Help would be appreciated.

Step-by-step explanation:

1). f(x) = x² - 9

   g(x) = x - 3

   h(x) = f(x) ÷ g(x)

          =

          =

          = (x + 3)

2). f(x) = x² - 4x + 3

         = x² - 3x - x + 3

          = x(x - 3) - 1(x - 3)

          = (x - 1)( x- 3)

    g(x) = x - 3

   h(x) = f(x) ÷ g(x)

          =

          = (x - 1)

3). f(x) = x² + 4x - 5

          = x² + 5x - x - 5

          = x(x + 5) - 1(x + 5)

          = (x - 1)(x + 5)

    g(x) = x - 1

    h(x) = f(x) ÷ g(x)

           =

           = (x + 5)

4). f(x) = x² - 16

          = (x - 4)(x + 4) [Since a² - b² = (a - b)(a + b)]

   g(x) = (x - 4)

   h(x) = f(x) ÷ g(x)

          =

          = (x + 4)

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.

51

step-by-step explanation:

73-22=51 the   mass number minus the amount of protons gives you the amount of neutrons