The point 6 cm away from the center travels in a circle of circumference 2π*(6 cm) = 12π cm, so that it covers this distance per revolution, 12π cm/1 rev.

So the disk has a linear speed of

(6000 rev/min) * (12π cm/rev) = 72,000π cm/min

which is equivalent to

(72,000π cm/min) * (1/100,000 km/cm) * (60 min/h)

or approximately 135.7 km/h.

4 0

3 years ago

The graph of f(x) = x2 is shifted 3 units to the left to obtain the graph of g(x). Which of the following equations best describ

ANTONII [103]

Answer:

g(x) = (x + 3)^2

Step-by-step explanation:

When a function is shifted to the left or right we can think of a change of units, like a new independent variable is used.

If we have a quadratic function

$f(x)=x^2$

and the graph is shifted 3 units to the left, then we can think of a new unit u that is:

$g(x)=u^2$

The vertix of this parabola, that happens for u=0, happens for x=-3, as the graph is shifted 3 units to the left.

Then, the relation between u and x is:

$u-x=0-(-3)=3\\\\u=x+3$

We can use this relation in the new graph and replace u as:

$g(x)=(x+3)^2$

6 0

3 years ago

Good Luck! :) Try your best.

ivanzaharov [21]

Answer:

( 2 , 6 )

Step-by-step explanation:

Your going over two and up six. Rise over run is a good thing to remember when doing these.

8 0

3 years ago