Answer:
2.042 meters
Step-by-step explanation:
We have that the angular speed is 80 rpm and we can calculate the linear speed, we know that the linear speed is equal to the radius times the angular speed, like this:
v = w * r
w = 80 rpm, but we must pass it to seconds, that is:
80/60 = 1,333 rps, that is, revolutions per second, to have the same time unit as the linear speed.
v = distance / time = 27,227 / 10 = 2.7227
therefore, the radius would be:
r = v / w = 2.7227 / 1,333
r = 2.042
Which means that the radius is 2.042 meters.
Answer:
(5,-6)
Step-by-step explanation:
ONE WAY:
If , then .
Let's simplify that.
Distribute with :
Combine the end like terms :
Use identity for :
Combine like terms and :
We are given .
So we have that .
The vertex happens at .
Compare to to determine .
Let's plug it in.
So the coordinate is 5.
Let's find the corresponding coordinate by evaluating our expression named at :
So the ordered pair of the vertex is (5,-6).
ANOTHER WAY:
The vertex form of a quadratic is where the vertex is .
Let's put into this form.
We are given .
We will need to complete the square.
I like to use the identity .
So If you add something in, you will have to take it out (and vice versa).
So we have in vertex form is:
.
The vertex is (3,-6).
So if we are dealing with the function .
This means we are going to move the vertex of right 2 units to figure out the vertex of which puts us at (3+2,-6)=(5,-6).
The coordinate was not effected here because we were only moving horizontally not up/down.
For this case we have that the point-slope form of a line is given by:
Where:
m: is the slope
are the coordinates of a point through which the line passes.
In this case we have to:
Substituting we have:
Simplifying:
Thus, the point-slope equation form of the line is:
Answer:
I would love to help you with this question just send all of the possible answer choices such A,B,C,D answers.
Answer:
3x^2 - 2x + 1
Step-by-step explanation:
first row: 5 (x^2) tiles, -2 (x) tiles and 2 (1) tiles
minus (-) tile
second row: 2 (x^2) tiles and 1 (1) tile
equal (=) tile
ans: 3 (x^2) tiles, -2 (x) tiles and 1(1) tile
3x^2 - 2x + 1