Check/ over algebra 1 answers? ( the '*' are my answers)
is (0,3) a solution to the equation y = x + 3?
yes ***
no
is (1, -4) a solution to the equation y = -2x?
yes
no ***
look at the following points.
(4,0)(3,-1)(6,3)(2,-4)
which are solutions to y=x-4? choose all correct answers.
6,3
4,0 **
3,-1 **
2,-4
there are 8 crackers in 1 serving, 16 crackers in 2 servings, 24 in 3, and so and so on. how many crackers are there in a box of 12 servings?
80
96 **
108
120
now i need answering these questions (:
give an example of an open equation.
how can you use an equation to make a prediction from a pattern?

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.