The graph of a line has a slope of -7 and a y intercept of (0,0). rewrite the equation in standard form (ax+by=c) with a positive x-term. a, b, and c must all be interger

the equation of the line is 7x + y = 0 .

Step-by-step explanation:

in the standard form of the line that is Ax +By = C we can write it in the form of

By = C - Ax

which is in the form of

where m is the slope of the line and c is y intercept made by the line.

comparing   and  

we get that and

since it is given that slope of the line is -7 therefore m = -7 and c = 0

therefore   and

therefore C = 0 , A = 7 and B = 1

therefore the equation becomes 7x + y = 0

search the worksheet up on the internet

step-by-step explanation:

it works trust me

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.