Struggling with math few math questions! ty

Question 1:

F(x) and g(x) are like variables, just plug into the equation.

f(x) + g(x) = (x + 6) + (12x - 7)

x+6+12x-7 = 13x-1

Question 2: f(3) + g(-1)

You plug in the x-values into the equation, and then take the answer and add them together.

f(3) = 3+4

g(-1) = 12(-1)-6

f(3) = 7

g(-1) = -18

7 + (-18) = -11

Question 3:

This is similar to question 1, plug in the variables and simplify.

9x - (7x+3)

Remember to distribute the "-"

9x - 7x - 3

2x - 3

Question 1. 13x-1

Question 2. -11

Question 2x-3

Step-by-step explanation:

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.