Answer:
A. y = 3x + 3
Step-by-step explanation:
Slope = change in y / change in x
From 3 to 5 (x) = +2
From 12 to 18 (y) = +6
slope, m = 6/2 = 3
Using point slope form
y - y1 = m (x - x1)
y - 12 = 3 (x - 3)
y - 12 = 3x - 9
y = 3x -9 + 12
y = 3x + 3
Answer:
The lines for each pair of equations are perpendicular, because the slopes for both of these have negative reciprocals.
Step-by-step explanation:
-5x+10y=5
x-2y=-1
2y=x-(-1)
2y=x+1
y=1/2x+1/2
Answer:
Number of marbles with Williams at the starting = 192
Step-by-step explanation:
Let total number of marbles with Williams = m
He lost marbles = 25% of the total number
= 
= 
Remaining marbles with Williams = m - 
= 
He gave marbles to his brother =
th of the remaining marbles
= 
= 
Remaining marbles after giving marbles to his brother = 120
Therefore, 


m = 
m = 192
Number of marbles with Williams at the starting = 192
The original motivation for choosing the degree as a unit of rotations
and angles is unknown. One theory states that it is related to the fact
that 360 is approximately the number of days in a year.[5] Ancient astronomers noticed that the sun, which follows through the ecliptic path over the course of the year, seems to advance in its path by approximately one degree each day