equation of a line that passes through the point (x1,y1) and has a slope of m is
y-y1=m(x-x1)
given
(1,-2) and slope of 1/3
y-(-2)=1/3(x-1)
general form is ax+by=c (or ax+by+c=0) where a,b,c are integers and a is positive
y-(-2)=1/3(x-1)
y+2=1/3(x-1)
times both sides by 3
3y+6=x-1
minus 3y both sides
6=x-3y-1
add 1 both sides
7=x-3y
x-3y=7
To get ax+by+c=0 form, subtract 7 from both sides to get
x-3y-7=0
Answer:
Step-by-step explanation:
2, 4, 12, 12, 17, 18, 28, 29, 33
(17+18)/2
35/2= 17.5 is the median
Answer:
2.25 GB
Step-by-step explanation:
You and your brother each spend 0.75 GB per month, meaning that together you spend 1.5 GB.
Subtract this from the total to find the remaining amount of data left:
6 - 1.5 = 4.5 GB
Assuming your mother and father split the remaining data equally, simply divide the remaining amount by 2 to find your answer:
4.5 / 2 = 2.25
Therefore, your parents can each use 2.25 GB.
Answer:
wk. 1 : 104, wk. 2 : 109, wk.3 : 218
Step-by-step explanation:
x = 1st week, y = 2nd week, z = 3rd week
x + y + z = 431
y = x + 5.........y - 5 = x
z = 2y
(y - 5) + y + 2y = 431
4y - 5 = 431
4y = 431 + 5
4y = 436
y = 436/4
y = 109 <==== week 2
z = 2y
z = 2(109)
z = 218 <==== week 3
x = y - 5
x = 109 - 5
x = 104 <==== week 1
Answer:
4mph change
Step-by-step explanation: