To find the vertex use -b/2a (for the x value which is also the axis of symmetry)
So 2/-2 = -1 Therefore the axis of symmetry is x=-1 Plug in for the y value:
y= -(-1)^2 -2(-1) + 1 y=-1 + 2 + 1 y=2 Vertex (-1,2)
Answer:
The answer is C=942.48
Step-by-step explanation:
You would figure this out by using the formula C=2πr.
So let's break this down.
Circumference (C) equals (=) pi (π) times 2 times the radius of the circle.
Since the problem gave you the diameter which is the length from one side of the circle to the other, you have to divide the diameter in half. Which would give you a radius of 150.
Taking the 150 you would multiply 10*2*π.
Which would give you....(drumrollllll)
C=942.48
I hope this helps!!
p.s. have any more questions? Post them and comment the link!♥, Sadie
Answer:
340 degrees
Step-by-step explanation:
So the key thing here is to notice that we are given the circumference which will allow us to find a value for the radius of the circle and hence the angle subtended by the arc (the central angle).
So the circumference of a circle = 2pi(r)
This means:
6 = 2pi(r)
Which means that
r = 6/2pi or r = 3/pi
Now we can use this value of r to find our angle in conjunction with the value of the arc length. So:
Arc length is defined by: length = θr
Where θ is our angle value.
So lets plug in:
Multiply by pi to get:
Divide by 3 to get that:
θ = 17pi/9
So if we convert that from radians to degrees we get 340 degrees.
If you change the point's x-coordinate, the point will move either to the left or the right, depending on if the number you change is negative or positive.
