Is it an identity? and how?
1 answer:
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Use y = mx + b to determine the equation of the graph, then decided the inequality symbol.
m = +5/+6 = b = 5
y = x + 5
6y = 5x + 30
-30 = 5x - 6y ⇒ 5x - 6y = -30
Now let's look at the inequality symbol: The shaded area is below so it will be a less than symbol and it is a solid line so the equal sign is included.
Answer: 5x - 6y ≤ -30
we know that
The scalar magnitude of the velocity vector is the speed. The speed is equal to
in this problem we have
substitute in the formula
therefore
<u>the answer Part a) is</u>
the speed is equal to
<u>Part b) </u>Find the velocity
we know that
<u>Velocity </u>is a vector quantity; both magnitude and direction are needed to define it
in this problem we have
the magnitude is equal to the speed
therefore
<u>the answer Part b) is</u>
the velocity is
Part c)
we know that
the acceleration is equal to the formula
in this problem we have
substitute in the formula
therefore
<u>the answer Part c) is</u>
the acceleration is
This is an example of negative acceleration