a) Acceleration is the derivative of velocity. By the fundamental theorem of calculus,
so that
b) We get the displacement by integrating the velocity function like above. Assume the object starts at the origin, so that its initial position is 
. Then its displacement over the time interval [0, 3] is
c) The total distance traveled is the integral of the absolute value of the velocity function:
for 
and 
for 
, so we split the integral into two as
(Refer to the diagram in the attached photo.)
In this diagram there is defined two
Sides and an
Angle in between (SAS).
Notice how there are two loose endpoints in the diagram. A single line segment can be drawn connecting the endpoints, forming a unique triangle.
If the original diagram is transformed, the dimensions and angles formed by the third line segment remains the same relative to the first two.
Therefore, if two triangles have the same SAS configuration, then they are congruent.
Answer:
10 1/9
Step-by-step explanation:
To make it easier to answer, make both of them into an improper fraction
4 1/5 = 21/3
1 4/9 = 13/9
Now we can multiply them easier
21/3 x 13/9 = 273/27
27 goes into 273 10 times and the left over is 3 so the mixed fraction would be
10 3/27, to simplify
10 1/9
Answer:
r = -15
Step-by-step explanation:
2r + 8 - r = -7
~Combine like terms
r + 8 = -7
~Subtract 8 to both sides
r = -15
Best of Luck!
