Notice that

so that

We have


so that

You might already know that



so from these formulas we get



If you don't know the formulas mentioned above:
- The first one should be obvious; if you add
copies of 1 together, you end up with
. - The second one is easily derived: If
, then
, so that
or
. - The third can be derived using a similar strategy to the one used here. Consider the expression
, and so on.
Answer:
center: (-5,6)
Radius: 7
Step-by-step explanation:
It would be x+3y=15. Best of luck
- 32 - (-5) =
- 32 + 5 =
- 27
64 - (-6) =
64 + 6 =
70
Answer:
The linear speed is
Step-by-step explanation:
step 1
Find the circumference of the circle
The circumference is equal to
we have
substitute
step 2
Find the linear speed in feet per minute
we know that
The wheel is rotating at 10 revolutions per minute
Convert revolutions to feet
Remember that
One revolution is equal to the circumference of the circle
so
10 revolutions is equal to
therefore
The linear speed is