - 9 - 3t)](https://tex.z-dn.net/?f=%20%5Csf%20%5Cimplies%20v%20%3D%20%20%5Cfrac%7Bd%7D%7Bdt%7D%20%28%20-%209%20-%203t%29)
Differentiate the sum term by term and factor out constants:
![\sf \implies v = \frac{d}{dt} ( - 9) - 3 (\frac{d}{dt} (t))](https://tex.z-dn.net/?f=%20%5Csf%20%5Cimplies%20v%20%3D%20%20%5Cfrac%7Bd%7D%7Bdt%7D%20%28%20-%209%29%20-%203%20%28%5Cfrac%7Bd%7D%7Bdt%7D%20%28t%29%29)
The derivative of -9 is zero:
![\sf \implies v = - 3( \frac{d}{dt} (t)) + 0](https://tex.z-dn.net/?f=%20%5Csf%20%5Cimplies%20v%20%3D%20%20-%203%28%20%5Cfrac%7Bd%7D%7Bdt%7D%20%28t%29%29%20%2B%200)
Simplify the expression:
![\sf \implies v = - 3( \frac{d}{dt} (t))](https://tex.z-dn.net/?f=%20%5Csf%20%5Cimplies%20v%20%3D%20%20-%203%28%20%5Cfrac%7Bd%7D%7Bdt%7D%20%28t%29%29)
The derivative of t is 1:
![\sf \implies v = - 3 \times 1](https://tex.z-dn.net/?f=%20%5Csf%20%5Cimplies%20v%20%3D%20%20-%203%20%20%5Ctimes%201)
Simplify the expression:
![\sf \implies v = - 3](https://tex.z-dn.net/?f=%20%5Csf%20%5Cimplies%20v%20%3D%20%20-%203%20%20)
(As, there is no variable after differentiating the relation between position of an object at time t by t so at time t = 8 is of no use.)
So,
Instantaneous velocity (v) at t = 8 is -3
I would say 32, just from doing PEMDAS.