Answer:
y= 1/2x-1
Step-by-step explanation:
The equation of a line is y= mx+c
m represents the slope of the line
c represents the y-intercept
So we plug in our information into the equation.
The slope is 1/2 so y= 1/2x + c
The line crosses at (0,-1) which makes -1 the y-intercept as the line crosses at this point on the y-axis.
Therefore, y= 1/2x-1
Answer:
His acceleration is 
meters per seconds²
Step-by-step explanation:
Acceleration is the rate of change of the speed
The formula of acceleration is 
, where
is the final speed
is the initial speed- The unit of the acceleration is meters/second²
∵ Jim goes from 70 meters/minute (beginning speed) to
106 meters/minute (final speed) in 9 seconds
∴ His initial speed = 70 meters/minute
- Change it the meter per second
∵ 1 minute = 60 seconds
∴ 
meters/second
∴ = 
meters/second
∵ His final speed = 106 meters/minute
- Change it the meter per second
∴ 
meters/second
∴ = 
meters/second
∵ The time of the change of his speed is 9 seconds
∴ t = 9
∵ The formula of acceleration is
- Substitute the values of t, and in the formula above
∴ 
∴ His acceleration is meters per seconds²
Answer: A, B, C, and D
Step-by-step explanation:
General rule for the reflection. r(x,y,z)= f(x,-y,z)
Results:
P: (0, - 5, 4)
Y: (-2, - 7, 4)
R: (0, - 7, 4)
A: (0, - 7, 6)
General rule for the translation: t(x,y,z) = r(x+2, y-4,z+3)
Result:
P: (0-2, -5+4 , 4-3) = (-2, -1, 1)
Y: (-2-2, - 7+4, 4-3) = (-4, -3, 1)
R: (0-2, - 7+4, 4-3) = (-2, -3, 1)
A: (0-2, - 7+4, 6-3) = (-2, -3, 3)
1.5 cups of cocoa for every 1 cup of milk
