A. When solving a polynomial inequality by hand, the solutions of the associated equation are called the numbers. These numbers divide up the number line into regions that contain or do not containof the inequality.
b. When solving a rational inequality by hand, the solutions of the associated equation as well as values that make the of the rational expression zero are called the numbers. The restriction of a rational expression is included in the solution set.

Critical or Key numbers

the intervals which satisfy the inequality

b) fraction on the right-hand side.

Critical

that the denominator can not be equal to zero

Step-by-step explanation:

When solving a polynomial inequality by hand, the solutions of the associated equation are called the Critical or Key numbers. These numbers divide up the number line into regions that contain or do not contain the intervals which satisfy the inequality.

b. When solving a rational inequality by hand, the solutions of the associated equation as well as values that make the fraction on the right-hand side of the rational expression zero are called the Critical numbers. The restriction of a rational expression is that the denominator can not be equal to zero included (Undefined)included in the solution set.

A. boundary, solutions B. denominator, boundary, not

Step-by-step explanation:

A. When solving a polynomial inequality by hand, the solutions of the associated equation are called the boundary numbers. These numbers divide up the number line into regions that contain or do not contain solutions of the inequality.

B. When solving a rational inequality by hand, the solutions of the associated equation as well as values that make the denominator of the rational expression zero are called the boundary numbers. The restriction of a rational expression is not included in the solution set.

This is the correct (Tophat) version

x = central angle apc = measure of minor arc ac

the two angles x and 30 add to 180, so x+30 = 180 and x = 180-30 = 150. the measure of minor arc ac is 150 degrees.

what we need to do from here is find the circumference and then multiply it by x/360 since there are 360 degrees in a circle. in this case, x = 150, so x/360 = 150/360 = 15/36 = 5/12. the shortest distance along the curve from a to c is 5/12 of the distance around the entire circle (aka circumference)

c = circumference

c = pi*d

c = pi*24

c = 24pi

now multiply this by 5/12 to get

distance along minor arc ac = (5/12)*(circumference)

distance along minor arc ac = (5/12)*(24pi)

distance along minor arc ac = 10pi

the formula you can use is

l = (x/360)*pi*d

with

l = length of minor arc

x = central angle

d = diameter

which essentially is the steps we took though a bit differently.

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step-by-step explanation: