Help Solve?

-m^2 - 9m + 3 (the third one)

Step-by-step explanation:

separate the terms and group them with their equivalents (integers:inetgers, variables: variables, etc.) like so:

4m^2   &   -5m^2    = -m^2

-8m      &   -m          = -9m

12         &    -9          = 3

add them all together to get the expression -m^2-9m+3

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.

answer: both chords and diameters have two endpoints on a circle. diameters must intersect the center of a circle.