A. calculate the ratio of the length of each arc to the circles circumference
1)the measure of ab is 40°
2)the measure of cd is 90°
b. calculate each arc length. write your answer in terms of π pi
1) if the measure of ab is 45° and the radius is 12 meters, what is the arc length of ab?
2) if the measure of cd is 120° and the radius is 15 centimeters, what is the arc length of cd?
c. calculate each arc length. write your answer in terms of pi.
1)if the measure of ab is 135° what is the arc length of ab?
2) if the measure of cd is 45° what is the arc length of cd?

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1

0

step-by-step explanation:

equals the constant of proportionality.

solve for