-2(3x+4)<-4+8 solve the inequality

x > -2

Step-by-step explanation:

-2(3x+4)  < -4+8    (evaluate right side)

-2(3x+4)  < 4    (expand the parentheses on the left side using distributive property)

3x(-2) + 4(-2) < 4

-6x - 8 < 4  (add 8 to both sides)

-6x < 4 + 8

-6x < 12   (divide both sides by 6)

-x < (12/6)

-x < 2   (multiply both sides by -1; remember to flip the sign when multiplying both sides by a negative number)

x > -2

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.